Symmetry Methods for Solving Differential Equations
A special issue of Mathematical and Computational Applications (ISSN 2297-8747).
Deadline for manuscript submissions: 26 July 2024 | Viewed by 2506
Special Issue Editor
Interests: perturbation methods; perturbation-iteration algorithms; symmetries of differential equations; approximate symmetries; analytical and numerical solutions of differential equations; root-finding algorithms; nonlinear vibrations; non-Newtonian fluid mechanics; nonlinear dynamics; heat transfer; mathematical education
Special Issue Information
Dear Colleagues,
Symmetry Analysis is a systematic method of solving differential equations which has been widely applied to many mathematical models in search of analytical solutions. The results of ad-hoc methods can be combined and classified within the context of symmetries of differential equations.
The aim of this Special Issue is to collect high-quality work and provide a dissemination of recent results on the topic. Lie Group Theory, Noether Symmetries, and the Exterior Calculus approach are widely used symmetry methods. Contributions to the development of these methods are within the scope of this Special Issue. Studies on new theories combining symmetry with perturbation methods, such as the approximate symmetry methods, are welcome. Classical Lie Point Symmetries, Equivalence Transformations, Group Classifications, Non-Classical Symmetries, and Lie–Backlund Symmetries are other techniques that may be considered. Papers employing special group transformations (Scaling, Translational, Spiral), as well as other similarity transformations, are also acceptable. Papers on symmetries should address applications of the method to solving ordinary or partial differential equations. Papers that employ methods for solving applied problems in Physics, Chemistry, Biology, Engineering, Administrative Sciences, and other social sciences in the form of differential equations are highly encouraged. Abstract Lie Group Theory papers without any evidence of application to differential equations are discouraged.
Prof. Dr. Mehmet Pakdemirli
Guest Editor
Manuscript Submission Information
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