Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

Abstract

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.