Abstract—In this work, we obtain the approximate solutions for the telegraph equations by using optimal perturbation iteration technique. We consider two examples to illustrate the proposed method. The present paper also unveils that optimal perturbation iteration technique converges fast to the accurate solutions of the given equations at lower order of iterations.

Index Terms—Optimal perturbation iteration method, telegraph equation.

Necdet Bildik is with Manisa Celal Bayar University, Faculty of Arts and Science, Department of Mathematics, Muradiye Campus, 45140, Manisa, Turkey (email: necdet.bildik@cbu.edu.tr).

Cite: Necdet Bildik, "Optimal Perturbation Iteration Method for Solving Telegraph Equations," International Journal of Applied Physics and Mathematics vol. 7, no. 3, pp. 165-172, 2017.