Document Type : Research Paper

Authors

• Zainab Rustam
• Nejmaddin Sulaiman

Department of Mathematics, College of Education, Salahaddin University-Erbil, Kurdistan Region, Iraq

Abstract

Many advanced problems in science and engineering can represent mathematically in the form of linear Volterra integro-differential equations or their system. In this paper, we present the solution of the linear system of Volterra integro-differential equations of the second kind by Kamal transform. Some numerical problems have been given and solved by Kamal transform for illustrating the applicability of the Kamal transform. Results of numerical problems assert that the Kamal transform is very effective for obtaining the exact solution of the linear system of Volterra integro-differential equations of the second kind.

Keywords

• Volterra Integro-Differential Equation
• Kamal Transform
• Convolution
• Inverse Kamal Transform