Affiliations: [a] School of Science, Xihua University, Chengdu, Sichuan, China | [b] School of Science, Southwest Petroleum University, Chengdu, Sichuan, China
Correspondence:
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Corresponding author: Xiaoxu Dong, School of Science, Southwest Petroleum University, Chengdu, Sichuang 610500, China. Tel.: +86 18228021140; E-mail:dongxiaoxu1028@163.com
Abstract: On the basis of the theory in similar structure of
solution of the boundary value problem for a differential equation, this
paper studies the boundary value problem of a three-region composite,
Thomson equation. Firstly, this paper obtains similar structure related to
solution of the boundary value problem of a three-region composite Thomson
equation. Secondly, this paper points out the steps and flow chart about the
algorithm for solving the boundary value problem. Finally, this paper gives
an application of the obtained steps and draws the solution curve of the
boundary value problem by executing the program on the computer. The
obtained steps mentioned in this paper are not only simple and effective to
resolve the complicated boundary value problem of a differential equation,
but also useful to acquire the analytical solution of the model of composite
reservoir.
Keywords: Boundary value problem, three-region composite Thomson equation, similar constructing method, similar kernel function, function of guide solution
