Informatics Publishing Limited

B. K. Datta ¹, N. Rahman ¹, R. C. Bhowmik ¹, S. Paul ², M. R. Kabir ¹, U. Roy ¹

Affiliations
1 Department of Mathematics, Pabna University of Science and Technology, BD
2 Department of Mathematics, Ball State University, US

Abstract

Numerical integration is a frequently-needed tool in modern Science and Engineering. Engineers and Scientists typically visualize integration as the process of determining the area under a curve. Besides this, because of its many more applications, it is often viewed as a discipline in and of itself. In this paper we develop a mathematical simulator for solving numerical integration problems. This simulator is incorporated with a combination of Trapezoidal rule, Simpson’s 1/3 rule, Simpson’s 3/8 rule and rule.

Keywords

Trapezoidal, Weddle, Syracuse, Language.

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B. K. Datta ¹, N. Rahman ¹, R. C. Bhowmik ¹

Affiliations
1 Department of Mathematics, Pabna University of Science and Technology, BD

Abstract

Numerical differential equations studies the methods for finding numerical approximations to the solutions of differential equations, occur in many scientific disciplines, for instance in physics, chemistry, biology, and economics. Because of its various applications, this is often viewed as a discipline in and of itself. In this paper we develop a numerical simulator for solving ordinary differential equations (ODEs). This simulator is incorporated with a combination of Euler, modified Euler and Runge-Kutta second and fourth order methods.

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