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Vieta–Lucas polynomials for solving a fractional-order mathematical physics model
, 2020 In this article, a fractional-order mathematical physics model, advection–dispersion equation (FADE), will be solved numerically through a new approximative technique. Shifted Vieta–Lucas orthogonal polynomials will be considered as the main base for the
P. Agarwal, A. A. El-Sayed
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Open Physics, 2020 Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term ...
Jun-Feng Li +6 more
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Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical physics
, 2020 In this article, we consider the exact solutions to the simplified modified Camassa-Holm (SMCH) equation which has many potential applications in mathematical physics and engineering sciences.
Md. Nurul Islam +2 more
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Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties in non-relativistic gasdynamics and applied to obtain reduction to tractable canonical forms.
Sergey V. Meleshko, Colin Rogers
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Which Number System Is “Best” for Describing Empirical Reality?
Mathematics, 2022 Eugene Wigner’s much-discussed notion of the “unreasonable effectiveness of mathematics” as applied to describing the physics of empirical reality is simultaneously both trivial and profound. After all, the relevant mathematics was (in the first instance)
Matt Visser
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Some Multifaceted Aspects of Mathematical Physics, Our Common Denominator with Elliott Lieb †
Axioms, 2022 Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I), and around the seminal scientific and personal interactions that developed ...
Daniel Sternheimer
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Physics and Mathematics of Calogero particles [PDF]
, 2006 We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.Comment: Version to appear in Special Issue of Journal of Physics A: Mathematical and ...
Abanov A G +23 more
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Another Journal on Mathematical Logic and Mathematical Physics?
Axioms, 2011 It is my great pleasure to welcome you to Axioms: Mathematical Logic and Mathematical Physics, a new open access journal, which is dedicated to the foundations (structure and axiomatic basis, in particular) of mathematical and physical theories, not only
Angel Garrido
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p-Adic mathematical physics: the first 30 years [PDF]
, 2017 p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the
B. Dragovich +5 more
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