Article

Numerical solution of delay nonlinear parabolic differential equations with nonlocal conditions

Allaberen AshyralyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, TurkeySaad Bello MuazuDepartment of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, TurkeyCharyyar AshyralyyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, the numerical solution of delay nonlinear parabolic differential equations is studied. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay and nonlocal conditions are presented. Numerical results have been provided and compared with the exact solution to show the efficiency of the proposed numerical method.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1063/5.0194795

Citations and references

Cited by 07 references

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