Numerical Double Integration for Unequal Data Spaces | Zendy

Md. Nayan Dhali | Zendy; Nandita Barman | Zendy; Md. Mohedul Hasan | Zendy; Amit Reza | Zendy

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Numerical Double Integration for Unequal Data Spaces

Author(s) -

Md. Nayan Dhali,

Nandita Barman,

Md. Mohedul Hasan,

Amit Reza

Publication year - 2020

Publication title -

international journal of mathematical sciences and computing

Language(s) - English

Resource type - Journals

eISSN - 2310-9033

pISSN - 2310-9025

DOI - 10.5815/ijmsc.2020.06.04

Subject(s) - numerical integration , numerical analysis , range (aeronautics) , space (punctuation) , surface (topology) , computer science , multiple integral , surface integral , mathematics , data integration , computer simulation , mathematical analysis , integral equation , geometry , data mining , simulation , materials science , composite material , operating system

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.

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