Numerical solution of fourth-order BVPs by using Lidstone-collocation method

Amin Abrishami Moghadam, Ali R. Soheili and Amir Saboor Bagherzadeh

Applied Mathematics and Computation, 2022, vol. 425, issue C

Abstract: In this paper, a new method for solving fourth-order BVPs is presented. The method is based on the first type Lidstone interpolating function. One of the greatest features of the Lidstone interpolating function is that, it can be extended to a piecewise function. Therefore, this extension led us construct piecewise Lidstone interpolating functions on the subintervals and subsequently on the collocation points to have better accuracy. We have fully discussed the method and the whole process in full details to obtain a large system of algebraic equations. The system includes numerical approximation of the problems at the collocation points. From the aspect of error estimation, we have obtained the local truncation errors of the equations and finally presented the comparisons of our approach with the other methods.

Keywords: Boundary value problem; Lidstone polynomials; Piecewise interpolation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001412

DOI: 10.1016/j.amc.2022.127055

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