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

Faculty Science Year: 2006
Type of Publication: Article Pages: 29-37
Authors:
Hassan, I. H. Abdel-Halim
DOI: 10.1016/j.amc.2005.11.146
Journal: APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC Volume: 180
Research Area: Mathematics ISSN ISI:000241142000004
Keywords : asymptotic expansion, linear and nonlinear initial value problems, regular perturbation method, Duffing's equation, Runge-Kutta method    
Abstract:
In this paper, the asymptotic expansion technique is applied to verify the order of accuracy of asymptotic expansion of linear and nonlinear initial value problems. Numerical solutions are obtained to illustrate the preciseness and effectiveness of verifying the validity of asymptotic expansions. (c) 2006 Published by Elsevier Inc.
    
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