Numerical solution of the boundary value problems for the parabolic equation with involution
Инволюциялы параболалық теңдеу үшiн шеттiк есептердiң сандық шешiмi
Численное решение краевых задач для параболического уравнения с инволюцией
Ashyralyev A. Ashyralyyev C. Ahmed A.M.S.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#109Issue 148 - 57 pp.
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.
boundary value problem , finite difference scheme , involution , parabolic , stability estimate
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Bahcesehir University, Istanbul, Turkey
Peoples’ Friendship University of Russia, RUDN University, Moscow, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan
Bahcesehir University
Peoples’ Friendship University of Russia
Institute of Mathematics and Mathematical Modeling
National University of Uzbekistan named after Mirzo Ulugbek
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