A collocation method for numerical solution of Telegraph equation

2017/07/10 by M. Zarebnia, Zarebnia, M., R. Parvaz +1
Mathematics · #Fractional Differential Equations Solutions #Numerical methods for differential equations #Differential Equations and Numerical Methods

paper · pdf · doi:10.48550/arxiv.1707.02721

Abstract

In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples, and the numerical results have been compared with the analytical solutions. The L_∞,L₂ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.

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