RDTM solution of Caputo time fractional-order hyperbolic telegraph equation

AIP Advances - Tập 3 Số 3 - 2013
Vineet K. Srivastava1, Mukesh Kumar Awasthi2, Mohammad Tamsir2
1Tracking and Command Network (ISTRAC) 1 ISRO Telemetry, , Bangalore-560058, India
2Graphic Era University 2 , Dehradun-248002, India

Tóm tắt

In this study, a mathematical model has been developed for the second order hyperbolic one-dimensional time fractional Telegraph equation (TFTE). The fractional derivative has been described in the Caputo sense. The governing equations have been solved by a recent reliable semi-analytic method known as the reduced differential transformation method (RDTM). The method is a powerful mathematical technique for solving wide range of problems. Using RDTM method, it is possible to find exact solution as well as closed approximate solution of any ordinary or partial differential equation. Three numerical examples of TFTE have been provided in order to check the effectiveness, accuracy and convergence of the method. The computed results are also depicted graphically.

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AIP Advances

Tập 3 Số 3

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