Shahid Beheshti University Journal of Neurodevelopmental Cognition 2645-565X 1 1 2022 05 15 A computational source modeling of brain activity: An inverse problem 51 57 103425 10.52547/jncog.2022.103425 EN Amir Hosein Hadian Rasanan Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran Jamal Amani Rad Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran Journal Article 2022 03 26 Source determination in an inverse problem from the over-specified data plays a crucial role in cognitive modeling. In this paper, an accurate and fast method is proposed for solving the one-dimensional inverse problem concerning diffusion equation with source control parameter. The proposed method is based on applying a compact finite difference scheme for spatial components and solving the system that arose from this scheme by multigrid. https://jncog.sbu.ac.ir/article_103425_aca6ce6a7391177bf3836ec786382e5a.pdf