Open AccessNumerical Solution of Volterra Integro–Differential Equation Using 6th Order Runge-Kutta Method
Author(s) -
Abbas Al-Shimmary,
Amina Kassim Hussain,
Sajeda Kareem Radhi
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012183
Subject(s) - runge–kutta methods , mathematics , lagrange polynomial , integro differential equation , interpolation (computer graphics) , differential equation , volterra integral equation , numerical analysis , order of accuracy , matlab , mathematical analysis , order (exchange) , integral equation , riccati equation , method of characteristics , computer science , polynomial , physics , motion (physics) , classical mechanics , finance , economics , operating system
In this paper, a 6 th order Runge-Kutta with seven stages method for finding the numerical solution of Volterra integro-differential equation is considered. The integral term in the Volterra integro-differential equation approximated using the Lagrange interpolation numerical method is discussed. Some illustrative examples are presented to illustrate the accuracy and efficiency of the method and the results are compared with the 5 th order Runge-Kutta-Fehlberg and the Improved Runge-Kutta of the 5 th order method, Tables and Figures are provided to demonstrate the validity and applicability of the method as well as the approximate accuracy of results. All numerical calculations in this paper have been carried out with MATLAB.