52b46135-541e-4e25-a417-e7cff93fa3e920231009084338397wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=4051919202291920222210.37394/23206.2023.22https://wseas.com/journals/mathematics/2023.phpJamalDaoudiSMAD Team, Department of Mathematics Polydisciplinary Faculty of Larache Abdelmalek Essaadi University MOROCCOChakirTajaniSMAD Team, Department of Mathematics Polydisciplinary Faculty of Larache Abdelmalek Essaadi University MOROCCOThe Cauchy problem associated with the Helmholtz equation is an ill-posed inverse problem that is challenging to solve due to its instability and sensitivity to noise. In this paper, we propose a metaheuristic approach to solve this problem using Genetic Algorithms in conjunction with Tikhonov regularization. Our approach is able to produce stable, convergent, and accurate solutions for the Cauchy problem, even in the presence of noise. 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