Conference Paper

Useful Ideas on the Numerical Techniques Used for the Solution of the Two-Point Boundary Value Problems of Ordinary Differential Equations

Volume: 22 September 1, 2023
  • Mohammad H. Al-towaıq
EN

Useful Ideas on the Numerical Techniques Used for the Solution of the Two-Point Boundary Value Problems of Ordinary Differential Equations

Abstract

In this paper, we give a preview of some numerical techniques used for the solution of the two-point boundary value problems of ordinary differential equations. We discuss the difficulties one faces in using them, which need further investigation, and we suggest some ideas to overcome these difficulties.

Keywords

References

  1. Adam, B., & Hashim, M. H. (2014). Shooting method in solving boundary value problem, International Journal of Research and Reviews in Applied Sciences 21.1, 8-30.
  2. Ahmad, N., & Charan, S. (2019). A comparative study of numerical solutions of second order ordinary differential equations with boundary value problems by shooting method & finite difference method. Numerical Solution of Integral Equation, 4 (1), 18-22.
  3. Al-Towaiq, M., & Abu-Hour, Y. (2017). Two improved classes of Broyden' methods for solving nonlinear systems of equations. Journal of Mathematics and Computer Science, 17, 22-31.
  4. Al-Towaiq, M., & Abu-Hour, Y. (2016). Two improved methods based on Broyden's Newton methods for the solution of nonlinear systems of equations. Journal of Engineering and Applied Sciences, 11(11), 2344-2348.
  5. Al-Towaiq, M., Ababnah, A., & Al-Shwayyat, S. (2018). An efficient approach for Solving Fisher’s equation using radial basis-collocation technique. Proceedings of 161st The IIE International Conference, Barcelona, Spain.

Details

Primary Language

English

Subjects

Statistics (Other)

Journal Section

Conference Paper

Authors

Mohammad H. Al-towaıq This is me
Jordan

Early Pub Date

August 15, 2023

Publication Date

September 1, 2023

Submission Date

June 27, 2023

Acceptance Date

July 28, 2023

Published in Issue

Year 2023 Volume: 22

APA
Al-towaıq, M. H. (2023). Useful Ideas on the Numerical Techniques Used for the Solution of the Two-Point Boundary Value Problems of Ordinary Differential Equations. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 22, 171-175. https://doi.org/10.55549/epstem.1343286