Modified decomposition solution of nonlinear partial differential equations

DOI10.1016/0893-9659(92)90008-WzbMath0794.35023OpenAlexW2066484490MaRDI QIDQ1206206

G. Adomian, Randolph C. Rach

Publication date: 1 April 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90008-w

zbMATH Keywords

nonlinear partial differential equationsAdomian decomposition methodextended Maclaurin series form

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20)

Related Items (10)

Solving nonlocal initial-boundary value problems for the Lotka-von Foerster model ⋮ Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method ⋮ New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods ⋮ Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method ⋮ On the solutions of a Stefan problem with variable latent heat ⋮ Mathematical analysis of a reactive viscous flow through a channel filled with a porous medium ⋮ Inhomogeneous nonlinear partial differential equations with variable coefficients ⋮ Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method ⋮ Improved Adomian decomposition method ⋮ An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations

Cites Work

• Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
• Transformation of series
• Nonlinear transformation of series. II
• A modified decomposition
• A further consideration of partial solutions in the decomposition method
• Nonlinear equations with mixed derivatives
• An Efficient Methodology for the Physical Sciences

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