Improved Adomian decomposition method

DOI10.1016/j.camwa.2009.06.009zbMath1189.65241OpenAlexW2087272632MaRDI QIDQ980309

Tamer A. Abassy

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.009

zbMATH Keywords

Boussinesq equationAdomian decomposition methodnonlinear differential equation

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (11)

An optimized decomposition method for nonlinear ordinary and partial differential equations ⋮ A new improved Adomian decomposition method and its application to fractional differential equations ⋮ Modified variational iteration method (non-homogeneous initial value problem) ⋮ New results on the analytic summation of Adomian series for some classes of differential and integral equations ⋮ HE–ELZAKI METHOD FOR SPATIAL DIFFUSION OF BIOLOGICAL POPULATION ⋮ A new conservative finite difference scheme for Boussinesq paradigm equation ⋮ Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II ⋮ Solutions of Volterra integral and integro-differential equations using modified Laplace Adomian decomposition method ⋮ Improved Adomian decomposition method (solving nonlinear non-homogeneous initial value problem) ⋮ Error estimate of the series solution to a class of nonlinear fractional differential equations ⋮ A NEW FORMULA FOR ADOMIAN POLYNOMIALS AND THE ANALYSIS OF ITS TRUNCATED SERIES SOLUTION FOR FRACTIONAL NON-DIFFERENTIABLE INITIAL VALUE PROBLEMS

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