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All Journal Journal of Multidisciplinary Science: MIKAILALSYS Asian Journal of Science, Technology, Engineering, and Art
Madaki, A. G
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Agriculture, Biological Sciences & Forestry Arts Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Engineering Environmental Science Physics Social Sciences Other

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Enhancing the Daftardar Jafari Method for Solving the Bagley–Torvik Equation through Numerical Approaches Saje, A. A; Kwami, A. M; Madaki, A. G; O, Okai J.; Waziri, I. M.; Hafsat, Yakubu
Journal of Multidisciplinary Science: MIKAILALSYS Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v3i2.5337

Abstract

A robust algorithm is introduced in the development of the Enhanced Daftardar Jafari Method (DJM) to effectively address both linear and nonlinear Bagley–Torvik equations (BTE) and other fractional order differential equations. The method's efficacy is demonstrated through numerical examples, showcasing its ability to solve these equations without resorting to linearization or small perturbations. The results affirm the method's strength, accuracy, and simplicity in comparison to alternative approaches.
Thermal Transport Characteristics of Fractional Maxwell Fluid Model for Blood Flow in a Stenosed Artery Musa, Ali; Kwami, A. M; Madaki, A. G
Asian Journal of Science, Technology, Engineering, and Art Vol 4 No 2 (2026): Asian Journal of Science, Technology, Engineering, and Art
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/ajstea.v4i2.9188

Abstract

This study examines the unsteady heat transfer behavior of fractional Maxwell nanofluid blood flow in a stenosed artery under the combined effects of a magnetic field, thermal radiation, viscous dissipation, and internal heat generation. The study aims to provide a more realistic representation of thermal transport in pathological blood flow by incorporating fractional-order viscoelastic effects. The governing fractional energy equation is solved using a semi-analytical Laplace transform approach, while numerical inversion is carried out through the Concentrated Matrix-Exponential method. The results show excellent agreement with existing studies, confirming the validity of the proposed approach. The findings further reveal that thermal radiation, magnetic field strength, viscous dissipation, fractional order, and relaxation time increase temperature distribution, whereas higher Reynolds and Prandtl numbers reduce it. The study concludes that fractional-order modeling offers a more realistic and effective framework for analyzing thermal transport in stenosed arterial blood flow, thereby contributing to improved understanding of heat transfer behavior in pathological hemodynamic conditions.
Co-Authors Hafsat, Yakubu Kwami, A. M Musa, Ali O, Okai J. Saje, A. A Waziri, I. M.