A Numerical Algorithm for the Involutory Parabolic Problem with Neumann Condition

In the present paper, the new absolute stable difference schemes for the numerical solution of the one dimensional parabolic partial differential equation with time involution are investigated. For first and second order of accuracy difference schemes new algorithm is proposed, test example is solved, and numerical results are presented. Comparisons of errors are made between the exact and numerical solutions in maximum norm. Computer calculations was carried out in Matlab. © 2021 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyevl A. 1, 2, 3 , Ahmedl A. 2
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0042323
Number
060009
Volume
2334
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia (RUI)N University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Keywords
Difference schemes; Involutory parabolic problem; Numerical algorithm; Stability
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72064/
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