Md. Nayan Dhali; Nandita Barman; Md. Mohedul Hasan; A. K. M. Selim Reza

Numerical Double Integration for Unequal Data Spaces

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Author(s)

Md. Nayan Dhali ^1,* Nandita Barman ² Md. Mohedul Hasan ³ A. K. M. Selim Reza ⁴

1. Department of Mathematics, Jashore University of Science and Technology, Bangladesh

2. Department of ICT, Bangladesh University of Professionals, Bangladesh

3. Department of Mathematics, Dhaka University of Engineering and Technology, Bangladesh

4. Department of Mathematics, Khulna University of Engineering and Technology, Bangladesh

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2020.06.04

Received: 3 Oct. 2020 / Revised: 23 Oct. 2020 / Accepted: 3 Nov. 2020 / Published: 8 Dec. 2020

Index Terms

Numerical Integral, Numerical Double Integration, Newton`s Divided Difference, Trapezoidal Rule

Abstract

Numerical integral is one of the mathematical branches that connect between analytical mathematics and computer. Numerical integration is a primary tool used by engineers and scientists to obtain an approximate result for definite integrals that cannot be solved analytically. Numerical double integration is widely used in calculating surface area, the intrinsic limitations of flat surfaces and finding the volume under the surface. A wide range of method is applied to solve numerical double integration for equal data space but the difficulty is arisen when the data values are not equal. In this paper we have tried to generate a mathematical formula of numerical double integration for unequal data spaces. Trapezoidal rule for unequal space is used to evaluate the formula. We also verified our proposed model by demonstrating some numerical examples and compared the numerical result with the analytical result.

Cite This Paper

Md. Nayan Dhali, Nandita Barman, Md. Mohedul Hasan, A. K. M. Selim Reza. " Numerical Double Integration for Unequal Data Spaces ", International Journal of Mathematical Sciences and Computing (IJMSC), Vol.6, No.6, pp.24-29, 2020. DOI: 10.5815/IJMSC.2020.06.04

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