El-Zaki Transform Method for Solving Applications of Some Integral Differential Equations

Authors

  • Abeer M. Al-Bugami Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box, 11099, Taif, 21944, Saudi Arabia
  • Nuha Alharbi Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box, 11099, Taif, 21944, Saudi Arabia
  • Amr Mahdy Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box, 11099, Taif, 21944, Saudi Arabia https://orcid.org/0000-0003-2218-5408

DOI:

https://doi.org/10.37256/cm.6220255326

Keywords:

volterra integral equation, El-Zaki transformation method, blood glucose concentration electrical engineering, Abel's integral equation

Abstract

Integral equations have close contact with many different science and engineering problems, such as contact problems in the theory of elasticity, potential theory, fluid mechanics, quantum mechanics, healthcare, and others. So, in this presentation, we will study the following models: determining the blood glucose concentration by using Volterra integral equations. Integral equations are used in electrical engineering applications. Abel's integral equation has applications in a variety of scientific domains, including plasma diagnostics, radio astronomy, and optical fibre evaluation. This is an ancient example of an integral equation. The El-Zaki transformation method is used to solve three models and compare the exact and approximate results. The findings are calculated using Maple 18.

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Published

2025-03-13

How to Cite

1.
M. Al-Bugami A, Alharbi N, Mahdy A. El-Zaki Transform Method for Solving Applications of Some Integral Differential Equations. Contemp. Math. [Internet]. 2025 Mar. 13 [cited 2025 Apr. 2];6(2):1693-714. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5326