Connectionist based models for solving Diophantine equation. Issue 4 (18th May 2020)

• Record Type: Journal Article
• Authors: Jeswal, S. K.; Chakraverty, S.
• Is Part Of: Journal of interdisciplinary mathematics. Volume 23:Issue 4(2020)
• Page Start: 825
• Page End: 841
• Publication Date: 2020-05-18
• Subjects: 92B20 -- 82C32 -- 11Y50; Artificial Neural Network (ANN) -- Connectionist model -- Diophantine equation; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2020.1712844
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: Diophantine equation is an important concept while studying number theory. But there is as such no standard method or procedure to find the solution of the Diophantine equation. In this article, the numerical solution of Diophantine equation has been discussed using the concept of Artificial Neural Network (ANN). A four layer ANN architecture has been constructed for solving Diophantine eqution. Detail ANN procedure with few example problems and their network architectures have been addressed. Convergence plots and/or convergence tables for different example problems have also been included to validate the proposed method.