A comparative study of numerical integration based on mixed quadrature rule and Haar wavelets ∗

Saumya Ranjan  Jena; Damayanti Nayak

doi:10.48165/

Authors

Saumya Ranjan Jena Department of Mathematics, School of Applied Sciences, KIIT DT University, Bhubaneswar - 751024, Odisha, India.
Damayanti Nayak Department of Mathematics, School of Applied Sciences, KIIT DT University, Bhubaneswar - 751024, Odisha, India.

DOI:

https://doi.org/10.48165/

Keywords:

Numerical integration, Mixed quadrature, Haar wavelets, Maclaurin’s theorem, Degree of precision

Abstract

This note deals with the problem of determining the approximate solution of real definite integrals. Approximating the solution of given real definite integrals here is done by means of mixed quadrature rule which is then compared with the Haar wavelets for single, double and improper integrals. The main advantage of the proposed numerical integration method over Haar wavelets is its efficiency, lesser functional evaluation and simple applicability. Some numerical examples are provided to illustrate the accuracy and relative error of the proposed rule.

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