Solving Double Integration With The Help of Monte Carlo Simulation: A Python Approach

Priyanshi Mishra¹ , Ayush Sharma² , Dhananjay R. Mishra³ , Pankaj Dumka⁴

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

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.3 , pp.6-10, Mar-2023

Online published on Mar 31, 2023

Copyright © Priyanshi Mishra, Ayush Sharma, Dhananjay R. Mishra, Pankaj Dumka . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this article, a model of the double integration process has been attempted using Monte Carlo simulation. Both non-rectangular and rectangular domains are dealt separately. Python programming has been used to automate the entire random number-based integration process. Three example problems are used to test the newly created cods, and the results achieved are consistent with those reported in the literature.

Key-Words / Index Term :
Double integration; Monte Carlo simulation; Monte Carlo integration; Python programming; Integration; Stochastic Integration

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