Numerical accuracy of errors in Volterra integral equation by using quadrature methods

Najmuddin Ahmad 1* and Balmukund Singh 2

doi:10.26637/MJM0901/0114

Numerical accuracy of errors in Volterra integral equation by using quadrature methods

Authors :

Najmuddin Ahmad^1* and Balmukund Singh ²

Author Address :

^1,2 Department of Mathematics, Integral University, Lucknow, India.

*Corresponding author.

Abstract :

In this paper, we introduce new approaches of numerical solution and accuracy of Volterra integral equation of second kinds by Quadrarture method. some error estimates for the quadrature method in solving a class of Volterra integral equations are established. All calculation is calculated in MATLAB 13 versions. Numerical examples are given to show error analysis for Volterra integral equation of second kinds. Our results show that error analysis is simple and effective for the numerical solution of integral equation.

Keywords :

Volterra integral equation, Trapezoidal rule, Simpson’s rule, Weddle’s rule.

DOI :

10.26637/MJM0901/0114

Article Info :

Received : December 24, 2020; Accepted : February 14, 2021.