A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations

Volume 9, Issue 11, pp 5830--5835 http://dx.doi.org/10.22436/jnsa.009.11.11

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Authors

Feng Gao - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. - State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. H. M. Srivastava - Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, P. R. China. Ya-Nan Gao - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. - State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. Xiao-Jun Yang - School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China. - State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, P. R. China.

Abstract

In this article, a coupling of the variational iteration method with the Sumudu transform via the local fractional calculus operator is proposed for the first time. As a testing example, the exact solution for the local fractional diffusion equation in fractal one-dimensional space is obtained. The method provided an accurate and efficient technique for solving the local fractional PDEs.

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Keywords

• Diffusion equation
• exact solution
• variational iteration method
• Sumudu transform
• local fractional calculus.

MSC

•  35R11
•  26A33
•  35A15

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