Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition

A. Ashyralyev; S. Ibrahim; E. Hincal

doi:10.31489/2024m3/55-65

Authors

A. Ashyralyev Department of Mathematics, Bahcesehir University Istanbul, Turkey; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan; Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation https://orcid.org/0000-0002-4153-6624
S. Ibrahim Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey https://orcid.org/0009-0009-8913-7217
E. Hincal Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey https://orcid.org/0000-0001-6175-1455

DOI:

https://doi.org/10.31489/2024m3/55-65

Keywords:

numerical algorithm, involution, Robin boundary condition, third order partial differential equations, delay

Abstract

This paper examines the initial value problem for a third-order delay partial differential equation with involution and Robin boundary condition. We construct a first-order accurate difference scheme to obtain the numerical solution for this equation. Illustrative numerical results are provided.

Absolutely stable difference scheme for the delay partial differential equation with involution and Robin boundary condition

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