Geodesic
Numerical solution of second order one dimensional hyperbolic equation by exponential B-spline collocation method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 2, pp. 201-213

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In this paper, we propose a method based on collocation of exponential B-splines to obtain numerical solution of 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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     author = {Swarn Singh and Suruchi Singh and R. Arora},
     title = {Numerical solution of second order one dimensional hyperbolic equation by exponential {B-spline} collocation method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_2_a6/}
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Swarn Singh; Suruchi Singh; R. Arora. Numerical solution of second order one dimensional hyperbolic equation by exponential B-spline collocation method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 2, pp. 201-213. http://geodesic.mathdoc.fr/item/SJVM_2017_20_2_a6/