Application of Homotopy Perturbation Transform Method to Linear and Nonlinear Spacetime Fractional Reactiondiffusion Equations

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Authors
Jagdev Singh
 Department of Mathematics, Jagan Nath University, Jaipur, Rajasthan, India.
Devendra Kumar
 Department of Mathematics, Jagan Nath Gupta Inst. of Engg. & Tech., Jaipur, Rajasthan, India.
Sushila
 Department of Physics, Jagan Nath University, Jaipur, Rajasthan, India
Sumit Gupta
 Department of Mathematics, Jagan Nath Gupta Inst. of Engg. & Tech., Jaipur, Rajasthan, India.
Abstract
In this paper, we obtain the analytical solutions of linear and nonlinear spacetime fractional reactiondiffusion equations on a finite domain by the application of homotopy perturbation transform method (HPTM). The HPTM is a combined form of the Laplace transform method with the homotopy perturbation method. Some examples are also given. Numerical results show that the HPTM is easy to implement and accurate when applied to linear and nonlinear spacetime fractional reactiondiffusion equations.
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ISRP Style
Jagdev Singh, Devendra Kumar, Sushila, Sumit Gupta, Application of Homotopy Perturbation Transform Method to Linear and Nonlinear Spacetime Fractional Reactiondiffusion Equations , Journal of Mathematics and Computer Science, 5 (2012), no. 1, 4052
AMA Style
Singh Jagdev, Kumar Devendra, Sushila, Gupta Sumit, Application of Homotopy Perturbation Transform Method to Linear and Nonlinear Spacetime Fractional Reactiondiffusion Equations . J Math Comput SCIJM. (2012); 5(1):4052
Chicago/Turabian Style
Singh, Jagdev, Kumar, Devendra, Sushila,, Gupta, Sumit. "Application of Homotopy Perturbation Transform Method to Linear and Nonlinear Spacetime Fractional Reactiondiffusion Equations ." Journal of Mathematics and Computer Science, 5, no. 1 (2012): 4052
Keywords
 Homotopy perturbation transform method
 Laplace transform
 fractional reactiondiffusion equation
 Caputo timefractional derivative
 Caputo spacefractional derivative.
MSC
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