https://ijojournals.com/index.php/m <p><strong>IJO Journal of Mathematics</strong> is an international journal devoted to research concerning all aspects of mathematics. The Journal’s policy is to motivate authors to publish research papers that represent significant contributions, and which are of broad interests to the fields of pure and applied mathematics. <strong>IJO Journal of Mathematics&nbsp;</strong>journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics etc.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p> en-US <p>Author(s) and co-author(s)&nbsp;jointly&nbsp;and severally represent and warrant that the Article is original with the author(s) and does not infringe any&nbsp;copyright or violate any other right of any third parties and that the Article has not been published&nbsp;elsewhere.&nbsp;Author(s) agree to the terms that the <strong>IJO Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> info@ijojournals.com (Rahul Khan) editor@ijojournals.com (Aasik Hussain) Fri, 31 Jul 2026 08:34:49 +0000 OJS 3.1.1.4 http://blogs.law.harvard.edu/tech/rss 60 https://ijojournals.com/index.php/m/article/view/1331 <p>This study presents the thermal analysis of a magnetohydrodynamic combustible third-grade fluid flowing through a Darcy porous channel that is vertically positioned and subjected to the combined effect of Darcy Forchheimer inertia, non-linear thermal radiation and non-uniform internal heat generation/absorption. The fluid layer in contact with the channel walls is subjected to asymmetric slip conditions and constant temperature boundaries. The coupled non-linear system of ordinary differential equations arising from the phenomena are subjected to the procedure of nondimensionalization. The resulting dimensionless equations are then solved numerically by Two-Point Taylor Polynomial Iterative Linearization Technique with Legendre nodes (TTPILT). The methodology associated with the numerical approach begins with the linearization of non-linear terms in the governing equations, followed by the application of the Legendre nodes collocation technique to iteratively obtain solutions. The iterative process continues until convergence to the desired solution is achieved. The accuracy of the method is validated by comparing the obtained results with those generated using the spectral Chebyshev collocation method, which shows good agreement. Graphical illustrations of the fluid velocity and temperature profiles are provided and discussed. The findings on flow characteristics and thermal behavior have significant implications for the design and optimization of thermodynamic systems. In particular, the thermal analysis offers valuable insights for developing energy-efficient systems with optimal performance.</p> Henry Blessing Egbeyemi, Razak Adekola Oderinu, Saheed Alao, Ahmed Adeyi Yahaya, Samson Adekunle AJIBADE, Racheal Bosede Ayoola, Temiloluwa Oyeyemi Adewoye ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc-nd/4.0/ https://ijojournals.com/index.php/m/article/view/1331 Fri, 31 Jul 2026 08:34:21 +0000