In this paper, first a new homotopy perturbation method for solving a fractional order nonlinear telegraph equation is introduced. By applying the proposed method, the nonlinear equation is translated to linear equations for per iteration of homotopy perturbation method. Then, the obtained problems are solved with separation method. In the examples, it is illustrated that the exact solution is obtained in one iteration by conveniently separating source term of equation.
Kheiri, H., Irandoust-Pakchin, S., & Javidi, M. (2014). Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods. Iranian Journal of Science, 38(4), 423-433. doi: 10.22099/ijsts.2014.2558
MLA
H. Kheiri; S. Irandoust-Pakchin; M. Javidi. "Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods", Iranian Journal of Science, 38, 4, 2014, 423-433. doi: 10.22099/ijsts.2014.2558
HARVARD
Kheiri, H., Irandoust-Pakchin, S., Javidi, M. (2014). 'Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods', Iranian Journal of Science, 38(4), pp. 423-433. doi: 10.22099/ijsts.2014.2558
VANCOUVER
Kheiri, H., Irandoust-Pakchin, S., Javidi, M. Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods. Iranian Journal of Science, 2014; 38(4): 423-433. doi: 10.22099/ijsts.2014.2558
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