Work

On the Numerical Solution of Linear and Non-Linear Dirichlet Boundary Value Problems of Ordinary Differential Equations: The Shooting Method

Year: 2024

Type: article

Abstract: In this article, a numerical technique called shooting which entails the solution of initial value problems with the single-step fourth-order RungeKutta method together with the iterative root finding secant method is formulated for use on both linear and non-linear boundary value problems of ordinary differential equations with Dirichlet boundary conditions. Two examples are illustrated. One, the solution of the linear case with its analytic counterpart is compared, and two, the non-linear case. Graphical outputs of the solutions from two MATHEMATICA codes are presented.

Source: European Journal of Mathematics and Statistics

DOI: 10.24018/ejmath.2024.5.5.96

Authors: Benard Audi Odongo, Richard Otieno Opiyo, Dancun Okeso Owego, Thomas Mboya Onyango

Institutions: Technical University of Kenya, Maseno University

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403552557

FWCI: 0.79

Cites:

Cited by: 2

Related to: 10