Mathematical Foundations and Principles Behind These Methods

Author:

Kadhim Noor Mohammed1,Hamad Abdulsattar Abdullah2

Affiliation:

1. Wasit University, Iraq

2. University of Samarra, Iraq

Abstract

This work addresses the definition and historical introduction to numerical methods and the need for their application in engineering. Likewise, the basic concepts of accuracy, precision, convergence, and stability are established, as are the definitions of the different types of errors and how to quantify them. Finally, the Taylor polynomial is a resource for approximating mathematical functions. A subfield of mathematics known as “numerical analysis” uses iterative algorithms to produce numerical solutions to issues where analytical or symbolic mathematics is unable to solve or is inefficient. These algorithms are specifically referred to as numerical methods.

Publisher

IGI Global

Reference11 articles.

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2. Borras, H., Duran, R., & Iriarte, R. (1984). Notes on numerical methods. UNAM Engineering Faculty.

3. A mini-review of numerical methods for high-order problems†

4. Boyce, W. E. & DiPrima, R. C. (1970). Elemental Differential Equations and Boundary Value Problems. J. Wiley.

5. The numerical analysis in the last 24 years.;A. M.Finkelshtein;Magazine of the Spanish Society of History of Sciences and Techniques

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