A new method for solving a class of mixed boundary value problems with singular coefficient

作者：Wang, Y. L.^*; Li, Z. Y.; Cao, Y.; Wan, X. H.

来源：Applied Mathematics and Computation, 2010, 217(6): 2768-2772.

DOI：10.1016/j.amc.2010.08.011

• Adjoint operator
• Mixed boundary value problems
• Reproducing kernel
• Analytical solution
• Singular coefficient

In [1-7], it is very difficult to deal with initial boundary value conditions. In this paper, we give a new method to deal with boundary value conditions, the main contribution of this paper is to put mixed boundary value conditions into reproducing kernel Hilbert space. The numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate the method is simple and effective.

• 出版日期2010-11-15
• 单位内蒙古工业大学