A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach

作者：Yang, Xiao-Jun^*; Tenreiro Machado, J. A.; Srivastava, H. M.

来源：Applied Mathematics and Computation, 2016, 274: 143-151.

DOI：10.1016/j.amc.2015.10.072

• Numericalsolution
• Extended differential transform method
• Diffusion equation
• Local fractional derivatives
• Partial differential equations

In this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its associated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.

• 出版日期2016-2-1
• 单位中国医科大学; 中国矿业大学（北京）