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Numerical solution of singular boundary value problems using Green’s function and Sinc-Collocation method

机译:绿色函数与SINC-CLOLOCAL方法的奇异边值问题数值解

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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.
机译:本研究是对一类非均匀奇异边值问题(SBVPS)的绿色功能和真官功能的构建。通过应用绿色的功能,可以从SBVPS导出等效的Volterra-Fredholm积分方程。这可以通过SINC-COLLOCATION方法来近似。给出收敛分析。我们的方法适用于三个各种例子。在表中展示了解决方案中的错误。我们得出结论,我们的方法通过指数阶迅速收敛。

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