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The Expansion Al-Zughair transformation and its devloper of it to solve Linear ordinary differential equations with constant coefficients | ||
| Journal of University of Anbar for Pure Science | ||
| Volume 19, Issue 1 - Serial Number 19, May and June 2025, Pages 291-298 PDF (733.12 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2024.151357.1283 | ||
| Authors | ||
| Ali Hassan Mohammed* 1; Zainab Nasir Abdul Razzaq2 | ||
| 1Mathematics Department, Education for Women Faculty, Kufa University, Najaf, Iraq | ||
| 2Department of Mathematics, Faculty of Education for Women, University of Kufa , Kufa, Iraq; | ||
| Abstract | ||
| A fundamental component of applied mathematics are differential equations with constant coefficients. Both complicated and physical systems may be well described using it. New transformations have surfaced recently that help to simplify these equations, make them easier to solve, and cut down on computing complexity. These advancements help researchers and engineers be better equipped to handle the difficulties of complicated dynamic systems. In this research, we use the expansion Al-Zughair and Zainab Al-Zughair transforms to discover the solution to Linear Ordinary Differential Equations (L.O.D.Es) with constant coefficients according to certain initial conditions. We investigate the use of these transformations, which increase the power of conventional techniques, in solving linear systems and differential equations. It is shown how well the Zainab Al-Zughair and Expansion Al-Zughair transforms work to solve n-th order linear systems of (L.O.D.Es) with constant coefficients. And initial circumstances are easily handled, the equations are made more straightforward, computational complexity is decreased, the solution process is sped up, and a deeper understanding of the behavior of dynamic systems is gained. | ||
| Keywords | ||
| A fundamental component of applied mathematics; are differential equations with; constant coefficients. Both complicated and; physical systems | ||
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