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Volumn 17, Issue 2, 2012, Pages 593-601

The use of Sinc-collocation method for solving multi-point boundary value problems

Author keywords

Multi point boundary value problems; Numerical method; Ordinary differential equations; Sinc function; Sinc collocation

Indexed keywords

ALGEBRA; BOUNDARY VALUE PROBLEMS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 80052373676     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.06.018     Document Type: Article
Times cited : (64)

References (40)
  • 3
    • 0034255221 scopus 로고    scopus 로고
    • Wind-driven currents in a sea with a variable Eddy viscosity calculated via a Sinc-Galerkin technique
    • Winter D.F., Bowers K., Lund J. Wind-driven currents in a sea with a variable Eddy viscosity calculated via a Sinc-Galerkin technique. Int J Numer Methods Fluids 2000, 33:1041-1073.
    • (2000) Int J Numer Methods Fluids , vol.33 , pp. 1041-1073
    • Winter, D.F.1    Bowers, K.2    Lund, J.3
  • 4
    • 0011896069 scopus 로고
    • Sinc-collocation methods for two-point boundary value problems
    • Bialecki B. Sinc-collocation methods for two-point boundary value problems. IMA J Numer Anal 1991, 11:357-375.
    • (1991) IMA J Numer Anal , vol.11 , pp. 357-375
    • Bialecki, B.1
  • 5
    • 77950338358 scopus 로고    scopus 로고
    • Sinc-collocation method for solving astrophysics equations
    • Parand K., Pirkhedri A. Sinc-collocation method for solving astrophysics equations. New Astron 2010, 15:533-537.
    • (2010) New Astron , vol.15 , pp. 533-537
    • Parand, K.1    Pirkhedri, A.2
  • 6
    • 74449086968 scopus 로고    scopus 로고
    • Sinc-collocation method for solving the Blasius equation
    • Parand K., Dehghan M., Pirkhedri A. Sinc-collocation method for solving the Blasius equation. Phys Lett A 2009, 373:4060-4065.
    • (2009) Phys Lett A , vol.373 , pp. 4060-4065
    • Parand, K.1    Dehghan, M.2    Pirkhedri, A.3
  • 8
    • 13444267600 scopus 로고    scopus 로고
    • Sinc-collocation methods for the solution of Hallen's integral equation
    • Saadatmandi A., Razzaghi M., Dehghan M. Sinc-collocation methods for the solution of Hallen's integral equation. J Electromagan Waves Appl 2005, 19(2):245-256.
    • (2005) J Electromagan Waves Appl , vol.19 , Issue.2 , pp. 245-256
    • Saadatmandi, A.1    Razzaghi, M.2    Dehghan, M.3
  • 9
    • 34447542842 scopus 로고    scopus 로고
    • The numerical solution of third-order boundary value problems using Sinc-collocation method
    • Saadatmandi A., Razzaghi M. The numerical solution of third-order boundary value problems using Sinc-collocation method. Commun Numer Meth Eng 2007, 23:681-689.
    • (2007) Commun Numer Meth Eng , vol.23 , pp. 681-689
    • Saadatmandi, A.1    Razzaghi, M.2
  • 10
    • 35348820792 scopus 로고    scopus 로고
    • The numerical solution of a nonlinear system of second-order boundary value problems using the Sinc-collocation method
    • Dehghan M., Saadatmandi A. The numerical solution of a nonlinear system of second-order boundary value problems using the Sinc-collocation method. Math Comput Model 2007, 46:1434-1441.
    • (2007) Math Comput Model , vol.46 , pp. 1434-1441
    • Dehghan, M.1    Saadatmandi, A.2
  • 11
    • 0042522476 scopus 로고    scopus 로고
    • Numerical method for the solution of special nonlinear fourth-order boundary value problems
    • El-Gamel M., Behiry S.H., Hashish H. Numerical method for the solution of special nonlinear fourth-order boundary value problems. Appl Math Comput 2003, 145:717-734.
    • (2003) Appl Math Comput , vol.145 , pp. 717-734
    • El-Gamel, M.1    Behiry, S.H.2    Hashish, H.3
  • 12
    • 38949165472 scopus 로고    scopus 로고
    • Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab
    • Dinh Alain P.N., Quan P.H., Trong D.D. Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab. Nonlinear Anal: Real World Appl 2008, 9:1103-1111.
    • (2008) Nonlinear Anal: Real World Appl , vol.9 , pp. 1103-1111
    • Dinh Alain, P.N.1    Quan, P.H.2    Trong, D.D.3
  • 13
    • 56949096538 scopus 로고    scopus 로고
    • Application of the Sinc method to a dynamic elasto-plastic problem
    • Abdella K., Yu X., Kucuk I. Application of the Sinc method to a dynamic elasto-plastic problem. J Comput Appl Math 2009, 223:626-645.
    • (2009) J Comput Appl Math , vol.223 , pp. 626-645
    • Abdella, K.1    Yu, X.2    Kucuk, I.3
  • 14
    • 0042776172 scopus 로고
    • A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation
    • Lund J., Vogel C.R. A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation. Inverse Probl 1990, 6:205-217.
    • (1990) Inverse Probl , vol.6 , pp. 205-217
    • Lund, J.1    Vogel, C.R.2
  • 15
    • 69249205520 scopus 로고    scopus 로고
    • Application of Sinc-collocation method for solving an inverse problem
    • Shidfar A., Zolfaghari R., Damirchi J. Application of Sinc-collocation method for solving an inverse problem. J Comput Appl Math 2009, 223:545-554.
    • (2009) J Comput Appl Math , vol.223 , pp. 545-554
    • Shidfar, A.1    Zolfaghari, R.2    Damirchi, J.3
  • 16
    • 34248232370 scopus 로고    scopus 로고
    • The numerical solution of integro-differential equation
    • Rashidinia J., Zarebnia M. The numerical solution of integro-differential equation. Appl Math Comput 2007, 188:1124-1130.
    • (2007) Appl Math Comput , vol.188 , pp. 1124-1130
    • Rashidinia, J.1    Zarebnia, M.2
  • 17
    • 78049297008 scopus 로고    scopus 로고
    • On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations
    • Mohsen A., El-Gamel M. On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations. Appl Math Comput 2010, 217:3330-3337.
    • (2010) Appl Math Comput , vol.217 , pp. 3330-3337
    • Mohsen, A.1    El-Gamel, M.2
  • 18
    • 16344367584 scopus 로고    scopus 로고
    • Sinc-Galerkin method for solving nonlinear boundary-value problems
    • El-Gamel M., Zayed A. Sinc-Galerkin method for solving nonlinear boundary-value problems. Comput Math Appl 2004, 48:1285-1298.
    • (2004) Comput Math Appl , vol.48 , pp. 1285-1298
    • El-Gamel, M.1    Zayed, A.2
  • 19
    • 0345327863 scopus 로고    scopus 로고
    • Sinc collocation-interpolation method for the simulation of nonlinear waves
    • Revelli R., Ridolfi L. Sinc collocation-interpolation method for the simulation of nonlinear waves. Comput Math Appl 2003, 46:1443-1453.
    • (2003) Comput Math Appl , vol.46 , pp. 1443-1453
    • Revelli, R.1    Ridolfi, L.2
  • 20
    • 34247589251 scopus 로고    scopus 로고
    • A sinc-collocation method for the linear Fredholm integro-differential equations
    • Mohsen A., El-Gamel M. A sinc-collocation method for the linear Fredholm integro-differential equations. Z Angew Mat Phys 2007, 58:380-390.
    • (2007) Z Angew Mat Phys , vol.58 , pp. 380-390
    • Mohsen, A.1    El-Gamel, M.2
  • 21
    • 46049117852 scopus 로고    scopus 로고
    • On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
    • Mohsen A., El-Gamel M. On the Galerkin and collocation methods for two-point boundary value problems using sinc bases. Comput Math Appl 2008, 56:930-941.
    • (2008) Comput Math Appl , vol.56 , pp. 930-941
    • Mohsen, A.1    El-Gamel, M.2
  • 22
    • 13844298037 scopus 로고    scopus 로고
    • Numerical solution of integral equations by means of the sinc-collocation method based on the double exponential transformation
    • Muhammad M., Nurmuhammad A., Mori M., Sugihara M. Numerical solution of integral equations by means of the sinc-collocation method based on the double exponential transformation. J Comput Appl Math 2005, 177:269-286.
    • (2005) J Comput Appl Math , vol.177 , pp. 269-286
    • Muhammad, M.1    Nurmuhammad, A.2    Mori, M.3    Sugihara, M.4
  • 25
    • 0000384611 scopus 로고
    • Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects
    • Il'in V.A., Moiseev E.I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Differ Equ 1987, 23(7):803-810.
    • (1987) Differ Equ , vol.23 , Issue.7 , pp. 803-810
    • Il'in, V.A.1    Moiseev, E.I.2
  • 26
    • 0000384610 scopus 로고
    • Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator
    • Il'in V.A., Moiseev E.I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Differ Equ 1987, 23(8):979-987.
    • (1987) Differ Equ , vol.23 , Issue.8 , pp. 979-987
    • Il'in, V.A.1    Moiseev, E.I.2
  • 27
    • 0001070154 scopus 로고
    • Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
    • Gupta C.P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation. J Math Anal Appl 1992, 168:540-551.
    • (1992) J Math Anal Appl , vol.168 , pp. 540-551
    • Gupta, C.P.1
  • 28
    • 37349054397 scopus 로고    scopus 로고
    • A survey on nonlocal boundary value problems
    • Ma R. A survey on nonlocal boundary value problems. Appl Math E-Notes 2007, 7:257-279.
    • (2007) Appl Math E-Notes , vol.7 , pp. 257-279
    • Ma, R.1
  • 29
    • 0010952682 scopus 로고
    • Sobre los problems de condiciones a la frontiera en una dimension de carac-teristicas discontinuas
    • Moshinsky M. Sobre los problems de condiciones a la frontiera en una dimension de carac-teristicas discontinuas. Bol Soc Mat Mexicana 1950, 7:1-25.
    • (1950) Bol Soc Mat Mexicana , vol.7 , pp. 1-25
    • Moshinsky, M.1
  • 31
    • 77952577021 scopus 로고    scopus 로고
    • Multi-point boundary value problem for optimal bridge design
    • Geng F., Cui M. Multi-point boundary value problem for optimal bridge design. Int J Comput Math 2010, 87:1051-1056.
    • (2010) Int J Comput Math , vol.87 , pp. 1051-1056
    • Geng, F.1    Cui, M.2
  • 32
    • 0038008731 scopus 로고    scopus 로고
    • Existence of multiple positive solutions for nonlinear m-point boundary value problems
    • Bai C., Fang J. Existence of multiple positive solutions for nonlinear m-point boundary value problems. J Math Anal Appl 2003, 281:76-85.
    • (2003) J Math Anal Appl , vol.281 , pp. 76-85
    • Bai, C.1    Fang, J.2
  • 33
    • 84913353266 scopus 로고
    • A variable order finite difference method for nonlinear multi-point boundary value problems
    • Lentini M., Pereyra V. A variable order finite difference method for nonlinear multi-point boundary value problems. Math Comput 1974, 28:981-1003.
    • (1974) Math Comput , vol.28 , pp. 981-1003
    • Lentini, M.1    Pereyra, V.2
  • 34
    • 32644435892 scopus 로고    scopus 로고
    • Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
    • Dehghan M. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Math Comput Simulat 2006, 71:16-30.
    • (2006) Math Comput Simulat , vol.71 , pp. 16-30
    • Dehghan, M.1
  • 35
    • 33846937009 scopus 로고    scopus 로고
    • On numerical studies of multi-point boundary value problems and its fold bifurcation
    • Zou Y., Hu Q., Zhang R. On numerical studies of multi-point boundary value problems and its fold bifurcation. Appl Math Comput 2007, 185:527-537.
    • (2007) Appl Math Comput , vol.185 , pp. 527-537
    • Zou, Y.1    Hu, Q.2    Zhang, R.3
  • 36
    • 33745489838 scopus 로고    scopus 로고
    • The use of the Adomian decomposition method for solving multi-point boundary value problems
    • Tatari M., Dehghan M. The use of the Adomian decomposition method for solving multi-point boundary value problems. Phys Scripta 2006, 73:672-676.
    • (2006) Phys Scripta , vol.73 , pp. 672-676
    • Tatari, M.1    Dehghan, M.2
  • 37
    • 85196188583 scopus 로고    scopus 로고
    • A semi-numerical technique for solving the multi-point boundary value problems and engineering applications
    • in press
    • Dehghan M, Shakeri F. A semi-numerical technique for solving the multi-point boundary value problems and engineering applications. Int J Numer Methods Heat Fluid Flow, in press.
    • Int J Numer Methods Heat Fluid Flow
    • Dehghan, M.1    Shakeri, F.2
  • 38
    • 77649178600 scopus 로고    scopus 로고
    • The solution of multi-point boundary value problems by the optimal homotopy asymptotic method
    • Ali J., Islam S., Zaman G. The solution of multi-point boundary value problems by the optimal homotopy asymptotic method. Comput Math Appl 2010, 59:2000-2006.
    • (2010) Comput Math Appl , vol.59 , pp. 2000-2006
    • Ali, J.1    Islam, S.2    Zaman, G.3
  • 39
    • 84861829077 scopus 로고    scopus 로고
    • An efficient method for solving multi-point boundary value problems and applications in physics
    • doi:10.1177/1077546311408467, in press
    • Tatari M, Dehghan M, An efficient method for solving multi-point boundary value problems and applications in physics, J Vibr Contr, in press, doi:10.1177/1077546311408467.
    • J Vibr Contr
    • Tatari, M.1    Dehghan, M.2
  • 40
    • 0007946982 scopus 로고
    • Solution of multiple point, nonlinear boundary value problems by method of weighted residuals
    • Haque M., Baluch M.H., Mohsen M.F.N. Solution of multiple point, nonlinear boundary value problems by method of weighted residuals. Int J Comput Math 1986, 19:69-84.
    • (1986) Int J Comput Math , vol.19 , pp. 69-84
    • Haque, M.1    Baluch, M.H.2    Mohsen, M.F.N.3


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