GALERKIN APPROXIMATION FOR ONE-DIMENSIONAL WAVE EQUATION BY QUADRATIC B-SPLINES

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS（2022）

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摘要

This work is devoted to the development of a Galerkin-type approximation of the solution of a wave equation, using quadratic B-Spline functions and a 2-centred finite difference scheme. Two examples are used to validate the proposed approximation. The numerical results obtained show the effectiveness of the procedure for very small times. This makes it attractive for the approximation of PDEs with not known explicit solution.

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关键词

Wave equation, Finite differences, Galerkin method, Finite elements, Quadratic B-splines

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