The functional mapping solution for fractional generalized disturbed thermal wave equation
HAN Xiang-lin1, ZHAO Zhen-jiang1, WANG Wei-gang2, MO Jia-qi3
1. Faculty of Science, Huzhou University, Huzhou 313000, China
2. Department of Science and Technology, Tongcheng Teachers College, Tongcheng 231402, China
3. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
Abstract A class of fractional nonlinear disturbed thermal wave equation is considered. Firstly, the solution of typical fractional disturbed thermal wave equation is obtained. Then the arbitrary order approximate analytic solutions for fractional generalized nonlinear disturbed thermal wave equation initial boundary value problem are constructed by using the method of functional analysis mapping. The physical sense of solution is stated simply. The approximate analysis solution makes up for the deficiency of the simple numerical simulation solution.
HAN Xiang-lin, ZHAO Zhen-jiang, WANG Wei-gang, MO Jia-qi. The functional mapping solution for fractional generalized disturbed thermal wave equation. Applied Mathematics A Journal of Chinese Universities, 2016, 31(1): 101-108.
