International Journal of Science Management and Engineering Research (IJSMER)

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Integration of Integral Transforms with Machine Learning Techniques for Solving Complex Mathematical Problems

Volume 9 | Issue 1 | March 2024

  Your Paper Publication Details:

  Title: Integration of Integral Transforms with Machine Learning Techniques for Solving Complex Mathematical Problem

 DOI (Digital Object Identifier) :

 Pubished in Volume: 9  | Issue: 1  | Year: March 2024

 Publisher Name : IJSMER-Rems Publishing House | www.ejournal.rems.co.in | ISSN : 2455-6203

 Subject Area: Science and Technology

 Author type: Indian Author

 Pubished in Volume: 9

 Issue: 1

 Pages: 66-70

 Year: March 2024

 Downloads: 19

  E-ISSN Number: 2455-6203

 Abstract

Integral transforms and machine learning techniques are two powerful tools for solving complex mathematical problems. In this paper, we explore the integration of integral transforms with machine learning techniques for solving partial differential equations, integral equations, and other complex mathematical problems. We present a novel framework that combines the strengths of integral transforms and machine learning techniques to solve complex mathematical problems. We demonstrate the effectiveness of our framework using several examples, including the solution of partial differential equations and integral equations. This paper presents a novel framework that integrates integral transforms with machine learning techniques for solving complex mathematical problems. The proposed framework leverages the strengths of integral transforms, such as the Fourier transform and Laplace transform, to preprocess and extract features from the input data. The extracted features are then used to train a machine learning model, such as a neural network or deep learning model, to solve the mathematical problem. The framework is demonstrated using several examples, including the solution of partial differential equations and integral equations. The results show that the proposed framework is able to accurately solve complex mathematical problems, and has the potential to be widely used in many fields, including physics, engineering, and mathematics.


 Keywords

Volterra integral equations, Integral equations, Machine Learning, Deep Learning, Neural Network, partial differential equations Mathematical modelling, Numerical analysis, Computational mathematics

  License

Creative Commons Attribution 4.0 and The Open Definition

Authors and Affiliations

Dr. Hetram Suryavanshi
Assistant Professor, Department of Mathematics, Vishwavidyalaya Engineering College, Ambikapur, (C.G.),India Dr. Gopi Sao
Associate Professor, Department of Mathematics, Eklavya University, Damoh, (M.P.),India

 References

Publication Details

Published in : Volume 9 | Issue 1 | March - 2024
Date of Publication : 25-03-2024
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 66-70
Manuscript Number : IJSMER202406
Publisher : Rems Publication

ISSN : 2455-6203

Cite This Article :

Dr. Hetram Suryavanshi, Dr. Gopi Sao " Integration of Integral Transforms with Machine Learning Techniques for Solving Complex Mathematical Problems ", International Journal of Science Management and Engineering Research (IJSMER), ISSN : 2455-6203, Volume 9 Issue 1, March- 2024 , pp. 51-65. Available at doi : https://doi.org/          
Journal URL : https://ejournal.rems.co.in/IJSMER202406 |



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