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

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 the Primitive of Linear Second Kind Non-Homogeneous Volterra Integral Equations 

 Sudhanshu Aggarwal1*, Kavita Bhatnagar2, Arti Dua3
1Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
2Assistant Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., 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 linear second kind non-homogeneous Volterra integral equations (V.I.E.) using Taylor series method. Authors have been considered three 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 linear second kind non-homogeneous V.I.E.
Keywords: Taylor series method; Volterra integral equation; Power series.
AMS Subject Classification 2010: 45D05, 45A05, 35C10

Read More