Titlebook: New Trends of Mathematical Inverse Problems and Applications; ICNTAM 2022, Béni Me Amine Laghrib,Lekbir Afraites,Mourad Nachaoui Conference

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Conference proceedings 2023022, which took place in Béni Mellal, Morocco, 19-21 May 2022..The papers deal with the following topics: Inverse Problems, Partial Differential Equations, Mathematical Control, Numerical Analysis and Computer Science. The main interest is in recent trends on Inverse Problems analysis and real appli

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A Mesh Free Wavelet Method to Solve the Cauchy Problem for the Helmholtz Equation,ving the resulting linear system of equations using a least-squares method. The effectiveness of the proposed method is demonstrated through numerical experiments. From these results, we demonstrate that the Haar wavelet method can be used to obtain an accurate solution to the problem.

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Meshless Methods to Noninvasively Calculate Neurocortical Potentials from Potentials Measured at thhy problem associated with noninvasive calculation of neurocortical potentials. We derive the mathematical formulas and discuss the numerical implementation of the method, and demonstrate its effectiveness using numerical simulations.

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