An exact solution for variable coefficients fourth-order wave equation using the Adomian method

Mathematical and Computer Modelling - Tập 44 - Trang 1144-1152 - 2006
Hassan Haddadpour1
1Department of Aerospace Engineering, Sharif University of Technology, Tehran, 11365-8639, Islamic Republic of Iran

Tài liệu tham khảo

Meirovitch, 1997 Meirovitch, 1967 Adomian, 1988, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl., 135, 501, 10.1016/0022-247X(88)90170-9 Adomian, 1993, Analytical solution of nonlinear boundary-value problems in several dimensions by decomposition, J. Math. Anal. Appl., 174, 118, 10.1006/jmaa.1993.1105 Adomian, 1994 Shawagfeh, 1996, Non-perturbative analytical solution of the general Lotka–Volterra three species system, Appl. Math. Comput., T6, 251, 10.1016/0096-3003(95)00162-X Adomian, 1990, Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations, Comput. Math. Appl., 19, 9, 10.1016/0898-1221(90)90246-G Adomian, 1991, A review of the decomposition method and some recent results for nonlinear equations, Comput. Math. Appl., 21, 101, 10.1016/0898-1221(91)90220-X Adomian, 1992, A further consideration of partial solutions in the decomposition method, Comput. Math. Appl., 23, 51, 10.1016/0898-1221(92)90080-2 Adomian, 1995, On the analytical solution of the Lane–Emden equation, Found. Phys. Lett., 8, 161, 10.1007/BF02187585 Wazwaz, 2001, A new algorithm for solving differential equations of Lane–Emden type, Appl. Math. Comput., 118, 287, 10.1016/S0096-3003(99)00223-4 Kaya, 2000, A new approach to the telegraph equation: An application of the decomposition method, Bull. Inst. Math. Acad. Sinica, 28, 51 Kaya, 2000, An application of the decomposition method on second order wave equations, Intern. J. Comput. Math., 75, 235, 10.1080/00207160008804979 Kaya, 2001, Explicit solution of a generalized nonlinear Boussinesq equation, J. Appl. Math., 1, 29, 10.1155/S1110757X01000067 Serrano, 2001, Solute transport under non-linear sorption and decay, Water Res., 35, 1525, 10.1016/S0043-1354(00)00390-0 Serrano, 1998, Analytical decomposition of the non-linear infiltration equation, Water Resour. Res., 34, 397, 10.1029/97WR03348 Wazwaz, 1995, On the solution of the fourth order parabolic equation by the decomposition method, Internat. J. Comput. Math., 57, 213, 10.1080/00207169508804424 Wazwaz, 2001, Analytic treatment for variable coefficient fourth-order parabolic partial differential equations, Appl. Math. Comput., 92, 219, 10.1016/S0096-3003(00)00070-9 Luo, 2006, Revisit on partial solutions in the Adomian decomposition method: Solving heat and wave equations, J. Math. Anal. Appl., 321, 353, 10.1016/j.jmaa.2005.08.043 Wazwaz, 2002, Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces, Appl. Math. Comput., 92, 415, 10.1016/S0096-3003(01)00109-6 Guenther, 1996 Farlow, 1993 Thomson, 1988