On one method of boundary value problem regularization by passage to the limit

TL;DR

This paper presents a method for regularizing certain boundary value problems with small parameters by passing to a limiting problem, simplifying numerical solutions while maintaining proximity to the original solution.

Contribution

It introduces a limiting problem approach for boundary value problems with small parameters, making numerical solutions more feasible and accurate.

Findings

Limiting problem approach simplifies boundary value problem solutions.

Method maintains closeness to original solutions.

Applicable to problems where traditional numerical methods fail.

Abstract

For one class of boundary value problem depending on small parameter for which numerical methods for their solution are actually inapplicable, procedure of limiting problem acquisition which is much easier and which solution as much as close to the initial solution is described.