A new generalization of the differential transform method for solving boundary value problems

Authors : Oktay MUKHTAROV, Merve YÜCEL, Kadriye AYDEMİR

Pages : 49-58

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Publication Date : 2021-08-31

Article Type : Research Paper

Abstract :In this article, we propose a new generalization of the differential transformation method insert ignore into journalissuearticles values(DTM);, i.e., α-Parameterized Differential Transform Method insert ignore into journalissuearticles values(α-PDTM);, for finding approximate solutions to the boundary value problems. We then apply the proposed method to two boundary value problems for different values of the parameter α. Afterwards, we compare its solutions with DTM and exact solutions. Moreover, we present several visual illustrations.
Keywords : Differential transform method, Boundary value problems, Approximate solution