首页|Numerical solution of fourth-order BVPs by using Lidstone-collocation method
Numerical solution of fourth-order BVPs by using Lidstone-collocation method
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NSTL
Elsevier
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.(c) 2022 Elsevier Inc. All rights reserved.
Boundary value problemLidstone polynomialsPiecewise interpolationDECOMPOSITION METHODEQUATIONSODD
Moghadam, Amin Abrishami、Soheili, Ali R.、Bagherzadeh, Amir Saboor
NSTL
Elsevier
