Treatment a New Approximation Method and Its Justification for Sturm–Liouville Problems
| Autor: | O. Sh. Mukhtarov, Merve Yücel, Kadriye Aydemir |
|---|---|
| Přispěvatelé: | [Belirlenecek] |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
[Anahtar Kelime Yok]
Multidisciplinary Article Subject General Computer Science [No Keywords] MathematicsofComputing_GENERAL 0211 other engineering and technologies Parameterized complexity Sturm–Liouville theory 02 engineering and technology QA75.5-76.95 Differential transform method symbols.namesake 020303 mechanical engineering & transports 0203 mechanical engineering Simple (abstract algebra) Electronic computers. Computer science Taylor series symbols Applied mathematics Reliability (statistics) 021101 geological & geomatics engineering Mathematics |
| Zdroj: | Complexity, Vol 2020 (2020) |
| ISSN: | 1099-0526 1076-2787 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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