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.