Numerical algorithms and decomposition

DOI10.1016/0898-1221(91)90013-TzbMath0728.65068MaRDI QIDQ805169

Ronald E. Meyers, Randolph C. Rach, G. Adomian

Publication date: 1991

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

decomposition methodRunge-Kutta methodanalytic continuationone-step methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Discretization of nonlinear input-driven dynamical systems using the Adomian decomposition method ⋮ Numerical integration, analytic continuation, and decomposition ⋮ Piecewise homotopy methods for nonlinear ordinary differential equations ⋮ Near-field and far-field approximations by the Adomian and asymptotic decomposition methods ⋮ New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods ⋮ Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms ⋮ New ideas for decomposing nonlinearities in differential equations ⋮ New recurrence algorithms for the nonclassic Adomian polynomials ⋮ Improved Adomian decomposition method (solving nonlinear non-homogeneous initial value problem) ⋮ A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions ⋮ A new definition of the Adomian polynomials ⋮ A review of some recent results for the approximate analytical solutions of nonlinear differential equations

Cites Work

• Convergence of Adomian's Method
• A review of the decomposition method and some recent results for nonlinear equations