Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems. (11th May 2020)

• Record Type: Journal Article
• Authors: Mukhtarov, O. Sh.; Yücel, M.; Aydemir, K.
• Other Names: Dashkovskiy Sergey Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-05-11
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/8019460
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, we propose a new approximation method (we shall call this method as α -parameterized differential transform method), which differs from the traditional differential transform method in calculating the coefficients of Taylor polynomials. Numerical examples are presented to illustrate the efficiency and reliability of our own method. Namely, two Sturm–Liouville problems are solved by the present α -parameterized differential transform method, and the obtained results are compared with those obtained by the classical DTM and by the analytical method. The result reveals that α -parameterized differential transform method is a simple and effective numerical algorithm.