A spline collocation approach for a generalized wave equation subject to non-local conservation condition

In the present paper, a collocation finite element approach based on cubic splines is presented for the numerical solution of a generalized wave equation subject to non-local conservation condition. The efficiency, accuracy and stability of the method are assessed by applying it to a number of test...

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Veröffentlicht in:Applied mathematics and computation Jg. 217; H. 8; S. 3993 - 4001
Hauptverfasser: Khuri, S.A., Sayfy, A.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier Inc 15.12.2010
Elsevier
Schlagworte:
Approximations and expansions
Collocation
Computational efficiency
Conservation
Exact sciences and technology
Exact solutions
Finite element
Generalized wave equation
Mathematical analysis
Mathematical models
Mathematics
Non-local conservation condition
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in probability and statistics
Partial differential equations
Sciences and techniques of general use
Spline collocation
Splines
Wave equations
Generalized wave equation
Non-local conservation condition
Spline collocation
Finite element
Wave equation
Numerical method
Stochastic method
Spline approximation
Cubic spline
Numerical approximation
Finite element method
Numerical analysis
Applied mathematics
Numerical solution
Analytical solution
Numerical stability
ISSN:0096-3003, 1873-5649
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Beschreibung
Zusammenfassung:In the present paper, a collocation finite element approach based on cubic splines is presented for the numerical solution of a generalized wave equation subject to non-local conservation condition. The efficiency, accuracy and stability of the method are assessed by applying it to a number of test problems. The results are compared with the existing closed-form solutions; the scheme demonstrates that the numerical outcomes are reliable and quite accurate when contrasted with the analytical solutions and an existing numerical method.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.10.005