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Volumn 2009, Issue , 2009, Pages

Numerical solutions of the generalized burgers-huxley equation by a differential quadrature method

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATIVE METHODS; APPROXIMATE SOLUTIONS; BURGERS-HUXLEY EQUATIONS; COMPUTATIONAL EFFORTS; DIFFERENTIAL QUADRATURE METHODS; EXACT SOLUTIONS; ILLUSTRATIVE EXAMPLES; LOW STORAGES; NUMERICAL SOLUTIONS; RUNGE-KUTTA; THIRD ORDERS; TOTAL VARIATION DIMINISHING;

EID: 65349171462     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2009/370765     Document Type: Article
Times cited : (38)

References (27)
  • 1
    • 0038227457 scopus 로고
    • Solitary wave solutions of the generalised Burgers-Huxley equation
    • 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
    • (1990) Journal of Physics A , vol.23 , Issue.3 , pp. 271-274
    • Wang, X.Y.1    Zhu, Z.S.2    Lu, Y.K.3
  • 2
    • 21344476543 scopus 로고
    • Non-classical symmetries and the singular manifold method: The Burgers and the Burgers-Huxley equations
    • Estevez P. G., Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations Journal of Physics A 1994 27 6 2113 2127 (Pubitemid 24773856)
    • (1994) Journal of Physics A: Mathematical and General , vol.27 , Issue.6 , pp. 2113
    • Estevez, P.G.1
  • 3
    • 43049168507 scopus 로고    scopus 로고
    • Spectral collocation method and Darvishix27;s preconditionings to solve the generalized Burgers-Huxley equation
    • Darvishi M. T., Kheybari S., Khani F., Spectral collocation method and Darvishix27;s preconditionings to solve the generalized Burgers-Huxley equation Communications in Nonlinear Science and Numerical Simulation 2008 13 10 2091 2103
    • (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
  • 4
    • 33746228097 scopus 로고    scopus 로고
    • A numerical solution of the generalized Burger's-Huxley equation by spectral collocation method
    • DOI 10.1016/j.amc.2005.11.051, PII S0096300305009793
    • Javidi M., A numerical solution of the generalized Burgers-Huxley equation by spectral collocation method Applied Mathematics and Computation 2006 178 2 338 344 (Pubitemid 44092996)
    • (2006) Applied Mathematics and Computation , vol.178 , Issue.2 , pp. 338-344
    • Javidi, M.1
  • 5
    • 85126465892 scopus 로고    scopus 로고
    • A new domain decomposition algorithm for generalized Burgerx27;s-Huxley equation based on Chebyshev polynomials and preconditioning
    • In press
    • Javidi M., Golbabai A., A new domain decomposition algorithm for generalized Burgerx27;s-Huxley equation based on Chebyshev polynomials and preconditioning. Chaos, Solitons x26; Fractals. In press
    • Chaos, Solitons x26; Fractals
    • Javidi, M.1    Golbabai, A.2
  • 6
    • 33646136008 scopus 로고    scopus 로고
    • Solving the generalized Burgers-Huxley equation using the Adomian decomposition method
    • Hashim I., Noorani M. S. M., Said Al-Hadidi M. R., Solving the generalized Burgers-Huxley equation using the Adomian decomposition method Mathematical and Computer Modelling 2006 43 11-12 1404 1411
    • (2006) Mathematical and Computer Modelling , vol.43 , Issue.11-12 , pp. 1404-1411
    • Hashim, I.1    Noorani, M.S.M.2    Said Al-Hadidi, M.R.3
  • 7
    • 33750481227 scopus 로고    scopus 로고
    • A note on the Adomian decomposition method for the generalized Huxley equation
    • DOI 10.1016/j.amc.2006.03.011, PII S0096300306002633
    • Hashim I., Noorani M. S. M., Batiha B., A note on the Adomian decomposition method for the generalized Huxley equation Applied Mathematics and Computation 2006 181 2 1439 1445 (Pubitemid 44646616)
    • (2006) Applied Mathematics and Computation , vol.181 , Issue.2 , pp. 1439-1445
    • Hashim, I.1    Noorani, M.S.M.2    Batiha, B.3
  • 8
    • 4944259773 scopus 로고    scopus 로고
    • Adomian decomposition method for Burgerx27;s-Huxley and Burgerx27;s-Fisher equations
    • Ismail H. N. A., Raslan K., Abd Rabboh A. A., Adomian decomposition method for Burgerx27;s-Huxley and Burgerx27;s-Fisher equations Applied Mathematics and Computation 2004 159 1 291 301
    • (2004) Applied Mathematics and Computation , vol.159 , Issue.1 , pp. 291-301
    • Ismail, H.N.A.1    Raslan, K.2    Abd Rabboh, A.A.3
  • 9
  • 10
    • 37349105607 scopus 로고    scopus 로고
    • Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
    • DOI 10.1016/j.amc.2007.05.020, PII S0096300307006133
    • Wazwaz A.-M., Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations Applied Mathematics and Computation 2008 195 2 754 761 (Pubitemid 350309653)
    • (2008) Applied Mathematics and Computation , vol.195 , Issue.2 , pp. 754-761
    • Wazwaz, A.-M.1
  • 11
    • 37349130963 scopus 로고    scopus 로고
    • Application of variational iteration method to the generalized Burgers-Huxley equation
    • DOI 10.1016/j.chaos.2006.06.080, PII S0960077906006941
    • Batiha B., Noorani M. S. M., Hashim I., Application of variational iteration method to the generalized Burgers-Huxley equation Chaos, Solitons x26; Fractals 2008 36 3 660 663 (Pubitemid 350297932)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.3 , pp. 660-663
    • Batiha, B.1    Noorani, M.S.M.2    Hashim, I.3
  • 12
    • 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 Hex27;s variational iteration method Applied Mathematics and Computation 2007 186 2 1322 1325 (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
  • 14
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • Bellman R., Kashef B. G., Casti J., Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations Journal of Computational Physics 1972 10 40 52
    • (1972) Journal of Computational Physics , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 15
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C. W., Malik M., Differential quadrature method in computational mechanics: a review Applied Mechanics Review 1996 49 1 1 28 (Pubitemid 126614778)
    • (1996) Applied Mechanics Reviews , vol.49 , Issue.1 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 16
    • 41949083257 scopus 로고    scopus 로고
    • Differential quadrature method for singularly perturbed two-point boundary value problems
    • Sari M., Differential quadrature method for singularly perturbed two-point boundary value problems Journal of Applied Sciences 2008 8 1091 1096
    • (2008) Journal of Applied Sciences , vol.8 , pp. 1091-1096
    • Sari, M.1
  • 18
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Richards B.E., Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations International Journal for Numerical Methods in Fluids 1992 15 7 791 798 (Pubitemid 23557497)
    • (1992) International Journal for Numerical Methods in Fluids , vol.15 , Issue.7 , pp. 791-798
    • Chang, S.1    Richards Bryan, E.2
  • 19
    • 33646081035 scopus 로고    scopus 로고
    • Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method
    • YxFC;cel U., Approximations of Sturm-Liouville eigenvalues using differential quadrature (DQ) method Journal of Computational and Applied Mathematics 2006 192 2 310 319
    • (2006) Journal of Computational and Applied Mathematics , vol.192 , Issue.2 , pp. 310-319
    • Yxfc1    Cel, U.2
  • 20
    • 61449123934 scopus 로고    scopus 로고
    • Differential quadrature method (DQM) for a class of singular two-point boundary value problems
    • YxFC;cel U., Sari M., Differential quadrature method (DQM) for a class of singular two-point boundary value problems International Journal of Computer Mathematics 2009 86 3 465 475
    • (2009) International Journal of Computer Mathematics , vol.86 , Issue.3 , pp. 465-475
    • Yxfc1    Cel, U.2    Sari, M.3
  • 21
    • 0036815601 scopus 로고    scopus 로고
    • A localized differential quadrature (LDQ) method and its application to the 2D wave equation
    • DOI 10.1007/s00466-002-0349-4
    • Zong Z., Lam K. Y., A localized differential quadrature (LDQ) method and its application to the 2D wave equation Computational Mechanics 2002 29 4-5 382 391 (Pubitemid 35422278)
    • (2002) Computational Mechanics , vol.29 , Issue.4-5 , pp. 382-391
    • Zong, Z.1    Lam, K.Y.2
  • 22
    • 0031207279 scopus 로고    scopus 로고
    • Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems
    • Shu C., Chew Y. T., Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems Communications in Numerical Methods in Engineering 1997 13 8 643 653 (Pubitemid 127548006)
    • (1997) Communications in Numerical Methods in Engineering , vol.13 , Issue.8 , pp. 643-653
    • Shu, C.1    Chew, Y.T.2
  • 23
    • 0031187639 scopus 로고    scopus 로고
    • Explicit computation of weighting coefficients in the harmonic differential quadrature
    • Shu C., Xue H., Explicit computation of weighting coefficients in the harmonic differential quadrature Journal of Sound and Vibration 1997 204 3 549 555 (Pubitemid 127401724)
    • (1997) Journal of Sound and Vibration , vol.204 , Issue.3 , pp. 549-555
    • Shu, C.1    Xue, H.2
  • 25
    • 0032345207 scopus 로고    scopus 로고
    • Total variation diminishing Runge-Kutta schemes
    • Gottlieb S., Shu C.-W., Total variation diminishing Runge-Kutta schemes Mathematics of Computation 1998 67 221 73 85 (Pubitemid 128381509)
    • (1998) Mathematics of Computation , vol.67 , Issue.221 , pp. 73-85
    • Gottlieb, S.1    Shu, C.-W.2
  • 26
    • 0002721581 scopus 로고
    • Mathematical models of excitation and propagation in nerve
    • New York, NY, USA McGraw-Hill
    • Fitzhugh R., Schwan H. P., Mathematical models of excitation and propagation in nerve Biological Engineering 1969 New York, NY, USA McGraw-Hill 1 85
    • (1969) Biological Engineering , pp. 1-85
    • Fitzhugh, R.1    Schwan, H.P.2
  • 27
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin A. L., Huxley A. F., A quantitative description of membrane current and its application to conduction and excitation in nerve The Journal of Physiology 1952 117 500 544
    • (1952) The Journal of Physiology , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.