Abstract
In this paper, we propose a method based on collocation of exponential B-splines to obtain numerical solution of a nonlinear second-order one-dimensional hyperbolic equation subject to appropriate initial and Dirichlet boundary conditions. The method is a combination of B-spline collocation method in space and two-stage, second-order strong-stability-preserving Runge–Kutta method in time. The proposed method is shown to be unconditionally stable. The efficiency and accuracy of the method are successfully described by applying the method to a few test problems.
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Original Russian Text © Swarn Singh, Suruchi Singh, R. Arora, 2017, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2017, Vol. 20, No. 2, pp. 201–213.
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Singh, S., Singh, S. & Arora, R. Numerical solution of second-order one-dimensional hyperbolic equation by exponential B-spline collocation method. Numer. Analys. Appl. 10, 164–176 (2017). https://doi.org/10.1134/S1995423917020070
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DOI: https://doi.org/10.1134/S1995423917020070