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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems
Joint Authors
Ismail, Fudzliah
Maleki, Mohammad
Dizicheh, A. Karimi
Kajani, Majid Tavassoli
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-07
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals.
In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass collocation points of the Legendre wavelet are derived.
Using this strategy, the iterative spectral method converts the differential equation to a set of algebraic equations.
Solving these algebraic equations yields an approximate solution for the differential equation.
The proposed method is illustrated by some numerical examples, and the result is compared with the exponentially fitted Runge-Kutta method.
Our proposed method is simple and highly accurate.
American Psychological Association (APA)
Dizicheh, A. Karimi& Ismail, Fudzliah& Kajani, Majid Tavassoli& Maleki, Mohammad. 2013. A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-483352
Modern Language Association (MLA)
Dizicheh, A. Karimi…[et al.]. A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-483352
American Medical Association (AMA)
Dizicheh, A. Karimi& Ismail, Fudzliah& Kajani, Majid Tavassoli& Maleki, Mohammad. A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-483352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483352