Numerical method for a class of singular non-linear boundary value problems using Green's functions

作者：Cen Zhongdi^*

来源：International Journal of Computer Mathematics, 2007, 84(3): 403-410.

DOI：10.1080/00207160701208509

• singular equations
• boundary value problems
• Green's function
• convergence

A numerical method based on Green's function is presented for solving a class of singular non-linear boundary value problems. By applying Green's function an equivalent integral equation, which can be solved by linear interpolation on a non-uniform mesh, can be derived from the singular non-linear boundary value problem. This equation is shown to be second-order convergent. The numerical method can be extended to more general singular boundary value problems. Numerical experiments support these theoretical results and indicate that the estimates are sharp.

• 出版日期2007
• 单位浙江万里学院