supported by the National Natural Science Foundation of China(Grant No.11861047);by the Natural Science Foundation of Jiangxi Province for Distinguished Young Scientists(Grant No.20212ACB211006);by the Natural Science Foundation of Jiangxi Province(Grant No.20202BABL 201005).
Du Fort-Frankel finite difference method(FDM)was firstly proposed for linear diffusion equations with periodic boundary conditions by Du Fort and Frankel in 1953.It is an explicit and unconditionally von Neumann stabl...