Convergence of the Adomian decomposition method for initial‐value problems
暂无分享,去创建一个
[1] T. Taha,et al. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation , 1984 .
[2] Daniel Lesnic,et al. The decomposition method for initial value problems , 2006, Appl. Math. Comput..
[3] Qingbiao Wu,et al. Revisit on partial solutions in the Adomian decomposition method: Solving heat and wave equations , 2006 .
[4] A. Durán,et al. The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation , 2000 .
[5] C. Sulem,et al. The nonlinear Schrödinger equation : self-focusing and wave collapse , 2004 .
[6] New results on Adomian method , 2003 .
[7] Ibrahim L. El-Kalla. Error Analysis Of Adomian Series Solution To A Class Of Nonlinear Dierential Equations , 2007 .
[8] Mohammad Mahdi Hosseini,et al. On the convergence of Adomian decomposition method , 2006, Appl. Math. Comput..
[9] R. Schreiber. Numerical Methods for Partial Differential Equations , 1999 .
[10] Dogan Kaya,et al. Comparing numerical methods for the solutions of systems of ordinary differential equations , 2004, Appl. Math. Lett..
[11] Y. Cherruault,et al. Convergence of Adomian's method applied to differential equations , 1994 .
[12] Carlo Morosi,et al. On the constants for multiplication in Sobolev spaces , 2006, Adv. Appl. Math..
[13] D. Lesnic. Convergence of Adomian's decomposition method: periodic temperatures , 2002 .
[14] Randolph Rach,et al. A new definition of the Adomian polynomials , 2008, Kybernetes.
[15] Abdul-Majid Wazwaz,et al. The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel , 1996, Int. J. Comput. Math..
[16] R. Rach,et al. On the Adomian (decomposition) method and comparisons with Picard's method , 1987 .
[17] Wolfgang Tutschke,et al. Solution of initial value problems in classes of generalized analytic functions : the method of scales of Banach spaces , 1989 .
[18] Hossein Jafari,et al. Revised Adomian decomposition method for solving a system of nonlinear equations , 2006, Appl. Math. Comput..
[19] Nicola Bellomo,et al. On Adomian's decomposition method and some comparisons with Picard's iterative scheme , 1987 .
[20] Varsha Daftardar-Gejji,et al. An iterative method for solving nonlinear functional equations , 2006 .
[21] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .
[22] Michael A. Golberg. A note on the decomposition method for operator equations , 1999, Appl. Math. Comput..
[23] Ahmed Abdelrazec. Adomian Decomposition Method: Convergence Analysis and Numerical Approximations , 2008 .
[24] Y. Cherruault. Convergence of Adomian's method , 1990 .
[25] George Adomian,et al. Nonlinear Stochastic Systems Theory and Applications to Physics , 1988 .
[26] Jafar Biazar,et al. On the order of convergence of Adomian method , 2002, Appl. Math. Comput..
[27] Abdul-Majid Wazwaz,et al. A comparison between Adomian decomposition method and Taylor series method in the series solutions , 1998, Appl. Math. Comput..
[28] A modification of the Adomian decomposition method for a class of nonlinear singular boundary value problems , 2005 .
[29] Christophe Besse,et al. A Relaxation Scheme for the Nonlinear Schrödinger Equation , 2004, SIAM J. Numer. Anal..
[30] Y. Cherruault,et al. Convergence of Adomian's method applied to nonlinear equations , 1994 .
[31] Govind P. Agrawal,et al. Nonlinear Fiber Optics , 1989 .
[32] Y. Cherruault,et al. New results of convergence of Adomian’s method , 1999 .