International Journal of Research and Scientific Innovation (IJRSI)
Symbolic Regression for Approximating Analytic Solutions to Differential Equations
Published September 2, 2025 • Vol. 12, Issue 8, pp. 527–534Open Access
DOI: 10.51244/IJRSI.2025.120800044
Abstract
Approximate analytic expressions are obtained for initial value problems with purely numerical solutions. Symbolic regression was utilized to obtain such analytic expression. For functions that are Lipschitz continuous, results revealed that the maximum absolute error (sup-norm) is bounded.
Keywords: symbolic regression, initial value problem, finite difference method
| Journal | International Journal of Research and Scientific Innovation (IJRSI) |
|---|---|
| ISSN | 2321-2705 |
| Volume / Issue | Volume 12, Issue 8 |
| Pages | 527–534 |
| Publication date | September 2, 2025 |
| DOI | 10.51244/IJRSI.2025.120800044 |
| Publisher | RSIS International |
| License | Open Access |
How to cite this article
Dionisel Y. Regalado (2025). Symbolic Regression for Approximating Analytic Solutions to Differential Equations. International Journal of Research and Scientific Innovation (IJRSI), 12(8), 527-534. https://doi.org/10.51244/IJRSI.2025.120800044
BibTeX
@article{Dionisel2025,
title = {Symbolic Regression for Approximating Analytic Solutions to Differential Equations},
author = {Dionisel Y. Regalado},
journal = {International Journal of Research and Scientific Innovation (IJRSI)},
volume = {12},
number = {8},
pages = {527--534},
year = {2025},
doi = {10.51244/IJRSI.2025.120800044},
publisher = {RSIS International}
}