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Volumn 2014, Issue , 2014, Pages

The improved moving least-square ritz method for the one-dimensional sine-gordon equation

Author keywords

[No Author keywords available]

Indexed keywords

SINE-GORDON EQUATION;

EID: 84896950197     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2014/383219     Document Type: Article
Times cited : (10)

References (59)
  • 2
    • 51249188808 scopus 로고
    • Theory and applications of the sine-gordon equation
    • 2-s2.0-51249188808 10.1007/BF02820622
    • Barone A., Esposito F., Magee C. J., Scott A. C., Theory and applications of the sine-gordon equation. La Rivista del Nuovo Cimento 1971 1 2 227 267 2-s2.0-51249188808 10.1007/BF02820622
    • (1971) La Rivista Del Nuovo Cimento , vol.1 , Issue.2 , pp. 227-267
    • Barone, A.1    Esposito, F.2    Magee, C.J.3    Scott, A.C.4
  • 3
    • 56149124076 scopus 로고    scopus 로고
    • A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions
    • Dehghan M., Shokri A., A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Numerical Methods Partial Differential Equations 2008 79 3 700 715
    • (2008) Numerical Methods Partial Differential Equations , vol.79 , Issue.3 , pp. 700-715
    • Dehghan, M.1    Shokri, A.2
  • 4
    • 66049106086 scopus 로고    scopus 로고
    • Fourth-order compact scheme for the one-dimensional Sine-Gordon equation
    • 10.1002/num.20368 MR2510755 ZBL1175.65093
    • Cui M., Fourth-order compact scheme for the one-dimensional Sine-Gordon equation. Numerical Methods for Partial Differential Equations 2009 25 3 685 711 10.1002/num.20368 MR2510755 ZBL1175.65093
    • (2009) Numerical Methods for Partial Differential Equations , vol.25 , Issue.3 , pp. 685-711
    • Cui, M.1
  • 5
    • 0038440013 scopus 로고    scopus 로고
    • A predictor-corrector scheme for the sine-Gordon equation
    • 10.1002/(SICI)1098-2426(200003)16:2<133: AID-NUM1>3.0.CO;2- P MR1740134 ZBL0951.65089
    • Khaliq A. Q. M., Abukhodair B., Sheng Q., Ismail M. S., A predictor-corrector scheme for the sine-Gordon equation. Numerical Methods for Partial Differential Equations 2000 16 2 133 146 10.1002/(SICI)1098-2426(200003) 16:2<133::AID-NUM1>3.0.CO;2-P MR1740134 ZBL0951.65089
    • (2000) Numerical Methods for Partial Differential Equations , vol.16 , Issue.2 , pp. 133-146
    • Khaliq, A.Q.M.1    Abukhodair, B.2    Sheng, Q.3    Ismail, M.S.4
  • 6
    • 0035841403 scopus 로고    scopus 로고
    • The sine-Gordon equation in the finite line
    • DOI 10.1016/S0096-3003(00)00080-1, PII S0096300300000801
    • Ramos J. I., The sine-Gordon equation in the finite line. Applied Mathematics and Computation 2001 124 1 45 93 10.1016/S0096-3003(00)00080-1 MR1852061 ZBL1026.65071 (Pubitemid 32798657)
    • (2001) Applied Mathematics and Computation , vol.124 , Issue.1 , pp. 45-93
    • Ramos, J.I.1
  • 7
    • 0023306712 scopus 로고
    • Engineer's guide to solition phenomena: Application of the finite element method
    • DOI 10.1016/0045-7825(87)90117-4
    • Argyris J., Haase M., An engineer's guide to soliton phenomena: application of the finite element method. Computer Methods in Applied Mechanics and Engineering 1987 61 1 71 122 10.1016/0045-7825(87)90117-4 MR880423 ZBL0624.76020 (Pubitemid 17556845)
    • (1987) Computer Methods in Applied Mechanics and Engineering , vol.61 , Issue.1 , pp. 71-122
    • Argyris, J.1    Haase, M.2
  • 8
    • 0026124767 scopus 로고
    • Finite element approximation to two-dimensional sine-Gordon solitons
    • DOI 10.1016/0045-7825(91)90136-T
    • Argyris J., Haase M., Heinrich J. C., Finite element approximation to two-dimensional sine-Gordon solitons. Computer Methods in Applied Mechanics and Engineering 1991 86 1 1 26 10.1016/0045-7825(91)90136-T MR1096837 ZBL0762.65073 (Pubitemid 21731269)
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.86 , Issue.1 , pp. 1-26
    • Argyris John1    Haase Maria2    Heinrich Juan, C.3
  • 9
    • 0037507444 scopus 로고    scopus 로고
    • A numerical solution of the sine-Gordon equation using the modified decomposition method
    • 10.1016/S0096-3003(02)00363-6 MR1981698 ZBL1022.65114
    • Kaya D., A numerical solution of the sine-Gordon equation using the modified decomposition method. Applied Mathematics and Computation 2003 143 2-3 309 317 10.1016/S0096-3003(02)00363-6 MR1981698 ZBL1022.65114
    • (2003) Applied Mathematics and Computation , vol.143 , Issue.2-3 , pp. 309-317
    • Kaya, D.1
  • 10
    • 56249086875 scopus 로고    scopus 로고
    • The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation
    • 10.1002/num.20325 MR2453941 ZBL1153.65099
    • Dehghan M., Mirzaei D., The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Numerical Methods for Partial Differential Equations 2008 24 6 1405 1415 10.1002/num.20325 MR2453941 ZBL1153.65099
    • (2008) Numerical Methods for Partial Differential Equations , vol.24 , Issue.6 , pp. 1405-1415
    • Dehghan, M.1    Mirzaei, D.2
  • 11
    • 56149124076 scopus 로고    scopus 로고
    • A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
    • 10.1016/j.matcom.2008.04.018 MR2477558 ZBL1155.65379
    • Dehghan M., Shokri A., A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions. Mathematics and Computers in Simulation 2008 79 3 700 715 10.1016/j.matcom.2008. 04.018 MR2477558 ZBL1155.65379
    • (2008) Mathematics and Computers in Simulation , vol.79 , Issue.3 , pp. 700-715
    • Dehghan, M.1    Shokri, A.2
  • 12
    • 73449115631 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
    • 10.1016/j.cam.2009.11.022 MR2577859 ZBL1183.65113
    • Mirzaei D., Dehghan M., Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation. Journal of Computational and Applied Mathematics 2010 233 10 2737 2754 10.1016/j.cam.2009. 11.022 MR2577859 ZBL1183.65113
    • (2010) Journal of Computational and Applied Mathematics , vol.233 , Issue.10 , pp. 2737-2754
    • Mirzaei, D.1    Dehghan, M.2
  • 13
    • 0347945239 scopus 로고    scopus 로고
    • Discrete singular convolution for the sine-Gordon equation
    • 10.1016/S0167-2789(99)00186-4 MR1740097 ZBL0944.35087
    • Wei G. W., Discrete singular convolution for the sine-Gordon equation. Physica D 2000 137 3-4 247 259 10.1016/S0167-2789(99)00186-4 MR1740097 ZBL0944.35087
    • (2000) Physica D , vol.137 , Issue.3-4 , pp. 247-259
    • Wei, G.W.1
  • 14
    • 70249128335 scopus 로고    scopus 로고
    • Implementation of meshless LBIE method to the 2D non-linear SG problem
    • 10.1002/nme.2635 MR2571808
    • Mirzaei D., Dehghan M., Implementation of meshless LBIE method to the 2D non-linear SG problem. International Journal for Numerical Methods in Engineering 2009 79 13 1662 1682 10.1002/nme.2635 MR2571808
    • (2009) International Journal for Numerical Methods in Engineering , vol.79 , Issue.13 , pp. 1662-1682
    • Mirzaei, D.1    Dehghan, M.2
  • 15
    • 36048991845 scopus 로고    scopus 로고
    • The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
    • DOI 10.1016/j.cma.2007.08.016, PII S0045782507003428
    • Dehghan M., Mirzaei D., The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Computer Methods in Applied Mechanics and Engineering 2008 197 6-8 476 486 10.1016/j.cma.2007.08.016 MR2396038 ZBL1169.76401 (Pubitemid 350091291)
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.6-8 , pp. 476-486
    • Dehghan, M.1    Mirzaei, D.2
  • 16
    • 84864797575 scopus 로고    scopus 로고
    • Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method
    • 10.1016/j.cma.2012.07.010 MR2969191
    • Cheng R. J., Liew K. M., Analyzing two-dimensional sine-Gordon equation with the mesh-free reproducing kernel particle Ritz method. Computer Methods in Applied Mechanics and Engineering 2012 245/246 132 143 10.1016/j.cma.2012.07.010 MR2969191
    • (2012) Computer Methods in Applied Mechanics and Engineering , vol.245-246 , pp. 132-143
    • Cheng, R.J.1    Liew, K.M.2
  • 17
    • 0023165466 scopus 로고
    • An introduction to SPH
    • 2-s2.0-0023165466
    • Monaghan J. J., An introduction to SPH. Computer Physics Communications 1988 48 1 89 96 2-s2.0-0023165466
    • (1988) Computer Physics Communications , vol.48 , Issue.1 , pp. 89-96
    • Monaghan, J.J.1
  • 20
    • 0032136132 scopus 로고    scopus 로고
    • A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri S. N., Zhu T., A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998 22 8-9 117 127 10.1007/s004660050346 MR1649420 ZBL0932.76067 (Pubitemid 128620889)
    • (1998) Computational Mechanics , vol.22 , Issue.2 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 21
    • 71949129098 scopus 로고    scopus 로고
    • Reproducing kernel particle boundary element-free method for potential problems
    • MR2667866
    • Qin Y. X., Cheng Y. M., Reproducing kernel particle boundary element-free method for potential problems. Chinese Journal of Theoretical and Applied Mechanics 2009 41 6 898 905 MR2667866
    • (2009) Chinese Journal of Theoretical and Applied Mechanics , vol.41 , Issue.6 , pp. 898-905
    • Qin, Y.X.1    Cheng, Y.M.2
  • 22
    • 68949213827 scopus 로고    scopus 로고
    • The reproducing kernel particle method for two-dimensional unsteady heat conduction problems
    • 10.1007/s00466-009-0401-8 MR2546589 ZBL05641582
    • Cheng R., Liew K. M., The reproducing kernel particle method for two-dimensional unsteady heat conduction problems. Computational Mechanics 2009 45 2 1 10 10.1007/s00466-009-0401-8 MR2546589 ZBL05641582
    • (2009) Computational Mechanics , vol.45 , Issue.2 , pp. 1-10
    • Cheng, R.1    Liew, K.M.2
  • 23
    • 80054805490 scopus 로고    scopus 로고
    • A meshless analysis of three-dimensional transient heat conduction problems
    • 10.1016/j.enganabound.2011.07.001 MR2847116 ZBL1245.80010
    • Cheng R. J., Liew K. M., A meshless analysis of three-dimensional transient heat conduction problems. Engineering Analysis with Boundary Elements 2012 36 2 203 210 10.1016/j.enganabound.2011.07.001 MR2847116 ZBL1245.80010
    • (2012) Engineering Analysis with Boundary Elements , vol.36 , Issue.2 , pp. 203-210
    • Cheng, R.J.1    Liew, K.M.2
  • 24
    • 33644660251 scopus 로고    scopus 로고
    • Boundary element-free method for elastodynamics
    • DOI 10.1360/142004-25
    • Cheng Y., Peng M., Boundary element-free method for elastodynamics. Science in China G 2005 48 6 641 657 2-s2.0-33644660251 10.1360/142004-25 (Pubitemid 43322615)
    • (2005) Science in China, Series G: Physics Astronomy , vol.48 , Issue.6 , pp. 641-657
    • Cheng, Y.1    Peng, M.2
  • 25
    • 56249135922 scopus 로고    scopus 로고
    • A boundary element-free method (BEFM) for two-dimensional potential problems
    • 10.1016/j.enganabound.2008.03.005 MR2466280 ZBL1160.65348
    • Peng M., Cheng Y., A boundary element-free method (BEFM) for two-dimensional potential problems. Engineering Analysis with Boundary Elements 2009 33 1 77 82 10.1016/j.enganabound.2008.03.005 MR2466280 ZBL1160.65348
    • (2009) Engineering Analysis with Boundary Elements , vol.33 , Issue.1 , pp. 77-82
    • Peng, M.1    Cheng, Y.2
  • 26
    • 84877307992 scopus 로고    scopus 로고
    • An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems
    • 10.1142/S0219876213500436 MR3056497 1350043
    • Wang J., Wang J., Sun F., Cheng Y., An interpolating boundary element-free method with nonsingular weight function for two-dimensional potential problems. International Journal of Computational Methods 2013 10 6 10.1142/S0219876213500436 MR3056497 1350043
    • (2013) International Journal of Computational Methods , vol.10 , Issue.6
    • Wang, J.1    Wang, J.2    Sun, F.3    Cheng, Y.4
  • 27
    • 33947577913 scopus 로고    scopus 로고
    • Analyzing the 2D fracture problems via the enriched boundary element-free method
    • DOI 10.1016/j.ijsolstr.2006.11.018, PII S0020768306004860
    • Liew K. M., Cheng Y., Kitipornchai S., Analyzing the 2D fracture problems via the enriched boundary element-free method. International Journal of Solids and Structures 2007 44 11-12 4220 4233 2-s2.0-33947577913 10.1016/j.ijsolstr. 2006.11.018 (Pubitemid 46483437)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.11-12 , pp. 4220-4233
    • Liew, K.M.1    Cheng, Y.2    Kitipornchai, S.3
  • 28
    • 33644653009 scopus 로고    scopus 로고
    • Complex variable meshless method for fracture problems
    • DOI 10.1007/s11433-004-0027-y
    • Cheng Y., Li J., Complex variable meshless method for fracture problems. Science in China G 2006 49 1 46 59 2-s2.0-33644653009 10.1007/s11433-004-0027-y (Pubitemid 43322908)
    • (2006) Science in China, Series G: Physics Astronomy , vol.49 , Issue.1 , pp. 46-59
    • Cheng, Y.1    Li, J.2
  • 29
    • 77953162678 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems
    • 2-s2.0-77953162678 10.1142/S1758825109000162
    • Peng M., Liu P., Cheng Y., The complex variable element-free Galerkin (CVEFG) method for two-dimensional elasticity problems. International Journal of Applied Mechanics 2009 1 2 367 385 2-s2.0-77953162678 10.1142/S1758825109000162
    • (2009) International Journal of Applied Mechanics , vol.1 , Issue.2 , pp. 367-385
    • Peng, M.1    Liu, P.2    Cheng, Y.3
  • 30
    • 77953149569 scopus 로고    scopus 로고
    • The complex variable reproducing kernel particle method for elasto-plasticity problems
    • 2-s2.0-77953149569 10.1007/s11433-010-0186-y
    • Chen L., Cheng Y. M., The complex variable reproducing kernel particle method for elasto-plasticity problems. Science China 2010 53 5 954 965 2-s2.0-77953149569 10.1007/s11433-010-0186-y
    • (2010) Science China , vol.53 , Issue.5 , pp. 954-965
    • Chen, L.1    Cheng, Y.M.2
  • 31
    • 78649445574 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems
    • 2-s2.0-78649445574 10.1016/j.engstruct.2010.09.025
    • Peng M., Li D., Cheng Y., The complex variable element-free Galerkin (CVEFG) method for elasto-plasticity problems. Engineering Structures 2011 33 1 127 135 2-s2.0-78649445574 10.1016/j.engstruct.2010.09.025
    • (2011) Engineering Structures , vol.33 , Issue.1 , pp. 127-135
    • Peng, M.1    Li, D.2    Cheng, Y.3
  • 32
    • 84866397958 scopus 로고    scopus 로고
    • Complex variable element-free Galerkin (CVEFG) method for viscoelasticity problems
    • 090205
    • Cheng Y. M., Li R. X., Peng M. J., Complex variable element-free Galerkin (CVEFG) method for viscoelasticity problems. Chinese Physics B 2012 21 9 090205
    • (2012) Chinese Physics B , vol.21 , Issue.9
    • Cheng, Y.M.1    Li, R.X.2    Peng, M.J.3
  • 33
    • 84870946982 scopus 로고    scopus 로고
    • A new complex variable meshless method for transient heat conduction problems
    • 120206
    • Wang J. F., Cheng Y. M., A new complex variable meshless method for transient heat conduction problems. Chinese Physics B 2012 21 12 120206
    • (2012) Chinese Physics B , vol.21 , Issue.12
    • Wang, J.F.1    Cheng, Y.M.2
  • 34
    • 84873371433 scopus 로고    scopus 로고
    • The complex variable element-free Galerkin (CVEFG) method for two-dimensional elastodynamics problems
    • 1250042
    • Cheng Y. M., Wang J. F., Li R. X., The complex variable element-free Galerkin (CVEFG) method for two-dimensional elastodynamics problems. International Journal of Applied Mechanics 2012 4 4 1250042
    • (2012) International Journal of Applied Mechanics , vol.4 , Issue.4
    • Cheng, Y.M.1    Wang, J.F.2    Li, R.X.3
  • 35
    • 84875250417 scopus 로고    scopus 로고
    • A new complex variable meshless method for advection-diffusion problems
    • 130208
    • Wang J. F., Cheng Y. M., A new complex variable meshless method for advection-diffusion problems. Chinese Physics B 2013 22 3 130208
    • (2013) Chinese Physics B , vol.22 , Issue.3
    • Wang, J.F.1    Cheng, Y.M.2
  • 36
    • 84877974858 scopus 로고    scopus 로고
    • Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems
    • 130202
    • Chen L., Ma H. P., Cheng Y. M., Combining the complex variable reproducing kernel particle method and the finite element method for solving transient heat conduction problems. Chinese Physics B 2013 22 5 130202
    • (2013) Chinese Physics B , vol.22 , Issue.5
    • Chen, L.1    Ma, H.P.2    Cheng, Y.M.3
  • 37
    • 84855952330 scopus 로고    scopus 로고
    • The interpolating element-free Galerkin (IEFG) method for two-dimensional elasticity problems
    • 10.1142/S1758825111001214
    • Ren H. P., Cheng Y. M., The interpolating element-free Galerkin (IEFG) method for two-dimensional elasticity problems. International Journal of Applied Mechanics 2011 3 4 735 758 10.1142/S1758825111001214
    • (2011) International Journal of Applied Mechanics , vol.3 , Issue.4 , pp. 735-758
    • Ren, H.P.1    Cheng, Y.M.2
  • 38
    • 84866428955 scopus 로고    scopus 로고
    • An improved interpolating element-free Galerkin method with nonsingular weight function for two-dimensional potential problems
    • 090204
    • Wang J. F., Sun F. X., Cheng Y. M., An improved interpolating element-free Galerkin method with nonsingular weight function for two-dimensional potential problems. Chinese Physics B 2012 21 9 090204
    • (2012) Chinese Physics B , vol.21 , Issue.9
    • Wang, J.F.1    Sun, F.X.2    Cheng, Y.M.3
  • 39
    • 84880565889 scopus 로고    scopus 로고
    • Analysis of the generalized Camassa and Holm equation with the improved element-free Galerkin method
    • 060209
    • Cheng R. J., Wei Q., Analysis of the generalized Camassa and Holm equation with the improved element-free Galerkin method. Chinese Physics B 2013 22 6 060209
    • (2013) Chinese Physics B , vol.22 , Issue.6
    • Cheng, R.J.1    Wei, Q.2
  • 40
    • 84867291392 scopus 로고    scopus 로고
    • Analyzing the equal width wave (EW) equation with the mesh-free kp-Ritz method
    • 100209
    • Cheng R. J., Ge H. X., Analyzing the equal width wave (EW) equation with the mesh-free kp-Ritz method. Chinese Physics B 2012 21 10 100209
    • (2012) Chinese Physics B , vol.21 , Issue.10
    • Cheng, R.J.1    Ge, H.X.2
  • 41
    • 84859587050 scopus 로고    scopus 로고
    • The element-free Galerkin method of numerically solving a regularized long-wave equation
    • 2-s2.0-84859587050 10.1088/1674-1056/21/4/040203 040203
    • Cheng R.-J., Ge H.-X., The element-free Galerkin method of numerically solving a regularized long-wave equation. Chinese Physics B 2012 21 4 2-s2.0-84859587050 10.1088/1674-1056/21/4/040203 040203
    • (2012) Chinese Physics B , vol.21 , Issue.4
    • Cheng, R.-J.1    Ge, H.-X.2
  • 42
    • 77955790571 scopus 로고    scopus 로고
    • Improved meshless local Petrov-Galerkin method for two-dimensional potential problems
    • 2-s2.0-77955790571
    • Zheng B.-J., Dai B.-D., Improved meshless local Petrov-Galerkin method for two-dimensional potential problems. Acta Physica Sinica 2010 59 8 5182 5189 2-s2.0-77955790571
    • (2010) Acta Physica Sinica , vol.59 , Issue.8 , pp. 5182-5189
    • Zheng, B.-J.1    Dai, B.-D.2
  • 43
    • 78651098365 scopus 로고    scopus 로고
    • A moving Kriging interpolation-based boundary node ethod for two-dimensional potential problems
    • 120202
    • Guo L. X., Dai B. D., A moving Kriging interpolation-based boundary node ethod for two-dimensional potential problems. Chinese Physics B 2010 12 6 120202
    • (2010) Chinese Physics B , vol.12 , Issue.6
    • Guo, L.X.1    Dai, B.D.2
  • 44
    • 79960838273 scopus 로고    scopus 로고
    • A meshless local moving Kriging method for two-dimensional solids
    • 10.1016/j.amc.2011.05.100 MR2820518 ZBL1275.74033
    • Zheng B., Dai B., A meshless local moving Kriging method for two-dimensional solids. Applied Mathematics and Computation 2011 218 2 563 573 10.1016/j.amc.2011.05.100 MR2820518 ZBL1275.74033
    • (2011) Applied Mathematics and Computation , vol.218 , Issue.2 , pp. 563-573
    • Zheng, B.1    Dai, B.2
  • 45
    • 84877330141 scopus 로고    scopus 로고
    • Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
    • 10.1016/j.amc.2013.04.024 MR3055721
    • Dai B., Zheng B., Liang Q., Wang L., Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method. Applied Mathematics and Computation 2013 219 19 10044 10052 10.1016/j.amc.2013. 04.024 MR3055721
    • (2013) Applied Mathematics and Computation , vol.219 , Issue.19 , pp. 10044-10052
    • Dai, B.1    Zheng, B.2    Liang, Q.3    Wang, L.4
  • 46
    • 83455207970 scopus 로고    scopus 로고
    • An improved local boundary integral equation method for two-dimensional potential problems
    • 2-s2.0-83455207970 10.1142/S1758825110000561
    • Dai B., Cheng Y., An improved local boundary integral equation method for two-dimensional potential problems. International Journal of Applied Mechanics 2010 2 2 421 436 2-s2.0-83455207970 10.1142/S1758825110000561
    • (2010) International Journal of Applied Mechanics , vol.2 , Issue.2 , pp. 421-436
    • Dai, B.1    Cheng, Y.2
  • 48
    • 36649017509 scopus 로고    scopus 로고
    • Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems
    • DOI 10.1016/j.enganabound.2007.06.006, PII S0955799707001208
    • Zhang Z., Liew K. M., Cheng Y., Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems. Engineering Analysis with Boundary Elements 2008 32 2 100 107 2-s2.0-36649017509 10.1016/j.enganabound.2007.06.006 (Pubitemid 350198871)
    • (2008) Engineering Analysis with Boundary Elements , vol.32 , Issue.2 , pp. 100-107
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.3
  • 49
    • 38349104986 scopus 로고    scopus 로고
    • Analyzing 2D fracture problems with the improved element-free Galerkin method
    • 2-s2.0-38349104986 10.1016/j.enganabound.2007.08.012
    • Zhang Z., Liew K. M., Cheng Y., Lee Y. Y., Analyzing 2D fracture problems with the improved element-free Galerkin method. Engineering Analysis with Boundary Elements 2008 32 3 241 250 2-s2.0-38349104986 10.1016/j.enganabound. 2007.08.012
    • (2008) Engineering Analysis with Boundary Elements , vol.32 , Issue.3 , pp. 241-250
    • Zhang, Z.1    Liew, K.M.2    Cheng, Y.3    Lee, Y.Y.4
  • 50
    • 84880303003 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for three-dimensional transient heat conduction problems
    • Zhang Z., Wang J. F., Cheng Y. M., Liew K. M., The improved element-free Galerkin method for three-dimensional transient heat conduction problems. Science China Physics, Mechanics & Astronomy 2013 56 8 1568 1580
    • (2013) Science China Physics, Mechanics & Astronomy , vol.56 , Issue.8 , pp. 1568-1580
    • Zhang, Z.1    Wang, J.F.2    Cheng, Y.M.3    Liew, K.M.4
  • 51
    • 84886287244 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for two-dimensional elastodynamics problems
    • 10.1016/j.enganabound.2013.08.017 MR3124864
    • Zhang Z., Hao S. Y., Liew K. M., Cheng Y. M., The improved element-free Galerkin method for two-dimensional elastodynamics problems. Engineering Analysis with Boundary Elements 2013 37 12 1576 1584 10.1016/j.enganabound.2013. 08.017 MR3124864
    • (2013) Engineering Analysis with Boundary Elements , vol.37 , Issue.12 , pp. 1576-1584
    • Zhang, Z.1    Hao, S.Y.2    Liew, K.M.3    Cheng, Y.M.4
  • 52
    • 84865450119 scopus 로고    scopus 로고
    • The improved element-free Galerkin method for three-dimensional wave equation
    • 10.1007/s10409-012-0083-x MR2950238
    • Zhang Z., Li D.-M., Cheng Y.-M., Liew K. M., The improved element-free Galerkin method for three-dimensional wave equation. Acta Mechanica Sinica 2012 28 3 808 818 10.1007/s10409-012-0083-x MR2950238
    • (2012) Acta Mechanica Sinica , vol.28 , Issue.3 , pp. 808-818
    • Zhang, Z.1    Li, D.-M.2    Cheng, Y.-M.3    Liew, K.M.4
  • 53
    • 0343262489 scopus 로고
    • Uber eine neue methode zur losung gewisser variationsprobleme der mathematischen physic
    • Ritz W., Uber eine neue methode zur losung gewisser variationsprobleme der mathematischen physic. Journal fur Reine und Angewandte Mathematik 1909 135 2 1 61
    • (1909) Journal fur Reine und Angewandte Mathematik , vol.135 , Issue.2 , pp. 1-61
    • Ritz, W.1
  • 54
    • 0003951930 scopus 로고
    • New York, NY, USA Macmillan reprinted by Dover Publications in 1945 MR0016009
    • Rayleigh B. J. W. S., The Theory of Sound 1877 1 New York, NY, USA Macmillan. reprinted by Dover Publications in 1945 MR0016009
    • (1877) The Theory of Sound , vol.1
    • Rayleigh, B.J.W.S.1
  • 55
    • 0013322384 scopus 로고    scopus 로고
    • The element-free kp-Ritz method for vibration of laminated rotating cylindrical panels
    • 10.1142/S0219455402000701
    • Liew K. M., Zhao X., Ng T. Y., The element-free kp-Ritz method for vibration of laminated rotating cylindrical panels. International Journal of Structural Stability and Dynamics 2002 2 4 523 558 10.1142/S0219455402000701
    • (2002) International Journal of Structural Stability and Dynamics , vol.2 , Issue.4 , pp. 523-558
    • Liew, K.M.1    Zhao, X.2    Ng, T.Y.3
  • 56
    • 2342475845 scopus 로고    scopus 로고
    • Free vibration of two-side simply-supported laminated cylindrical panels via the mesh-free kp-Ritz method
    • 2-s2.0-2342475845 10.1016/j.ijmecsci.2004.02.010
    • Zhao X., Ng T. Y., Liew K. M., Free vibration of two-side simply-supported laminated cylindrical panels via the mesh-free kp-Ritz method. International Journal of Mechanical Sciences 2004 46 1 123 142 2-s2.0-2342475845 10.1016/j.ijmecsci.2004.02.010
    • (2004) International Journal of Mechanical Sciences , vol.46 , Issue.1 , pp. 123-142
    • Zhao, X.1    Ng, T.Y.2    Liew, K.M.3
  • 57
    • 6444242614 scopus 로고    scopus 로고
    • Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT
    • DOI 10.1016/j.cma.2004.03.013, PII S0045782504002373
    • Liew K. M., Wang J., Tan M. J., Rajendran S., Nonlinear analysis of laminated composite plates using the mesh-free kp-Ritz method based on FSDT. Computer Methods in Applied Mechanics and Engineering 2004 193 45-47 4763 4779 2-s2.0-6444242614 10.1016/j.cma.2004.03.013 (Pubitemid 39408000)
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.45-47 , pp. 4763-4779
    • Liew, K.M.1    Wang, J.2    Tan, M.J.3    Rajendran, S.4
  • 58
    • 84877749181 scopus 로고    scopus 로고
    • Numerical study of the three-dimensional wave equation using the mesh-free kp-Ritz method
    • Liew K. M., Cheng R. J., Numerical study of the three-dimensional wave equation using the mesh-free kp-Ritz method. Engineering Analysis with Boundary Elements 2013 37 7-8 977 989
    • (2013) Engineering Analysis with Boundary Elements , vol.37 , Issue.7-8 , pp. 977-989
    • Liew, K.M.1    Cheng, R.J.2
  • 59
    • 84889661530 scopus 로고    scopus 로고
    • Modeling of biological population problems using the element-free kp-Ritz method
    • 10.1016/j.amc.2013.11.033 MR3146315
    • Cheng R. J., Zhang L. W., Liew K. M., Modeling of biological population problems using the element-free kp-Ritz method. Applied Mathematics and Computation 2014 227 274 290 10.1016/j.amc.2013.11.033 MR3146315
    • (2014) Applied Mathematics and Computation , vol.227 , pp. 274-290
    • Cheng, R.J.1    Zhang, L.W.2    Liew, K.M.3


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