Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined. © 2022 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. , Ashyralyyev C.
Conference proceedings
Language
English
Status
Published
Number
060001
Volume
2483
Year
2022
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia-10, Mersin, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematical Engineering, Gumushane University, Gumushane, 29100, Turkey
  • 5 TAU, Ashgabat, Turkmenistan
Keywords
Difference Scheme; parabolic equation; time-nonlocal problem
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