Applying Pourreza Transform to Solve Volterra Integro-Differential Equations of the  Kind

Amal M Wadi; Nejmaddin A Sulaiman

doi:10.23918/eajse.v11i2p18

Authors

Amal M Wadi Department of Mathematics, Education College, Salahaddin University-Erbil, Iraq. https://orcid.org/0009-0008-9150-8315
Nejmaddin A Sulaiman Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq https://orcid.org/0000-0002-3307-9451

DOI:

https://doi.org/10.23918/eajse.v11i2p18

Keywords:

Convolution, Inverse Pourreza Transform, Pourreza Transform, Volterra Integro-Differential Equation

Abstract

This paper's primary goal is to investigate and resolve the linear Volterra integro-differential equations of kind with a convolution kernel. Here we present the HY transform called the P https://orcid.org/0000-0002-3307-9451ourreza transform for determining the resolution of the linear Volterra integro-differential equation of the kind. One can represent in integral form a variety of subjects, including electromagnetic, radio physics, coagulation, meteorology, and population dynamics: biotechnology, radiation transfer, superfluidity, mining engineering, and acoustic engineering. The Pourreza transform has been applied to address several numerical problems; it can be converted into algebraic equations and solved in a few steps, demonstrating its versatility. Numerical problem results show how successful the Pourreza transform is in getting the accurate solution of the linear Volterra integro-differential equation of kind.

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