The decomposition method applied to stiff systems

DOI10.1016/0378-4754(88)90006-7zbMath0645.65040OpenAlexW1998260039MaRDI QIDQ1103343

M. Elrod, G. Adomian, Randolph C. Rach

Publication date: 1988

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(88)90006-7

zbMATH Keywords

decomposition methodRunge-Kutta methodsstiff systemapproximation by series

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical analysis in abstract spaces (65J99)

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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 ⋮ A technique for approximate solutions to Schrödinger-like equations ⋮ Solving systems of ODEs by homotopy analysis method ⋮ A new definition of the Adomian polynomials

Cites Work

• Continuous approximate solution of ordinary differential equations and their systems
• Nonlinear equations with mixed derivatives