Numerical Solution of Delay Nonlinear Parabolic Differential Equations with Nonlocal Conditions

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. © 2024 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. , Muazu S.B. , Ashyralyyev C.
Conference proceedings
AIP Conference Proceedings
Issue number
1
Language
English
State
Published
DOI
10.1063/5.0194795
Number
020018
Volume
3085
Year
2024
Organizations
  • 1 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Near East University, TRNC, Mersin 10, Nicosia, Turkey
  • 5 National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, 100174, Uzbekistan
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