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

作者：Gao, Feng^*; Srivastava, H. M.; Gao, Ya-Nan; Yang, Xiao-Jun

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(11): 5830-5835.

DOI：10.22436/jnsa.009.11.11

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

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.

• 出版日期2016
• 单位中国医科大学; 中国矿业大学（北京）