A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral

  • K. MEMON
  • M. M. SHAIKH
  • M. S. CHANDIO
  • A. W. SHAIKH
Keywords: Quadrature rule, Riemann-Stieltjes integral, Trapezoidal rule

Abstract

In this research paper, a new efficient midpoint derivative-based quadrature scheme of trapezoid-type is developed for the approximation of the Riemann-Stieltjes integral. The proposed quadrature scheme is an efficient modification of Zhao etal. midpoint derivative-based scheme for the Riemann-Stieltjes integral. The performance of proposed scheme, Zhao etal. scheme and the original Trapezoid scheme for the Riemann-Stieltjesintegral are compared using MATLAB. Ithas been noticed that the numerical error is smaller using proposed scheme in comparison to other schemes.

Published
2020-03-17