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M. H. Jia, S. C. Li. The formal similarity of solutions in the Laplace space on the class of fluid flow differential equation. Journal of Electronic Science and Technology of China, 2005, 3(2): 172-174.

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• 标题: 一类Thomson方程边值问题解的相似构造法 Similar Constructive Method of Solution for a Class of Boundary Value Problem of Thomson Equation

  作者: 范聪银, 李顺初, 许东旭

  关键字: 边值问题, Thomson方程, 相似构造法, 相似核函数, 引解函数 Boundary Value Problem; Thomson Equation; Similar Constructive Method; Similar Kernel Function; Function of Guide Solution

  期刊名称: 《Advances in Applied Mathematics》, Vol.1 No.2, 2012-11-28

  摘要: 针对Thomson方程的一类边值问题的解式进行研究，发现其解式可由相似核函数和非齐次左边值条件中的系数进行组装得到，而相似核函数由引解函数以及齐次右边值条件中的系数来构造，由此获得了求解该类边值问题的一种新方法——相似构造法。 Aiming at the solution for a class of boundary value problem of Thomson equation, we found that its solution can be obtained by structuring similar kernel function with the coefficients of non-homogeneous left boundary condition. While the similar kernel function is constructed by both the function of guide solution and the coefficients of homogeneous right boundary condition. Thus, a new method of solving such kind of boundary value problem is obtained—Similar Constructive Method.