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A computational source modeling of brain activity: An inverse problem

Abstract

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 arised from this scheme by multigrid.

Keywords
Brain activity; Inverse problem; Control parameter; Computational modeling

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