The asymptotic expansion and numerical verification method for linear and nonlinear initial value problem

DOI10.1016/j.amc.2005.11.146zbMath1103.65078OpenAlexW2051350665MaRDI QIDQ850219

I. H. Abdel-Halim Hassan

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.146

zbMATH Keywords

error estimatesnumerical examplesRunge-Kutta methodregular perturbation methodDuffing's equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Numerical verification of the orders of accuracy of truncated asymptotic expansion solutions to the van der Pol equation ⋮ A reliable algorithm for solving tenth-order boundary value problems

Cites Work

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• Perturbation methods in applied mathematics
• A Technique for the Numerical Verification of Asymptotic Expansions
• A Perturbation Method for Treating Nonlinear Oscillation Problems

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