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

作者：

Highlights：

• The two-dimensional extended differential transform via local fractional derivative is first proposed.

• The theorems of the two-dimensional extended differential transform method are proved.

• The numerical solution for the local fractional diffusion equation is considered.

• The chart of the solution with non-differentiable terms is illustrated.

摘要

•The two-dimensional extended differential transform via local fractional derivative is first proposed.•The theorems of the two-dimensional extended differential transform method are proved.•The numerical solution for the local fractional diffusion equation is considered.•The chart of the solution with non-differentiable terms is illustrated.

论文关键词：Numerical solution,Extended differential transform method,Diffusion equation,Local fractional derivatives,Partial differential equations

论文评审过程：Received 13 March 2015, Revised 3 October 2015, Accepted 26 October 2015, Available online 5 December 2015, Version of Record 5 December 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.10.072