Exponential Cubic B-spline Collocation Method for Solving the One Dimensional Wave Equation Subject to an Integral Conservation Condition

In this paper, a collocation method is presented based on the exponential B-spline functions for the numerical solution of the one-dimensional wave equation subject to an integral conservation condition. The wave equation is fully-discretized by using the exponential cubic B-spline collocation for s...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1634; no. 1; pp. 12147 - 12151
Main Authors Wu, Beibei, Deng, Wenchao
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.09.2020
Subjects
B spline functions
Collocation methods
Conservation
Discretization
Finite difference method
Integrals
Physics
Wave equations
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Summary:In this paper, a collocation method is presented based on the exponential B-spline functions for the numerical solution of the one-dimensional wave equation subject to an integral conservation condition. The wave equation is fully-discretized by using the exponential cubic B-spline collocation for spatial discretization and the finite difference method for the time discretization. The difference scheme is analyzed to be unconditionally stable. The results of a numerical experiment show the stability and efficiency of the proposed method.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1634/1/012147