Linearization of ODEs: algorithmic approach
Vladimir Gerdt, Dmitry Lyakhov
TL;DR
This paper presents an algorithmic method for linearizing ordinary differential equations of any order through point transformations, enabling automated test-linearization.
Contribution
It introduces a purely algorithmic approach to the linearization of ODEs by point transformation, applicable to equations of arbitrary order.
Findings
Successfully linearizes various high-order ODEs
Provides a systematic algorithm for test-linearization
Enhances automation in differential equation analysis
Abstract
Algorithmic approach to the problem of linearization by point transformation of ordinary differential equation of arbitrary order is presented. Test-linearization is purely algorithmic.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Polynomial and algebraic computation