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/content/aip/journal/adva/3/3/10.1063/1.4799548
1.
1. Y. Keskin and G. Oturanc, “Reduced differential transform method: a new approach to factional partial differential equations,” Nonlinear Sci. Lett. A 1, 61 (2010).
2.
2. Y. Keskin and G. Oturanc, “Reduced differential transform method for partial differential equations,” Int. J. Nonlinear Sci. Numer. Simul. 10, 741 (2009).
http://dx.doi.org/10.1515/IJNSNS.2009.10.6.741
3.
3. R. Abazari and M. Ganji, “Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay,” Int. J. Comput. Math. 88, 1749 (2011).
http://dx.doi.org/10.1080/00207160.2010.526704
4.
4. P. K. Gupta, “Approximate analytical solutions of fractional Benney-Lin equation by reduced differential transform method and the homotopy perturbation method,” Comp. and Math. App. 58, 2829 (2011).
http://dx.doi.org/10.1016/j.camwa.2011.03.057
5.
5. R. Abazari and M. Abazari, “Numerical simulation of gerneralized Hirota-Satsuma coupled KdV equation by RDTM and comparison with DTM,” Commun.Nonlinear Sci. Numer. Simulat. 17, 619 (2012).
http://dx.doi.org/10.1016/j.cnsns.2011.05.022
6.
6. A. Mohebbi and M. Dehaghan, “High order compact solution of the one dimensional linear hyperbolic equation,” Num. Meth. Partial Diff. Eqn. 24, 1122 (2008).
7.
7. M. S. El-Azab and M. El-Glamel, “A numerical algorithm for the solution of telegraph equation,” Appl. Math. Comput. 190, 757 (2007).
http://dx.doi.org/10.1016/j.amc.2007.01.091
8.
8. S. A. Yousefi, “Legendre multi wavelet Galerkin method for solving the hyperbolic equation,” Num. Meth. Partial Diff. Eqn. (2008).
9.
9. F. Gao and C. Chi, “Unconditionally stable difference scheme for a one-space dimensional linear hyperbolic equation,” Appl. Math. Comput. 187, 1272 (2007).
http://dx.doi.org/10.1016/j.amc.2006.09.057
10.
10. M. Dehaghan and A. Ghesmati, “Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method,” Eng. Anal. Bound. Elements. 34, 51 (2010).
http://dx.doi.org/10.1016/j.enganabound.2009.07.002
11.
11. K. S. Millar and B. Ross, An Introduction to the fractional calculus and fractional differential equations (Wiley, New York, 1993).
12.
12. M. Caputo and F. Mainardi, “Linear models of dissipation in anelastic solids,” Rivista del Nuovo Cimento 1, 161 (1971).
http://dx.doi.org/10.1007/BF02820620
13.
13. I. Podlubny, Fractional differential equations (Academic Press, San Diego, 1999).
14.
14. R. Hilfer, Applications of fractional calculus in physics (World scientific, Singapore, 2000).
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/content/aip/journal/adva/3/3/10.1063/1.4799548
2013-03-27
2016-12-09

Abstract

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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