Work

A Class of Higher Order Turning Point Nonlinear Singularly Perturbed Boundary Value Problem

Year: 2025

Type: article

Abstract: When a boundary layer occurs close to a turning point in a class of singularly perturbation problems with turning points, the solution manifests as a multi-layer phenomena. This paper provides a systematic solution. It focuses on a class of turning point problems and the aspects include constructing formal asymptotic solutions. It also involves establishing the existence and error estimation of the solutions, the relationship with the position of the intermediate layer and boundary layer. In addition, the numerical verification is conducted as well.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240002

Authors: Xinyu Wang, Na Wang

Institution: Shanghai Institute of Technology

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533739

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