@article{ajams2013145,
author={{Xiaoxu, Dong and Shunchu, Li and Dongdong, Gui and Jun, Pu and Huichun, Li},
title={Similar Constructing Method for Solving the Boundary Value Problem of the Composite First Weber System},
journal={American Journal of Applied Mathematics and Statistics},
volume={1},
number={4},
pages={76--82},
year={2013},
url={http://pubs.sciepub.com/ajams/1/4/5},
issn={2328-7292},
abstract={In this paper, we solve a class of boundary value problems of the composite first Weber system. In the process of solving the problem, first of all, we introduce functions of guide solution. Secondly, we constructive similar kernel functions. Finally, solutions with a form of continued fraction product to boundary value problem of the composite first Weber system are obtained by assembling coefficients of the non-homogeneous left boundary condition, functions of guide solution, coefficients of two connection conditions and similar kernel functions. Then a new method is obtained for solving the composite boundary value problem-Similar Constructing Method (shortened as SCM). This method is not only simple and effective for solving the complicated boundary value problem of differential system, but also is a kind of innovative idea.},
doi={10.12691/ajams-1-4-5}
publisher={Science and Education Publishing}
}
