Numerical Integration Techniques: A Comprehensive Review


Authors : Md. Abdullah Bin Masud; Faijun Nesa Shimi; Rathindra Chandra Gope

Volume/Issue : Volume 9 - 2024, Issue 9 - September


Google Scholar : https://tinyurl.com/ys82959w

Scribd : https://tinyurl.com/yjdjwdvx

DOI : https://doi.org/10.38124/ijisrt/IJISRT24SEP1327

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : Numerical integration is a fundamental concept in computational mathematics and plays a crucial role in various scientific and engineering disciplines. This paper provides a comprehensive review of numerical integration techniques, their applications, comparative analysis, and conclusions. The discussed methods include the trapezoidal rule, Simpson’s rule, Gaussian quadrature, and Widdle’s method methods. The accuracy, efficiency, and limitations of each method are evaluated through theoretical analysis and practical examples.

Keywords : Trapezoidal Rule, Simpson’s One Third Rule, Simpson’s Three Eight Rule, Widdles Rule, Gaussian Quadrature.

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Numerical integration is a fundamental concept in computational mathematics and plays a crucial role in various scientific and engineering disciplines. This paper provides a comprehensive review of numerical integration techniques, their applications, comparative analysis, and conclusions. The discussed methods include the trapezoidal rule, Simpson’s rule, Gaussian quadrature, and Widdle’s method methods. The accuracy, efficiency, and limitations of each method are evaluated through theoretical analysis and practical examples.

Keywords : Trapezoidal Rule, Simpson’s One Third Rule, Simpson’s Three Eight Rule, Widdles Rule, Gaussian Quadrature.

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