## NUMERICAL SOLUTION OF SECOND ORDER LINEAR HYPERBOLIC TELEGRAPH EQUATION

## NUMERICAL SOLUTION OF SECOND ORDER LINEAR HYPERBOLIC TELEGRAPH EQUATION

*E. Kirli, D. Irk, M. Z. Gorgulu*

[**PDF**]

## Abstract

This paper is of about a numerical solution of the second order linear hyperbolic telegraph equation. To solve numerically the second order linear hyperbolic telegraph equation, the cubic B-spline collocation method is used in space discretization and the fourth order one-step method is used in time discretization. By using the fourth order one-step method, it is aimed to obtain a numerical algorithm whose accuracy is higher than the current studies. The eâ€€ciency and accuracy of the proposed method is studied by two examples. The obtained results show that the proposed method has higher accuracy as intended.

## Keywords

Collocation method, cubic B-spline functions, one-step method, second order linear hyperbolic telegraph equation.