Direct integrators of modified multistep method for the solution of third order boundary value problem in ordinary differential equations

16th International Conference of Students and Young Scientists "Prospects of Fundamental Sciences Development"

自然科学（总论）

Mohammed, U.^1 ; Semenov, M.^2 ; Ma'Ali, A.I.^3 ; Abubakar, A.^3 ; Abdullah, H.^1

Federal University of Technology, Minna, Nigeria^1

National Research Tomsk Polytechnic University, Lenin Avenue, 30, Tomsk

634050, Russia^2

Ibrahihim Badamasi Babangida University Lapai, Niger State, Nigeria^3

关键词: Collocation approaches;    Direct solution;    Error constant;    Finite difference scheme;    Multi step methods;    Numerical experiments;    Third order;    Zero stability;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/597/1/012075/pdf
DOI  :  10.1088/1757-899X/597/1/012075

学科分类：自然科学（综合）

来源: IOP

【 摘 要 】

In this paper, we propose an efficient modified multistep method for direct solution of boundary value problems (BVPs) using multistep collocation approach. The continuous form was evaluated at grid and off-grid points to obtain the multiple finite difference schemes. The basic properties, such as order and error constants, zero stability and convergence analysis of the proposed methods were investigated. Numerical experiment were performed to show the efficiency of the method and the results were compared with the existing methods in the literature.