Numerical solution of time-nonlocal problem for parabolic equation

2022

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DOI 10.1063/5.0114878
Data confidence 70 medium
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Abstract

In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equa- tion. 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.