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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference52 articles.
1. Nonlocal boundary value problem of the first kind for a Sturm–Liouville operator in its differential and finite difference aspects;Il’in;Differ. Equ.,1987
2. Nonlocal boundary value problem of the second kind for a Sturm–Liouville operator;Il’in;Differ. Equ.,1987
3. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
4. A survey on nonlocal boundary value problems;Ma;Appl. Math. E-Notes,2007
5. Multi-point boundary value problem for optimal bridge design
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