메뉴 건너뛰기




Volumn 2013, Issue , 2013, Pages

Development of Galerkin method for solving the generalized Burger's-Huxley equation

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV; GAUSS QUADRATURE FORMULA; LEGENDRE BASIS; NUMERICAL RESULTS; NUMERICAL TREATMENTS; SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS;

EID: 84875530196     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2013/165492     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 35649001607 scopus 로고
    • A quantitative description of Ion currents and Its applications to conduction and excitation in nerve
    • 2-s2.0-35649001607
    • Hodgkin A. L., Huxley A. F., A quantitative description of Ion currents and Its applications to conduction and excitation in nerve. The Journal of Physiology 1952 117 4 500 544 2-s2.0-35649001607
    • (1952) The Journal of Physiology , vol.117 , Issue.4 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 3
    • 0038227457 scopus 로고
    • Solitary wave solutions of the generalised Burgers-Huxley equation
    • MR1033403 10.1088/0305-4470/23/3/011 ZBL0708.35079
    • Wang X. Y., Zhu Z. S., Lu Y. K., Solitary wave solutions of the generalised Burgers-Huxley equation. Journal of Physics A 1990 23 3 271 274 MR1033403 10.1088/0305-4470/23/3/011 ZBL0708.35079
    • (1990) Journal of Physics A , vol.23 , Issue.3 , pp. 271-274
    • Wang, X.Y.1    Zhu, Z.S.2    Lu, Y.K.3
  • 4
    • 26844500703 scopus 로고    scopus 로고
    • Numerical solution of the generalized Burger's equation via spectral/spline methods
    • DOI 10.1016/j.amc.2004.11.037, PII S0096300304009245
    • El-Hawary H. M., Abdel-Rahman E. O., Numerical solution of the generalized Burger's equation via spectral/spline methods. Applied Mathematics and Computation 2005 170 1 267 279 10.1016/j.amc.2004.11.037 MR2177222 (Pubitemid 41454812)
    • (2005) Applied Mathematics and Computation , vol.170 , Issue.1 , pp. 267-279
    • El-Hawary, H.M.1    Abdel-Rahman, E.O.2
  • 5
    • 33947705255 scopus 로고    scopus 로고
    • Numerical simulation of the generalized Huxley equation by He's variational iteration method
    • DOI 10.1016/j.amc.2006.07.166, PII S0096300306010563
    • Batiha B., Noorani M. S. M., Hashim I., Numerical simulation of the generalized Huxley equation by He's variational iteration method. Applied Mathematics and Computation 2007 186 2 1322 1325 10.1016/j.amc.2006.07.166 MR2316751 ZBL1118.65367 (Pubitemid 46497338)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.2 , pp. 1322-1325
    • Batiha, B.1    Noorani, M.S.M.2    Hashim, I.3
  • 6
    • 43049168507 scopus 로고    scopus 로고
    • Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation
    • DOI 10.1016/j.cnsns.2007.05.023, PII S1007570407001293
    • Darvishi M. T., Kheybari S., Khani F., Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation. Communications in Nonlinear Science and Numerical Simulation 2008 13 10 2091 2103 10.1016/j.cnsns.2007.05.023 MR2417579 ZBL1221.65261 (Pubitemid 351635968)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.10 , pp. 2091-2103
    • Darvishi, M.T.1    Kheybari, S.2    Khani, F.3
  • 7
    • 62749121611 scopus 로고    scopus 로고
    • A new domain decomposition algorithm for generalized Burger's-Huxley equation based on Chebyshev polynomials and preconditioning
    • 10.1016/j.chaos.2007.01.099 MR2518924 ZBL1197.65153
    • Javidi M., Golbabai A., A new domain decomposition algorithm for generalized Burger's-Huxley equation based on Chebyshev polynomials and preconditioning. Chaos, Solitons & Fractals 2009 39 2 849 857 10.1016/j.chaos.2007.01.099 MR2518924 ZBL1197.65153
    • (2009) Chaos, Solitons & Fractals , vol.39 , Issue.2 , pp. 849-857
    • Javidi, M.1    Golbabai, A.2
  • 8
    • 79960779815 scopus 로고    scopus 로고
    • High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation
    • 10.1002/num.20585
    • Sari M., Gürarslan G., Zeytinoǧlu A., High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation. Numerical Methods for Partial Differential Equations 2010 27 5 1313 1326 10.1002/num.20585
    • (2010) Numerical Methods for Partial Differential Equations , vol.27 , Issue.5 , pp. 1313-1326
    • Sari, M.1    Gürarslan, G.2    Zeytinoǧlu, A.3
  • 9
    • 80054709428 scopus 로고    scopus 로고
    • A modified Chebyshev pseudospectral DD algorithm for the GBH equation
    • 10.1016/j.camwa.2011.08.051 MR2844886 ZBL1236.65122
    • Javidi M., A modified Chebyshev pseudospectral DD algorithm for the GBH equation. Computers & Mathematics with Applications 2011 62 9 3366 3377 10.1016/j.camwa.2011.08.051 MR2844886 ZBL1236.65122
    • (2011) Computers & Mathematics with Applications , vol.62 , Issue.9 , pp. 3366-3377
    • Javidi, M.1
  • 10
    • 84875506149 scopus 로고    scopus 로고
    • A fourth order improved numerical scheme for the generalized Burger's-Huxley equation
    • 10.4236/ajcm.2011.13017
    • Bratsos A., A fourth order improved numerical scheme for the generalized Burger's-Huxley equation. American Journal of Computational Mathematics 2011 1 3 152 158 10.4236/ajcm.2011.13017
    • (2011) American Journal of Computational Mathematics , vol.1 , Issue.3 , pp. 152-158
    • Bratsos, A.1
  • 11
    • 84859421711 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for Burger's-Huxley and Burger's-Fisher equations
    • 10.1016/j.amc.2012.02.035 MR2921364 ZBL1245.65130
    • Zhang R., Yu X., Zhao G., The local discontinuous Galerkin method for Burger's-Huxley and Burger's-Fisher equations. Applied Mathematics and Computation 2012 218 17 8773 8778 10.1016/j.amc.2012.02.035 MR2921364 ZBL1245.65130
    • (2012) Applied Mathematics and Computation , vol.218 , Issue.17 , pp. 8773-8778
    • Zhang, R.1    Yu, X.2    Zhao, G.3
  • 12
    • 67649429772 scopus 로고    scopus 로고
    • Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of (2 n + 1) th-order linear differential equations
    • 10.1016/j.matcom.2009.03.011 MR2549770 ZBL1169.65326
    • Doha E. H., Abd-Elhameed W. M., Efficient spectral ultraspherical-dual- Petrov-Galerkin algorithms for the direct solution of (2 n + 1) th-order linear differential equations. Mathematics and Computers in Simulation 2009 79 11 3221 3242 10.1016/j.matcom.2009.03.011 MR2549770 ZBL1169.65326
    • (2009) Mathematics and Computers in Simulation , vol.79 , Issue.11 , pp. 3221-3242
    • Doha, E.H.1    Abd-Elhameed, W.M.2
  • 13
    • 57649110761 scopus 로고    scopus 로고
    • Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2 n th-order linear differential equations
    • 10.1016/j.apm.2008.05.005 MR2488260
    • Doha E. H., Abd-Elhameed W. M., Bhrawy A. H., Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2 n th-order linear differential equations. Applied Mathematical Modelling 2009 33 4 1982 1996 10.1016/j.apm.2008.05.005 MR2488260
    • (2009) Applied Mathematical Modelling , vol.33 , Issue.4 , pp. 1982-1996
    • Doha, E.H.1    Abd-Elhameed, W.M.2    Bhrawy, A.H.3
  • 14
    • 44149096688 scopus 로고    scopus 로고
    • Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
    • DOI 10.1016/j.apnum.2007.07.001, PII S0168927407001109
    • Doha E. H., Bhrawy A. H., Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Applied Numerical Mathematics 2008 58 8 1224 1244 10.1016/j.apnum.2007.07.001 MR2428974 ZBL1152.65112 (Pubitemid 351718463)
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.8 , pp. 1224-1244
    • Doha, E.H.1    Bhrawy, A.H.2
  • 17
    • 0034432262 scopus 로고    scopus 로고
    • Stable and efficient spectral methods in unbounded domains using Laguerre functions
    • PII S0036142999362936
    • Shen J., Stable and efficient spectral methods in unbounded domains using Laguerre functions. SIAM Journal on Numerical Analysis 2000 38 4 1113 1133 10.1137/S0036142999362936 MR1786133 ZBL0979.65105 (Pubitemid 33778994)
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.4 , pp. 1113-1133
    • Shen, J.1
  • 18
    • 26844480312 scopus 로고    scopus 로고
    • Higher order pseudospectral differentiation matrices
    • DOI 10.1016/j.apnum.2004.12.001, PII S0168927404002600
    • Elbarbary E. M. E., El-Sayed S. M., Higher order pseudospectral differentiation matrices. Applied Numerical Mathematics 2005 55 4 425 438 10.1016/j.apnum.2004.12.001 MR2176622 ZBL1086.65016 (Pubitemid 41454756)
    • (2005) Applied Numerical Mathematics , vol.55 , Issue.4 , pp. 425-438
    • Elbarbary, E.M.E.1    El-Sayed, S.M.2
  • 19
    • 0000515613 scopus 로고
    • Chebyshev solution of differential, integral and integro-differential equations
    • MR0247791 10.1093/comjnl/12.3.282
    • El-gendi S. E., Chebyshev solution of differential, integral and integro-differential equations. The Computer Journal 1969 12 3 282 287 MR0247791 10.1093/comjnl/12.3.282
    • (1969) The Computer Journal , vol.12 , Issue.3 , pp. 282-287
    • El-Gendi, S.E.1
  • 20
    • 74449090869 scopus 로고    scopus 로고
    • Efficient Legendre pseudospectral method for solving integral and integro-differential equations
    • 10.1016/j.cnsns.2009.07.012 MR2585041 ZBL1222.65144
    • El-Kady M., Biomy M., Efficient Legendre pseudospectral method for solving integral and integro-differential equations. Communications in Nonlinear Science and Numerical Simulation 2010 15 7 1724 1739 10.1016/j.cnsns.2009.07. 012 MR2585041 ZBL1222.65144
    • (2010) Communications in Nonlinear Science and Numerical Simulation , vol.15 , Issue.7 , pp. 1724-1739
    • El-Kady, M.1    Biomy, M.2
  • 21
    • 79958078788 scopus 로고    scopus 로고
    • Interactive Chebyshev-Legendre algorithm for linear quadratic optimal regulator systems
    • 10.1142/S0219691311004146 MR2804722 ZBL1225.49032
    • El-Kady M., Biomy M., Interactive Chebyshev-Legendre algorithm for linear quadratic optimal regulator systems. International Journal of Wavelets, Multiresolution and Information Processing 2011 9 3 459 483 10.1142/ S0219691311004146 MR2804722 ZBL1225.49032
    • (2011) International Journal of Wavelets, Multiresolution and Information Processing , vol.9 , Issue.3 , pp. 459-483
    • El-Kady, M.1    Biomy, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.