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This book highlights recent trends in inverse problems and their integration with computer science, a field rapidly evolving yet underexplored mathematically. ICMDS 2024 aims to unite scientists to explore the latest in mathematics and its applications across various scientific disciplines. Key topics include inverse problems, partial differential equations, mathematical control, numerical analysis, and computer science. Our goal is to provide substantial mathematical insights and practical applications to bridge this gap. With its growing significance in media and industry, this event promises to attract a diverse audience and foster collaboration across scientific domains. The main contribution of this book is to give some sufficient mathematical content with expressive results and accurate applications. As a growing field, it is gaining a lot of attention both in media as well as in the industry world, which will attract the interest of readers from different scientist discipline.
List of contents
L. Afraites, M. Srati, A. Oulmelk, Solving a Time-Dependent Source Problem for a Time-Fractional Diffusion Equation with Two Numerical Approaches.- Y. Belkheiri, A. Boudjelal, A. Elmoataz, S. Sch`upp, The Game p-Laplacian Evolution Equation on Graphs: From Image Processing to Machine Learning Applications.- A. Boukdir, A. Laghrib, M. Nachaoui, Hybrid Model for Image Denoising Using Variable Exponents: A Novel High-Order PDE Framework with Local-Nonlocal Coupling.- A. Nachaoui, Sudad M. Rasheed, Gulnar W. Sadiq, A Semi-Analytical Solution for Inverse Cauchy Problems.- A. Nachaoui, L. Gontier, Analytical Solutions for Inverse Cauchy Problems: A Comparative Study.- M. Essahraoui, E. Cherrat, L. Afraites, J. Fergy Tiongson Rabago, Simultaneous Recovery of Corroded Boundaries and Admittance Using the Kohn-Vogelius Method.- F.-E. Limami, A. Laghrib, L. Afraites, A Primal-Dual Approach to Fractional Optimal Control in Non-Smooth Machine Learning: FODE-Based Solutions for Enhanced Image Denoising.- H. Hamdi, M. Ziouane, A. Nachaoui, M. Nachaoui, Regularization and Solution of the Cauchy Problem in Anisotropic Heat Conduction.- A. Nachaoui, Gulnar W. Sadiq, Identification of a Space-Dependent Force in a Hyperbolic Equation Using a Polynomial Expansion.- A. Nachaoui, Cauchy s Problem for the Modified Biharmonic Equation: Derivation and Decoupled Iterative Methods.- M. Nacereddine Toros, M. Nachaoui, M. Johri, A. Laghrib, A Hybrid Image Restoration Approach: Integrating Coherence Transport and Anisotropic Diffusion.- Y. El Mobariki, A. Laghrib, Total Variation Regularized Sparse Image Deconvolution via Accelerated Condat Vu Algorithm.- M. Ziouane, H. Hamdi, M. Nachaoui, A. Nachaoui, A Deep Numerical Study of BFGS and LBFGS Methods for Solving Optimization Problems Arising from Inverse Applications.- Z. Zaabouli, A. Mohssine, L. Afraites, A. Laghrib, A Time-Fractional Approach to High-Order PDE Systems in Image Denoising.
