An Enhanced Analytical Framework for the Solution of Partial Differential Equations

Authors

  • Ali Falah Thi - Qar University , College of Education for pure Science, Department of Mathematics ,Thi - Qar , Iraq
  • Mohammed Taimah Yasser 2 Department of Mathematics, College of Education for Pure Science, University of Thi-Qar, Nasiriyah, Iraq
  • Mountassir Hamdi Cherif Laboratory of Complex Systems, Higher School of Electrical and Energetic Engineering ol Oran (ESGEE-Oran), Oran, 31000, Algeria

DOI:

https://doi.org/10.32792/jeps.v16i2.921

Keywords:

Yasser Jassim Transform, Partial Differential Equations, Daftardar Jafari Method, Hussein Jassim Method, Analytical Scheme.

Abstract

This research employed the Yasser Jassim (YJ) Transform in conjunction with the Dafter Jafari Method (DJM) and the Hussein Jassim Method (HJM) to address partial differential equations, deriving two relations and subsequently analysing examples of both linear and nonlinear equations. The results indicated that the combination of the transform and the approaches significantly simplifies the resolution of partial differential equations and yields identical outcomes to those obtained through direct integration.

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Published

2026-06-01

Issue

Vol. 16 No. 2 (2026): JOURNAL OF EDUCATION FOR PURE SCIENCE

Section

Articles

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