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International Journal of Neutrosophic Science

Volume 25 , Issue 2 , PP: 165-175, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations

Nidal Anakira 1 * , Osama Oqilat 2 , Adel Almalki 3 , Irianto Irianto 4 , Saad Meqdad 5 , Ala Amourah 6

  • 1 Faculty of Education and Arts, Mathematics Section, Sohar University,Sohar 3111, Sultanat of Oman; Jadara University Research Center, Jadara University, Jordan - (nanakira@su.edu.om)
  • 2 Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, Jordan - (o.oqilat@ammanu.edu.jo)
  • 3 Department of Mathematics, Al-Qunfudhah University College, Umm Al-Qura University, Mecca, Saudi Arbia - (aaamalki@uqu.edu.sa)
  • 4 Department General Education, Faculty of Resilience, Rabdan Academy, Abu Dhabi 22401, United Arab Emirates - (iharny@ra.ac.ae)
  • 5 Applied Science Private University, Amman, Jordan - (s_meq75@yahoo.com)
  • 6 Faculty of Education and Arts, Mathematics Section, Sohar University,Sohar 3111, Sultanat of Oman - (AAmourah@su.edu.om)

    • Doi: https://doi.org/10.54216/IJNS.250214

    Received: February 12, 2024 Revised: April 30, 2024 Accepted: August 04, 2024
    Abstract

    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.

    Keywords :

    Numerical Approximation , HPM , MHPM , Laplace transformation , Padé , approximants

    References

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    Cite This Article As :
    Anakira, Nidal. , Oqilat, Osama. , Almalki, Adel. , Irianto, Irianto. , Meqdad, Saad. , Amourah, Ala. Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 165-175. DOI: https://doi.org/10.54216/IJNS.250214
    Anakira, N. Oqilat, O. Almalki, A. Irianto, I. Meqdad, S. Amourah, A. (2025). Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations. International Journal of Neutrosophic Science, (), 165-175. DOI: https://doi.org/10.54216/IJNS.250214
    Anakira, Nidal. Oqilat, Osama. Almalki, Adel. Irianto, Irianto. Meqdad, Saad. Amourah, Ala. Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations. International Journal of Neutrosophic Science , no. (2025): 165-175. DOI: https://doi.org/10.54216/IJNS.250214
    Anakira, N. , Oqilat, O. , Almalki, A. , Irianto, I. , Meqdad, S. , Amourah, A. (2025) . Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations. International Journal of Neutrosophic Science , () , 165-175 . DOI: https://doi.org/10.54216/IJNS.250214
    Anakira N. , Oqilat O. , Almalki A. , Irianto I. , Meqdad S. , Amourah A. [2025]. Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations. International Journal of Neutrosophic Science. (): 165-175. DOI: https://doi.org/10.54216/IJNS.250214
    Anakira, N. Oqilat, O. Almalki, A. Irianto, I. Meqdad, S. Amourah, A. "Numerical Proceduers for Computing the Exact Solutions to Systems of Ordinary Differential Equations," International Journal of Neutrosophic Science, vol. , no. , pp. 165-175, 2025. DOI: https://doi.org/10.54216/IJNS.250214

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