Abstract
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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