Work

A new modification of the finite difference method for solving transmission problems for two-interval differential equations

Year: 2024

Type: article

Abstract: In this paper, we consider a new type of boundary value problems, the main feature of which is the nature of the differential equation being solved and the imposed boundary conditions. Namely, the differential equation under consideration is given on two non-intersecting segments with a common and, on which additional interaction conditions are imposed, the so-called transmission conditions. As is known, classical analytical and numerical methods are designed to solve one-interval differential equations without transmission conditions. The main purpose of this work is to develop a new modification of the classical finite difference method for solving two-interval boundary value transmission problems.

Source: Carpathian Mathematical Publications

DOI: 10.15330/cmp.16.2.575-586

Authors: S. Çavuşoğlu, F.S. Muxtarov, O.Sh. Mukhtarov

Institutions: Azerbaijan National Academy of Sciences, Institute of Mathematics and Mechanics, Tokat Gaziosmanpaşa Üniversitesi

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405914983

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