International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue V, May 2020 | ISSN 2454-6194

Method of Taylor’s Series for Non-Linear Second Kind Non-Homogeneous Volterra Integral Equations

Sudhanshu Aggarwal1*, Swarg Deep Sharma2, Renu Chaudhary3
1Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
2Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash University Chhapra-841205, Bihar, India
3Assistant Professor, Department of Applied Science & Humanities, I.T.S. Engineering College, Greater Noida-201308, U.P., India

Abstract: Integral equations are playing an increasingly important role in obtaining the solution of many scientific and engineering problems such as determination of potentials, seismic travel time, optical fibers and system identification. In this paper, authors have solved non-linear second kind non-homogeneous Volterra integral equations (V.I.E.) using Taylor series method. Authors have been considered two numerical examples for explaining the complete methodology. Results of numerical examples show that Taylor series method is very useful and effective numerical method for handling the problem of obtaining the primitives of non-linear second kind non-homogeneous V.I.E.
Keywords: Taylor series method; Volterra integral equation; Power series.
AMS Subject Classification 2010: 45D05, 45GXX, 35C10

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