The work was supported partially by the National Natural Science Foundation of China ( Nos: 51704040 and 51608055 ) and the Construction Project of Science and Technology of Ministry of Transport of the People's Republic of China ( No:2015318825120 ).
机构署名：
本校为第一且通讯机构
院系归属：
交通运输工程学院
摘要：
Based on the Lagrange series interpolation, the semi-analytical and direct integration method (DIM) for solving the multi-dimensional partial differential equations are presented in this paper. A multidimensional problem can be simplified to a set of the ordinary differential equation by the mapping technique and Lagrange series interpolation (dimension reduction). The semi-analytical and numerical solutions by DIM are derived for the partial differential equation with variable coefficients. Comparisons with analytical solutions are performed in or...
