TY  - JOUR
T1  - Useful Ideas on the Numerical Techniques Used for the Solution of the Two-Point Boundary Value Problems of Ordinary Differential Equations
AU  - Al-towaıq, Mohammad H.
PY  - 2023
DA  - September
DO  - 10.55549/epstem.1343286
JF  - The Eurasia Proceedings of Science Technology Engineering and Mathematics
JO  - EPSTEM
PB  - ISRES Publishing
WT  - DergiPark
SN  - 2602-3199
SP  - 171
EP  - 175
VL  - 22
LA  - en
AB  - 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.
KW  - Ordinary differential equations
KW  - Two-point boundary
KW  - Value problem
CR  - 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.
CR  - 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.
CR  - 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.
CR  - 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.
CR  - 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.
UR  - https://doi.org/10.55549/epstem.1343286
L1  - https://dergipark.org.tr/en/download/article-file/3332868
ER  -