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

Mohammad H. Al-towaıq

doi:10.55549/epstem.1343286

Conference Paper

Year 2023, Volume: 22, 171 - 175, 01.09.2023

Mohammad H. Al-towaıq

https://doi.org/10.55549/epstem.1343286

Abstract

References

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.
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.
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.
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.
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.

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

Year 2023, Volume: 22, 171 - 175, 01.09.2023

Mohammad H. Al-towaıq

https://doi.org/10.55549/epstem.1343286

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

Ordinary differential equations , Two-point boundary , Value problem

References

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.
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.
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.
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.
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.

There are 5 citations in total.

Details

Primary Language	English
Subjects	Statistics (Other)
Journal Section	Articles
Authors	Mohammad H. Al-towaıq
Early Pub Date	August 15, 2023
Publication Date	September 1, 2023
Published in Issue	Year 2023 Volume: 22

Cite

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