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A novel schedule for solving the two-dimensional diffusion problem in fractal heat transfer

Xu Shu (Nanjing University of Technology, School of Mechanical and Power Engineering, Nanjing, China + Jiangsu Province R&D Institute of Marine Resource, Lianyungang, China)
Ling Xiang (Nanjing University of Technology, School of Mechanical and Power Engineering, Nanjing, China)
Zhao Yang (Jiangmen Polytechnic, Department of Electronic and Information Technology, Jiangmen, China)
Jassim Hassan Kamil (University of Mazandaran, Faculty of Mathematical Sciences, Department of Mathematics, Babolsar, Iran + University of Thi-Qar, Faculty of Education for Pure Sciences, Department of Mathematics, Nasiryah, Iraq)

In this work, the local fractional variational iteration method is employed to obtain approximate analytical solution of the two-dimensional diffusion equation in fractal heat transfer with help of local fractional derivative and integral operators.

Keywords: variational iteration method, diffusion equation, fractal heat transfer, local fractional derivative