A New Approach to Approximate Solutions for Nonlinear Differential Equation-Reference-Cited by-同舟云学术

A New Approach to Approximate Solutions for Nonlinear Differential Equation

Published:2018-07-16 Issue: Volume:2018 Page:1-8
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Meftah Safia¹^ORCID

Affiliation:

1. Operators Theory and DPE Foundations and Applications Laboratory, Science Exact Faculty, Echahid Hamma Lakhdar University, P.O. Box 789, El Oued 39000, Algeria

Abstract

The question discussed in this study concerns one of the most helpful approximation methods, namely, the expansion of a solution of a differential equation in a series in powers of a small parameter. We used the Lindstedt-Poincaré perturbation method to construct a solution closer to uniformly valid asymptotic expansions for periodic solutions of second-order nonlinear differential equations.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2018/5129502.pdf

Reference18 articles.

1. Homotopic Approximate Solutions for the General Perturbed Nonlinear Schrödinger Equation

2. Comparison of two Lindstedt–Poincaré-type perturbation methods

3. Best Approximation of the Fractional Semi-Derivative Operator by Exponential Series

4. Sharp Hessian integrability estimates for nonlinear elliptic equations: An asymptotic approach

5. On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant

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