An Algorithm for Integration, Differentiation and Finding Root Numerically

Aminul Islam; B. Datta

An Algorithm for Integration, Differentiation and Finding Root Numerically

Nizhum Rahman * § Researcher

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N. Rahman ‡

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Aminul Islam ¶

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Pulakesh Gain ‡

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B. K. Datta ‡

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R. C. Bhowmik ‡

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§ Pabna University of Science & Technology.

‡ Department of Mathematics, Pabna University of Scien...

¶ Department of EEE, University of Information Technol...

An Algorithm for Integration, Differentiation and Finding Root Numerically

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Abstract

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.

References

6 Cites in Article

Reference Format

1. N. Datta,R. Rahman,Bhowmik (2014). A Numerical Simulator for Solving Ordinary Differential Equations, IJSET. A Numerical Simulator for Solving Ordinary Differential Equations, 250-252.
2. N. Datta,R. Rahman,U. Bhowmik,M. Roy,S. Kabir,Paul A Numerical Simulator for Solving Numerical Integration. IJSET, 3(4)
3. Wiki Answers. Wiki
4. M. Goyal (2007). Computer-based Numerical & Statistical Techniques.
5. Scholarpedia.
CrossRef DOI
6. A. Kaw,E. Kalu (2008). Numerical Methods with Applications, Lalu. com

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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.

How to Cite This Article

N. Rahman, Aminul Islam, Pulakesh Gain, B. K. Datta, R. C. Bhowmik. 2015. "An Algorithm for Integration, Differentiation and Finding Root Numerically". Global Journal of Research in Engineering - J: General Engineering GJRE-J Volume 14 (GJRE Volume 14 Issue 47 (J7)).

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GJRE Volume 14 Issue 47 (J7)

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

and the sciences computer science engineering Mathematics

Classification

GJRE-J Classification FOR Code: 091307

010399

Submission ReceivedDecember 12, 2013
Peer Review Double Blind
Handling Editor
Accepted January 5, 2014
Published December 15, 2014

Version of record

v1.2

Issue date

December 15, 2014

Language

English

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Article Matrices

Total Score: 103

Country: Bangladesh

Subject: Global Journal of Research in Engineering - J: General Engineering

Authors: Nizhum Rahman, Aminul Islam, B. K. Datta (PhD/Dr. count: 0)

View Count (all-time): 460

Total Views (Real + Logic): 1861

Total Downloads (simulated): 82

Publish Date: 2014 12, Wed

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Total Views: 1.9K

Total Downloads: 82

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