DOIONLINE

DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-9100

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International Journal of Management and Applied Science (IJMAS)-IJMAS
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Volume Issue
Issue
Volume-3,Issue-4  ( Apr, 2017 )
Paper Title
Numerical Solution of Volterra Integro-Differential Equations using Fifth Order Improved Runge-Kutta Method
Author Name
Faranak Rabiei, Nafsiah Md Lazim, Fatin Ab Hamid, M. M. Rashidi
Affilition
Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Upm Serdang, Selangor, Malaysia Department of Mathematics, Faculty of science, Universiti Putra Malaysia, 43400 Upm Serdang, Selangor, Malaysia School of Civil Engineering, University of Birmingham, Birmingham, United Kingdom
Pages
104-107
Abstract
In this paper, we considered the numerical solution of Volterra Integro-differential equations of second kind by using Improved Runge-Kutta method of order five. In order to solve the integral part, familiar numerical integration methods such as Simpson Method I, Simpson Method II and Lagrange interpolation polynomial are used. Numerical examples are tested to illustrate the efficiency of method Keywords- Volterra Integro-Differential Equation; Improved Runge-Kutta Method; Simpson Method I; Simpson Method II ; Lagrange Interpolation Polynomial
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