ON THE SOLUTIONS OF THE q-ANALOGUE OF THE TELEGRAPH DIFFERENTIAL EQUATION.

In this work, q-analogue of the telegraph differential equation is investigated. The approximation solution of q-analogue of the telegraph differential equation is founded by using the Laplace transform collocation method (LTCM). Then, the exact solution is compared with the approximation solution for q-analogue of the telegraph differential equation. The results showed that the method is useful and effective for q-analogue of the telegraph differential equation. [ABSTRACT FROM AUTHOR]