Organic Chemistry Frontiers. Vol. 9. 2022. P.. 6958-6967
A Note on Parabolic Difference Equations on Manifold
In this work, we consider nonlocal boundary value problems for parabolic equations on manifold. We set up the first order of accuracy difference scheme for the numerical solution of nonlocal boundary value problems for parabolic equations on circle. For the solutions of the difference scheme, we establish the stability estimates and coercivity estimates in various Hölder norms for the solutions of such boundary value problems. Furthermore, numerical results are given. © 2022 American Institute of Physics Inc.. All rights reserved.
Authors
Ashyralyev A. , Hezenci F. , Sozen Y.
Conference proceedings
Language
English
State
Published
Number
060003
Volume
2483
Year
2022
Organizations
- 1 Department of Mathematics, Near East University, TRNC 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 Mathematics, Duzce University, Konuralp, Duzce, 81620, Turkey
- 5 Department of Mathematics, Hacettepe University, Beytepe, Ankara, 06800, Turkey
Keywords
Difference equations on manifolds; difference schemes; self-adjoint positive definite operator; well-posedness
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