A Collocation Method for Numerical Solution of Hyperbolic Telegraph Equation with Neumann Boundary Conditions. (28th September 2014)

• Record Type: Journal Article
• Authors: Mittal, R. C.; Bhatia, Rachna
• Other Names: Xu Zhijie Academic Editor.
• Is Part Of: International journal of computational mathematics. Volume 2014(2014)
• Publication Date: 2014-09-28
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 518.05
• DOI: 10.1155/2014/526814
• Languages: English
• ISSNs: 2356-797X

Abstract

Abstract : 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.