SOLVING THE CAUCHY PROBLEM FOR A THREE-DIMENSIONAL DIFFERENCE EQUATION IN A PARALLELEPIPED-Reference-Cited by-同舟云学术

SOLVING THE CAUCHY PROBLEM FOR A THREE-DIMENSIONAL DIFFERENCE EQUATION IN A PARALLELEPIPED

Published:2023-03-01 Issue:2 Volume: Page:5-12
ISSN:0132-3474
Container-title:Программирование
language:
Short-container-title:Programmirovanie

Author:

APANOVICH M. S.¹,LYAPIN A. P.²³,SHADRIN K. V.¹

Affiliation:

1. Professor V.F. Voino-Yasenetsky Krasnoyarsk State Medical University

2. Siberian Federal University

3. Fairmont State University

Abstract

An algorithm for solving the Cauchy problem for a three-dimensional difference equation with constant coefficients by given coefficients of the difference equation and initial data in a parallelepiped. The algorithm is based on the Apanovich and Leirnartas theorems characterizing well-posedness of Cauchy problems and uses computer algebra methods to achieve computational efficiency.The algorithm is implemented in Matlab.

Publisher

The Russian Academy of Sciences

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