Asymptotic Expansion of Solutions to Singular Perturbation Problems in Critical Cases

Year:    2023

Author:    Hao Zhang, Na Wang

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 637–647

Abstract

This paper investigates the problem of singular perturbed integral initial values and Robin boundary values in the critical case. Based on the boundary layer function method, we not only construct the asymptotic approximation of the original equation, but also prove the uniform validity of the asymptotic solution by successive approximation. At the same time, we give an example to prove the validity of the theoretical results.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2023.637

Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 637–647

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Singularly perturbed problem critical case boundary function method approximate solution.

Author Details

Hao Zhang

Na Wang