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

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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

Mathematics Subject Classification:

Mathematics
  • Pages: 655-661
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Najmuddin Ahmad, and Balmukund Singh. “Numerical Accuracy of Errors in Volterra Integral Equation by Using Quadrature Methods”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 655-61, https://www.malayajournal.org/index.php/mjm/article/view/1105.