English

A collocation method for numerical solution of Telegraph equation

Numerical Analysis 2017-07-11 v1

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 LL_\infty,L2L_2 and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.

Keywords

Cite

@article{arxiv.1707.02721,
  title  = {A collocation method for numerical solution of Telegraph equation},
  author = {M. Zarebnia and R. Parvaz},
  journal= {arXiv preprint arXiv:1707.02721},
  year   = {2017}
}
R2 v1 2026-06-22T20:42:08.014Z