Application of Sumudu Transform for Handling Volterra Integro-Differential Equation of First Kind with Convolution Kernel

Sudhanshu Aggarwal, Swarg Deep Sharma and Aakansha Vyas
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Sudhanshu Aggarwal: Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur. U.P., India
Swarg Deep Sharma: Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra, Bihar, India
Aakansha Vyas: Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida, U.P., India

International Journal of Research and Innovation in Applied Science, 2020, vol. 5, issue 8, 24-30

Abstract: Volterra integro-differential equations have many interesting applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. These equations generally appear in many branches of engineering, physics, biology, astronomy, radiology and statistics. In this paper, authors discussed the application of Sumudu transform for handling Volterra integro-differential equation of first kind with convolution kernel. Some numerical problems have been considered and solved with the help of Sumudu transform for explaining the complete methodology. Results of numerical problems show that Sumudu transform is very effective integral transform for handling Volterra integro-differential equation of first kind with convolution kernel.

Date: 2020
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