Karahan, Döne2022-12-282022-12-282022https://doi.org/10.31801/cfsuasmas.1009068http://hdl.handle.net/20.500.12575/86577In 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.enq-analogue of the telegraph differential equation, Laplace transform collocation method, exact solution, approximation solution.On the solutions of the q-analogue of the telegraph differential equationArticle7138468551303-5991