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Math. Comput. Appl. 2006, 11(1), 85-90; doi:10.3390/mca11010085

Numerical Verification of the Order of the Asymptotic Solutions of a Nonlinear Differential Equation

Department of Mathematics, Zhangzhou Teachers College, Zhangzhou 363000, China
Published: 1 April 2006
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Abstract

A perturbation method, the Lindstedt-Poincare method, is used to obtain the asymptotic expansions of the solutions of a nonlinear differential equation arising in general relativity. The asymptotic solutions contain no secular term, which overcomes a defect in Khuri’s paper. A technique of numerical order verification is applied to demonstrate that the asymptotic solutions are uniformly valid for small parameter.
Keywords: perturbation method; asymptotic solution; numerical verification; Lindstedt-Poincare method perturbation method; asymptotic solution; numerical verification; Lindstedt-Poincare method
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Cai, J. Numerical Verification of the Order of the Asymptotic Solutions of a Nonlinear Differential Equation. Math. Comput. Appl. 2006, 11, 85-90.

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