Primitive of Faltung Type Volterra Integro-Differential Equation of First Kind Using Elzaki Transform
- August 31, 2020
- Posted by: RSIS Team
- Categories: Engineering, IJRIAS
International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue IV, July 2020 | ISSN 2454-6194
Sudhanshu Aggarwal1*, Aakansha Vyas2, Swarg Deep Sharma3
1Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
2Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India
3Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra-841205, Bihar, India.
Abstract: Volterra integro-differential equations appear in different branches of engineering, physics, astronomy, biology, radiology and having many useful applications such as process of glass forming, diffusion process, heat and mass transfer, growth of cells and describing the motion of satellite. In this paper, authors determine the primitive of faltung type Volterra integro-differential equation of first kind using Elzaki transform. Four numerical problems have been considered and solved using Elzaki transform for explaining the applicability of present method. Results of numerical problems show that Elzaki transform is very effective integral transform for determining the primitive of faltung type Volterra integro-differential equation of first kind.
Keywords: Volterra integro-differential equation; Elzaki transform; Faltung; Inverse Elzaki transform.
