Treatment a New Approximation Method and Its Justification for Sturm-Liouville Problems

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Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Wiley-Hindawi

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we propose a new approximation method (we shall call this method as alpha-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 alpha-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 alpha-parameterized differential transform method is a simple and effective numerical algorithm.

Açıklama

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Kaynak

Complexity

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

2020

Sayı

Künye