New Algebraic Approaches to Classical Boundary Layer Problems
Xiaoping Xu
TL;DR
This paper introduces algebraic methods combined with moving frame techniques to find solutions to classical non-steady boundary layer problems, enhancing the ability to solve related practical models.
Contribution
It presents novel algebraic approaches and ansatzes with undetermined functions for solving boundary layer equations using Lie symmetries.
Findings
Solutions with parameter functions for boundary layer problems
Application to related practical models and boundary value problems
Enhanced solution techniques using algebraic and symmetry methods
Abstract
In this paper, we use various ansatzes with undetermined functions and the technique of moving frame to find solutions with parameter functions modulo the Lie point symmetries for the classical non-steady boundary layer problems. These parameter functions enable one to find the solutions of some related practical models and boundary value problems.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Algebraic structures and combinatorial models