On extrapolatory mixed quadrature rule for approximate evaluation of real definite integrals

Authors

  • Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Odisha, Bhubaneswar-751024.
  • Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Odisha, Bhubaneswar-751024
  • Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Odisha, Bhubaneswar-751024
  • Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Odisha, Bhubaneswar-751024

Abstract

This study employs Richardson extrapolation on mixed quadrature rule which is imbraided by Lobatto-4-point rule $(R_{L4}(f))$ with Gauss-Legendre-3-point rule $(R_{GL3}(f))$ to form the extrapolatory quadrature rule $(R_{RL4GL3} (f))$ of precision nine. The current rule is numerically verified with six test problems and the bound for the error is resolved with suitable examples.

Published

02/25/2024