Solving Multi-Point Boundary Value Problems Using Sinc-Derivative Interpolation

Kenzu Abdella and Jeet Trivedi
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Kenzu Abdella: Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
Jeet Trivedi: Department of Mathematics, Western University, London, ON N6A 5B7, Canada

Mathematics, 2020, vol. 8, issue 12, 1-14

Abstract: In this paper, the Sinc-derivative collocation method is used to solve linear and nonlinear multi-point boundary value problems. This is done by interpolating the first derivative of the unknown variable via Sinc numerical methods and obtaining the desired solution through numerical integration of the interpolation and all higher order derivatives through successive differentiation of the interpolation. Non-homogeneous boundary conditions are reduced to homogeneous using suitable transformations. The efficiency and the accuracy of the method are tested using illustrative examples previously considered by other researchers who used different approaches. The results show the excellent performance of the Sinc-derivative collocation method.

Keywords: multi-point boundary value problems; sinc-collocation; sinc-derivative; numerical methods; differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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