Symbolic Regression for Approximating Analytic Solutions to Differential Equations

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.

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Publication Details

Journal
International journal of research and scientific innovation
Published
2025-01-01
DOI
https://doi.org/10.51244/ijrsi.2025.120800044
Primary Topic
Control Systems and Identification
Type
article
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article

Symbolic Regression for Approximating Analytic Solutions to Differential Equations

Dionisel Yamba Regalado
International journal of research and scientific innovation
Control Systems and Identification
article

Symbolic Regression for Approximating Analytic Solutions to Differential Equations

Dionisel Yamba Regalado
article en

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.

International journal of research and scientific innovationVol. 12(8)
Western Mindanao State University (PH)
Openalex Percentile: Top 72%
Control Systems and Identification
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Symbolic Regression for Approximating Analytic Solutions to Differential Equations — Dionisel Yamba Regalado · International journal of research and scientific innovation (2025) | TGRS Research Map | TGRS