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Research Article

Year : 2017 | Volume: 3 | Issue: 2 | Pages: 1-8

An Algorithm to find Definite Integrals

K Selvakumar1*, 2

DOI: 10.18831/djmaths.org/2017021001

Corresponding author

K Selvakumar*

Dept of Mathematics, University College of Engg, Anna University, Konam, Nagercoil-629004,Tamilnadu, India.

  • 1. Dept of Mathematics, University College of Engg, Anna University, Konam, Nagercoil-629004,Tamilnadu, India.

Received on: 2017/02/10

Revised on: 2017/04/29

Accepted on: 2017/05/10

Published on: 2017/05/19

Abstract

An algorithm to find definite single and double integrals using Trapezoidal 1 2 -rule is presented in this paper. This work will fulfill the need of easy way of calculations with less computation time (run time) and storage space to engineers and scientists. It is observed that there is an opening to design a trapezoidal method which is entirely different from the traditional trapezoidal method for the numerical solution of ordinary differential equations. Numerical experiments were performed to show the validity of the algorithm.

Keywords

Trapezoidal rule, Single and double integrals, Newton’s interpolation, Numerical solution, Differential equations.