期刊名称：International Journal of Computational Mathematics
印刷版ISSN：2356-797X
出版年度：2014
卷号：2014
DOI：10.1155/2014/526814
出版社：Hindawi Publishing Corporation
摘要：We present a technique based on collocation of cubic B-spline basis functions to solve second order one-dimensional hyperbolic telegraph equation with Neumann boundary conditions. The use of cubic B-spline basis functions for spatial variable and its derivatives reduces the problem into system of first order ordinary differential equations. The resulting system subsequently has been solved by SSP-RK54 scheme. The accuracy of the proposed approach has been confirmed with numerical experiments, which shows that the results obtained are acceptable and in good agreement with the exact solution.
