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Numerical solution of singular boundary value problems using Green's function and Sinc-Collocation method
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DOI：10.1016/j.jksus.2020.07.018.png)
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Abstract
En 中文
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. (C) 2020 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.
Keywords:
Nonhomogeneous singular boundary value problems
Lane-Emden type equations
Green's function
Integral equations
Sinc-Collocation method
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