Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations

DOI10.1016/j.amc.2005.12.049zbMath1148.65319OpenAlexW1999951500MaRDI QIDQ945405

Hossein Jafari, Varsha Daftardar-Gejji

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.049

zbMATH Keywords

numerical examplesconvergence accelerationCaputo fractional derivativeAdomian polynomialsrevised Adomian decompositionsystem of ordinary/fractional differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

• Adomian decomposition: a tool for solving a system of fractional differential equations
• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition method
• Solution of the system of ordinary differential equations by Adomian decomposition method.
• Comparing numerical methods for the solutions of systems of ordinary differential equations.
• New ideas for proving convergence of decomposition methods
• Revised Adomian decomposition method for solving a system of nonlinear equations
• Solving a system of nonlinear fractional differential equations using Adomian decomposition
• On a system of differential equations with fractional derivatives arising in rod theory
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