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A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions
Joint Authors
Zhang, Di
Peng, Fusheng
Miao, Xiaoping
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The present paper proposes a new unconditionally stable method to solve telegraph equation by using associated Hermite (AH) orthogonal functions.
Unlike other numerical approaches, the time variables in the given equation can be handled analytically by AH basis functions.
By using the Galerkin’s method, one can eliminate the time variables from calculations, which results in a series of implicit equations.
And the coefficients of results for all orders can then be obtained by the expanded equations and the numerical results can be reconstructed during the computing process.
The precision and stability of the proposed method are proved by some examples, which show the numerical solution acquired is acceptable when compared with some existing methods.
American Psychological Association (APA)
Zhang, Di& Peng, Fusheng& Miao, Xiaoping. 2016. A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095881
Modern Language Association (MLA)
Zhang, Di…[et al.]. A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions. Advances in Mathematical Physics No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1095881
American Medical Association (AMA)
Zhang, Di& Peng, Fusheng& Miao, Xiaoping. A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095881
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095881