International Journal of Neutrosophic Science
IJNS
2690-6805
2692-6148
10.54216/IJNS
https://www.americaspg.com/journals/show/3151
2020
2020
Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations
Faculty of Education and Arts, Mathematics Section, Sohar University,Sohar 3111, Sultanat of Oman; Jadara University Research Center, Jadara University, Jordan
Nidal
Nidal
Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, Jordan
Osama
Oqilat
Department of Mathematics, Al-Qunfudhah University College, Umm Al-Qura University, Mecca, Saudi Arbia
Adel
Almalki
Department General Education, Faculty of Resilience, Rabdan Academy, Abu Dhabi 22401, United Arab Emirates
Irianto
Irianto
Applied Science Private University, Amman, Jordan
Saad
Meqdad
Faculty of Education and Arts, Mathematics Section, Sohar University,Sohar 3111, Sultanat of Oman
Ala
Amourah
This paper presents a modified homotopy perturbation method (HPM), which aimed at solving systems of ordinary differential equations (ODEs). The MHPM, which combines the HPM, Laplace transform, and Padé approximants, offers an alternative approach to address the challenges associated with solving such problems. By employing this method, it becomes feasible to overcome these challenges and obtain a dependable approximation for the exact solution. The effectiveness and applicability of the proposed scheme are demonstrated through preliminary results derived from illustrative examples, all of which correspond to exact solutions.
2025
2025
165
175
10.54216/IJNS.250214
https://www.americaspg.com/articleinfo/21/show/3151