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Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems
Joint Authors
Mukhtarov, O. Sh.
Aydemir, K.
Yücel, M.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mukhtarov, O. Sh.& Yücel, M.& Aydemir, K.. 2020. Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems. Complexity،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1144037
Modern Language Association (MLA)
Mukhtarov, O. Sh.…[et al.]. Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems. Complexity No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1144037
American Medical Association (AMA)
Mukhtarov, O. Sh.& Yücel, M.& Aydemir, K.. Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems. Complexity. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1144037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144037