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All Journal YASIN: Jurnal Pendidikan dan Sosial Budaya Journal of Multidisciplinary Science: MIKAILALSYS International Journal of Education, Management, and Technology
O, Okai J.
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Education Electrical & Electronics Engineering Engineering Environmental Science Materials Science & Nanotechnology Physics Social Sciences Other

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Journal : YASIN: Jurnal Pendidikan dan Sosial Budaya

 1 
A Modified Iterative Approach for Solving Linear Fractional-Order Delay Differential Equations D, Ibrahim M.; Adamu, M. M.; Mshelia, I. B.; Cornelius, Michael; Nasir, U. M.; O, Okai J.
YASIN Vol 5 No 2 (2025): APRIL
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/yasin.v5i2.5363

Abstract

This paper explores the application of the Modified New Iterative Method (MNIM) for solving linear fractional-order delay differential equations (FDDEs). The method is assessed through illustrative example, showcasing its effectiveness in producing accurate approximations for linear case, particularly when the fractional order approaches an integer. MNIM demonstrates strong performance in solving equations of integer and near-integer fractional order. However, the accuracy declines as the fractional order moves further from an integer, especially over larger intervals. MNIM remains a powerful and adaptable method for handling a broad spectrum of fractional differential equations involving delays.
A Revised Kamal Integral Transformation Method for Solving First-Order Nonlinear Fractional Differential Equations Uba, Nura; Adamu, M. M.; Abdulhameed, M.; U, Hafsat Y.; O, Okai J.
YASIN Vol 5 No 3 (2025): JUNI
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/yasin.v5i3.5366

Abstract

This study integrates the Kamal transform method with Adomian polynomials to provide approximate analytical solutions for non-linear fractional differential equations. Since the Kamal transform alone cannot handle non-linear terms, Adomian polynomials are used to decompose these terms. The resulting solutions are compared with those from other methods applied to the same problems. The results show that the solution obtained with the Kamal transform and Adomian polynomial closely aligns with those from other methods, demonstrating the effectiveness of this combined approach. This work emphasizes the strength of the Kamal transform method and Adomian polynomials as integral transform techniques for solving non-linear equations.
Hybrid Yang Transform Method for Fractional Nonlinear Partial Differential Equations Waziri, I. M.; Manjak, N. H.; Kwami, A. M.; Adamu, M. S.; O, Okai J.
YASIN Vol 5 No 3 (2025): JUNI
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/yasin.v5i3.5382

Abstract

This work evaluates the performance of the YTAP and New Iterative Method (NIM) in approximating solutions to both linear and nonlinear partial differential equations (PDEs). Through comparative analysis involving exact solutions, numerical tables, and graphical illustrations, the results demonstrate that both methods are highly effective, with YTAP generally yielding smaller approximation errors. Specifically, in the case of a linear PDE (Example 2), YTAP exhibits superior accuracy, while NIM also performs reliably. For nonlinear PDEs (Example 3), YTAP proves to be a robust and efficient method, successfully generating recursive solutions that closely match the exact results. These findings underscore the reliability of YTAP as a powerful tool for solving a wide range of PDEs.
A Hybrid Approach of the Variational Iteration Method and Adomian Decomposition Method for Solving Fractional Integro-Differential Equations O, Okai J.; Adamu, M. S.; M., Cornelius; I., Abdulmalik; A., Jeremiah; M., Nasir U.; U., Hafsat Y.; O., Abichele; Araga, Hassan
YASIN Vol 5 No 4 (2025): AGUSTUS
Publisher : Lembaga Yasin AlSys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/yasin.v5i4.5720

Abstract

In this study, we propose a hybrid analytical technique that integrates the Adomian Decomposition Method (ADM) with the Variational Iteration Method (VIM) to solve both linear and nonlinear integro-differential equations of integer and fractional orders. This approach extends and refines the Odibat Decomposition Method (ODM) by addressing key limitations inherent in ADM and VIM—specifically, the reliance on linearization, Adomian polynomials, and Lagrange multipliers. By circumventing these computational complexities, the proposed method enables the direct and efficient construction of series solutions with improved convergence properties. The hybrid scheme is designed for broader applicability and enhanced computational simplicity, making it a powerful tool for analyzing complex integro-differential systems. Its effectiveness and robustness are demonstrated through a range of illustrative examples, confirming the method’s capability to provide accurate analytical approximations with minimal computational overhead.
Co-Authors A., Jeremiah Abdulhameed, M. Abichele, Ogboche Adamu, M. M Adamu, M. M. Adamu, M. S. Aminu, Barde Araga, Hassan B, Bivan J. Cornelius, Michael D, Ibrahim M. G, Madaki A. G, Thomas J. Hafsat, Yakubu Hina, A. D I., Abdulmalik Jeremiah, Adejoh Kwami, A. M Kwami, A. M. M. Y. Adamu M., Cornelius M., Nasir U. Madaki, A. G Madaki, A. G. Manjak, N. H. Mshelia, I. B. N, Nyikyaa M. N, Yohanna Nasir, U. M. O., Abichele Saje, A. A U, Hafsat Y. U., Hafsat Y. Uba, Nura Waziri, I. M. Yohanna, Samuel