An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

S. Kheybari and M.T. Darvishi

Applied Mathematics and Computation, 2018, vol. 336, issue C, 76-93

Abstract: A new semi-analytical algorithm is presented to solve general multi-point boundary value problems. This method can be applied on nth order linear, nonlinear, singular and nonsingular multi-point boundary value problems. Mathematical base of the method is presented; convergence of the method is proved. Also, the algorithm is applied to solve multi-point boundary value problems including nonlinear sixth-order, nonlinear singular second-order five-point boundary value problems, and a singularly perturbed boundary value problem. Comparison results show that the new method works more accurate than the other methods.

Keywords: Multi-point boundary value problem; Reproducing kernel Hilbert space method; Residual function; Collocation method; Least squares method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:336:y:2018:i:c:p:76-93

DOI: 10.1016/j.amc.2018.04.074

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