APPLICATIONS OF DAHL ANALYSIS IN PARTIAL DIFFERENTIAL EQUATIONS AND INFINITE CALCULUS

The Dahl analysis, originally used to model hysteresis in mechanical systems, shows great promise in the realm of Partial Differential Equations (PDEs) and Infinite Calculus.By leveraging the Dahl model's treatment of non-linear friction and hysteresis, it can be adapted to address complex PDEs that exhibit hysteresis-like behaviors, such as those found in fluid dynamics and material science.In Infinite Calculus, its application enhances the understanding of continuous deformation and non-linear systems, offering improved stability and control modeling in scenarios where conventional calculus methods are insufficient.

Publication Details

Journal
MINAR International Journal of Applied Sciences and Technology
Published
2025-03-01
DOI
https://doi.org/10.47832/2717-8234.22.7
Primary Topic
Numerical methods for differential equations
Type
article
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0.00
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article

APPLICATIONS OF DAHL ANALYSIS IN PARTIAL DIFFERENTIAL EQUATIONS AND INFINITE CALCULUS

MINAR International Journal of Applied Sciences and Technology
Numerical methods for differential equations
article

APPLICATIONS OF DAHL ANALYSIS IN PARTIAL DIFFERENTIAL EQUATIONS AND INFINITE CALCULUS

article en

Abstract

The Dahl analysis, originally used to model hysteresis in mechanical systems, shows great promise in the realm of Partial Differential Equations (PDEs) and Infinite Calculus.By leveraging the Dahl model's treatment of non-linear friction and hysteresis, it can be adapted to address complex PDEs that exhibit hysteresis-like behaviors, such as those found in fluid dynamics and material science.In Infinite Calculus, its application enhances the understanding of continuous deformation and non-linear systems, offering improved stability and control modeling in scenarios where conventional calculus methods are insufficient.

MINAR International Journal of Applied Sciences and TechnologyVol. 07(01)
Openalex Percentile: Top 88%
Numerical methods for differential equations
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APPLICATIONS OF DAHL ANALYSIS IN PARTIAL DIFFERENTIAL EQUATIONS AND INFINITE CALCULUS · MINAR International Journal of Applied Sciences and Technology (2025) | TGRS Research Map | TGRS