An Algorithm for Integration, Differentiation and Finding Root Numerically

1
Nizhum Rahman
Nizhum Rahman Researcher
2
Aminul Islam
Aminul Islam
3
B. K. Datta
B. K. Datta
1 Pabna University of Science & Technology.

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GJRE Volume 14 Issue J7

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Numerical analysis concerns the development of algorithms for solving various types of problems of mathematics; it is a vast-ranging field having deep interaction with computer science, mathematics, engineering, and the sciences. Numerical analysis mainly consists of Numerical Integration, Numerical Differentiation and finding Roots numerically. In this paper we develop an algorithm combination of Numerical Integration (Trapezoidal rule, Simpson’s 𝟏𝟏/𝟑𝟑 rule, Simpson’s 𝟑𝟑/𝟖𝟖 rule and Weddle’s rule.), Numerical Differentiation (Euler, modified Euler and Runge-Kutta second and fourth order) and finding Roots (Bisection method and False position method) numerically.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Nizhum Rahman. 2015. \u201cAn Algorithm for Integration, Differentiation and Finding Root Numerically\u201d. Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 14 (GJRE Volume 14 Issue J7): .

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Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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v1.2

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December 31, 2015

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English

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Numerical analysis concerns the development of algorithms for solving various types of problems of mathematics; it is a vast-ranging field having deep interaction with computer science, mathematics, engineering, and the sciences. Numerical analysis mainly consists of Numerical Integration, Numerical Differentiation and finding Roots numerically. In this paper we develop an algorithm combination of Numerical Integration (Trapezoidal rule, Simpson’s 𝟏𝟏/𝟑𝟑 rule, Simpson’s 𝟑𝟑/𝟖𝟖 rule and Weddle’s rule.), Numerical Differentiation (Euler, modified Euler and Runge-Kutta second and fourth order) and finding Roots (Bisection method and False position method) numerically.

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An Algorithm for Integration, Differentiation and Finding Root Numerically

Nizhum Rahman
Nizhum Rahman Pabna University of Science & Technology.
Aminul Islam
Aminul Islam
B. K. Datta
B. K. Datta

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