aspg-33-1602-1792223312 20261017074832 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2023 3 2 H.K. Al-Mahdawi Electronic Computer Centre, University of Diyala, Diyala ,32001, Iraq Mostafa Abotaleb Department of System Programming, South Ural State University, 454080 Chelyabinsk, Russia Hussein Alkattan Department of System Programming, South Ural State University, 454080 Chelyabinsk, Russia El-Sayed M El-kenawy Department of Communications and Electronics, Delta Higher Institute of Engineering and Technology, Mansoura 35111, Egypt In this work, we study the regularization method for solving the Boundary Value Problem (BVP) for heat equation. The discretization method applied with two variables on Volterra integral equation in order to covert the problem into a linear operator equation after applied the separation of variables method to solve the partial differential equation. The regularization way used to obtain the estimate solution by using the Lavrentiev regularization method. 2023 36 44 1602 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.030205 https://americaspg.com/journal/33/article/1602 https://americaspg.com/storage/21677859080.pdf