This study is the construction of the Green’s function and Sinc function for a class of nonhomogeneous singular boundary value problems (SBVPs). The equivalent Volterra-Fredholm integral equations can be derived from SBVPs by applying Green’s function. This can be approximated by Sinc-Collocation method. Convergence analysis is given. Our approach applied on three various examples. Errors in the solution are demonstrated in the tables. We conclude that our approach converge rapidly with the exponential order.

中文翻译：

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利用格林函数和辛克重合方法数值求解奇异边值问题

这项研究是针对一类非齐次奇异边值问题（SBVP）的格林函数和Sinc函数的构造。等效的Volterra-Fredholm积分方程可以通过应用格林函数从SBVP推导。这可以通过Sinc-Collocation方法来近似。给出了收敛性分析。我们的方法适用于三个示例。表中显示了解决方案中的错误。我们得出结论，我们的方法以指数级快速收敛。