WASET
	%0 Journal Article
	%A Marzieh Dosti and  Alireza Nazemi
	%D 2011
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 56, 2011
	%T Septic B-spline Collocation Method for Solving One-dimensional Hyperbolic Telegraph Equation
	%U https://publications.waset.org/pdf/4298
	%V 56
	%X Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this paper, a numerical solution for the one-dimensional hyperbolic telegraph equation by using the collocation method using the septic splines is proposed. The scheme works in a similar fashion as finite difference methods. Test problems are used to validate our scheme by calculate L2-norm and L∞-norm. The accuracy of the presented method is demonstrated by two test problems. The numerical results are found to be in good agreement with the exact solutions.

	%P 1192 - 1196