Article

Numerical solution of the boundary value problems for the parabolic equation with involution

Allaberen AshyralyevInstitute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan;Charyyar AshyralyyevBahcesehir University, Istanbul, Turkey;A.M.S. AhmedBahcesehir University, Istanbul, Turkey;

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2023en

ABI

Abstract

In this work, we study two boundary value problems for involutary parabolic equation with the first and second kind conditions. We propose absolute stable difference schemes for numerical solutions of these boundary value problems. Actually the stability estimates for solutions of difference schemes are proved. Later error analysis for the numerical solution of both difference schemes are illustrated by test examples.

Topics

Differential Equations and Numerical Methods Differential Equations and Boundary Problems Numerical methods for differential equations

Identifiers

DOI: 10.31489/2023m1/48-57

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