Affiliation:
1. Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia
Abstract
The present manuscript proposes a computational approach to efficiently tackle a class of two-point boundary value problems that features third-order nonlinear ordinary differential equations. Specifically, this approach is based upon a combination of the shooting method with a modification of the renowned Adomian decomposition method. The approach starts by transforming the governing BVP into two appropriate initial-value problems, and thereafter, solves the resulting IVPs recurrently. In addition, the application of this method to varied test models remains feasible—of course, this is supported by the competing Runge–Kutta method, among others, and reported through comparison plots and tables.
Reference39 articles.
1. Numerical solution of third order boundary value problems using one-step hybrid block method;Abdelrahim;Ain Shams Eng. J.,2019
2. Keller, H.B. (1976). Numerical Solution of Two-Point Boundary Value Problems, Society for Industrial and Applied Mathematics.
3. Multiple shooting method for two-point boundary value problems;Morrison;Commun. ACM,1962
4. Abu Shanab, S.J. (2017). Numerical Methods for Solving Third Order Two-Point Boundary Value Problems. [Ph.D. Thesis, An-Najah National University].
5. Shooting method via Taylor series for solving two-point boundary value problem on an infinite interval;Oderinu;Gen. Math. Notes,2014