Next Article in Journal
Differential Transformation Method for Solving Differential Equations of Lane-Emden Type
Previous Article in Journal
Solving an EPQ Model with Rework and Service Level Constraint
Article Menu

Article Versions

Export Article

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
Open AccessArticle
Math. Comput. Appl. 2006, 11(1), 85-90; https://doi.org/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
Download PDF [135 KB, uploaded 30 March 2016]

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).
SciFeed

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top