Pankaj Dumka; Rishika Chauhan; Dhananjay R. Mishra

Modelling Taylor's Table Method for Numerical Differentiation in Python

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Author(s)

Pankaj Dumka ^1,* Rishika Chauhan ² Dhananjay R. Mishra ¹

1. Department of Mechanical Engineering, Jaypee University of Engineering and Technology, Guna-473226, Madhya Pradesh, India

2. Department of Electronics and Communication Engineering, Jaypee University of Engineering and Technology, Guna-473226, Madhya Pradesh, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2023.04.03

Received: 2 Jul. 2023 / Revised: 1 Aug. 2023 / Accepted: 23 Sep. 2023 / Published: 8 Dec. 2023

Index Terms

Taylor's Table method, Applications in numerical differentiation, Simulations in Python programming

Abstract

In this article, an attempt has been made to explain and model the Taylor table method in Python. A step-by-step algorithm has been developed, and the methodology has been presented for programming. The developed TT_method() function has been tested with the help of four problems, and accurate results have been obtained. The developed function can handle any number of stencils and is capable of producing the results instantaneously. This will eliminate the task of hand calculations and the use can directly focus on the problem solving rather than working hours to descretize the problem.

Cite This Paper

Pankaj Dumka, Rishika Chauhan, Dhananjay R. Mishra, "Modelling Taylor's Table Method for Numerical Differentiation in Python", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.9, No.4, pp. 20-28, 2023. DOI:10.5815/ijmsc.2023.04.03

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International Journal of Mathematical Sciences and Computing (IJMSC)