<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The purpose of this work is to propose a new efficient initial guess algorithm rather than the conventional Newton method to meet the adjoint terminal conditions, rapidly. Thus, the focus of this paper is to use better algorithms for obtaining refined initial guesses with shooting method to solve the coupled boundary value problems. The boundary value problem is formulated as a system of equations i.e. initial value problems with one unknown initial condition. The efficiency and accuracy of the Shooting method is enhanced by improving the initial guess and then solving the problem iteratively.</p>
</abstract>

The purpose of this work is to propose a new efficient initial guess algorithm rather than the conventional Newton method to meet the adjoint terminal conditions, rapidly. Thus, the focus of this paper is to use better algorithms for obtaining refined initial guesses with shooting method to solve the coupled boundary value problems. The boundary value problem is formulated as a system of equations i.e. initial value problems with one unknown initial condition. The efficiency and accuracy of the Shooting method is enhanced by improving the initial guess and then solving the problem iteratively.

Solving coupled non-linear higher order BVPs using improved shooting method

Department of Computer Science and Mathematics

Department of Mathematics, Mathematics Research Center

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Solving coupled non-linear higher order BVPs using improved shooting method"}

The purpose of this work is to propose a new efficient initial guess algorithm rather than the conventional Newton method to meet the adjoint terminal...

Solving coupled non-linear higher order BVPs using improved shooting method

Article Category: Original Study

Published Online: Jan 10, 2024

Page range: 165 - 178

Received: Jun 10, 2023

Accepted: Sep 03, 2023

DOI: https://doi.org/10.2478/ijmce-2024-0013

Keywords
Shooting method, coupled non-linear BVPs, RK-4 method

© 2024 Shumaila Javeed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Solving coupled non-linear higher order BVPs using improved shooting method

Article Category: Original Study

Published Online: Jan 10, 2024

Page range: 165 - 178

Received: Jun 10, 2023

Accepted: Sep 03, 2023

DOI: https://doi.org/10.2478/ijmce-2024-0013

KeywordsShooting method, coupled non-linear BVPs, RK-4 method

© 2024 Shumaila Javeed et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Shooting method, coupled non-linear BVPs, RK-4 method