ENHANCING THE EFFECTIVENESS OF TEACHING METHODOLOGY FOR ELLIPTIC DIFFERENTIAL EQUATION SOLUTIONS BASED ON ARTIFICIAL INTELLIGENCE

Authors

  • Jo‘rayev Shaxzod Shuhratjonvich Asia International University

DOI:

https://doi.org/10.55640/

Keywords:

elliptic differential equations, artificial intelligence, teaching methodology, PDE, pedagogy, Machine Learning, Deep Learning

Abstract

This article analyzes the methodology of teaching solutions of elliptic differential equations using artificial intelligence technologies. Traditional analytical methods are complex and time-consuming, whereas AI approaches enable approximate solution calculation, visualization, and enhanced interactivity. The paper presents mechanisms for approximate solution finding using neural networks, pedagogical integration pathways, and a theoretical analysis of methodological effectiveness.

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References

1.Smith J., Elliptic Partial Differential Equations, 2019.

2.Johnson A., Teaching PDEs in University, 2020.

3.Brown L., Numerical Methods for PDE, 2018.

4.Wang Y., Deep Learning for PDE, 2021.

5.Li H., Neural Networks in Education, 2022.

6.Zhang Q., AI in Teaching Mathematics, 2020.

7.Wang Y., Deep Learning Approach to Elliptic PDE, 2021.

8.Li H., Interactive Learning of PDEs, 2022.

9.Kim S., AI-Powered Pedagogy, 2021.

10.Davis R., Visualization Techniques in Mathematics, 2019.

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Published

2025-12-15

Issue

Vol. 4 No. 11 (2025): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

ENHANCING THE EFFECTIVENESS OF TEACHING METHODOLOGY FOR ELLIPTIC DIFFERENTIAL EQUATION SOLUTIONS BASED ON ARTIFICIAL INTELLIGENCE. (2025). Journal of Multidisciplinary Sciences and Innovations, 4(11), 1764-1768. https://doi.org/10.55640/

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