Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Preservice Middle School Mathematics Teachers’ Definitions of Algebraic Expression and Equation
International Journal of Contemporary Educational Research, 2022 Using correct definitions of the mathematical concepts is crucial for learning and teaching of any mathematical content. Being able to make mathematically correct definition of the concepts is an indicator of teachers’ content knowledge.
Pınar Yıldız +2 more
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Parametric Expansions of an Algebraic Variety near Its Singularities
Axioms, 2023 Presently, there is a method based on Power Geometry that allows one to find asymptotic forms and asymptotic expansions of solutions to different kinds of non-linear equations near their singularities.
Alexander D. Bruno, Alijon A. Azimov
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A distributed algorithm for solving a linear algebraic equation [PDF]
Allerton Conference on Communication, Control, and Computing, 2015 A distributed algorithm is described for solving a linear algebraic equation of the form Ax = b where A is a matrix for which the equation has at least one solution.
Shaoshuai Mou +5 more
semanticscholar +1 more source
A Story of Computational Science: Colonel Titus’ Problem from the 17th Century
Axioms, 2022 Experimentation and the evaluation of algorithms have a long history in algebra. In this paper we follow a single test example over more than 250 years.
Trond Steihaug
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A numerical approach for investigating a special class of fractional Riccati equation
Results in Physics, 2020 A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
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Algebraic Cryptanalysis with MRHS Equations
Cryptography, 2023 In this work, we survey the existing research in the area of algebraic cryptanalysis based on Multiple Right-Hand Sides (MRHS) equations (MRHS cryptanalysis).
Pavol Zajac
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Some results on L-dendriform algebras [PDF]
, 2010 We introduce a notion of L-dendriform algebra due to several different motivations. L-dendriform algebras are regarded as the underlying algebraic structures of pseudo-Hessian structures on Lie groups and the algebraic structures behind the $\mathcal O ...
Aguiar +24 more
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The dual fuzzy matrix equations: Extended solution, algebraic solution and solution
AIMS Mathematics, 2023 In this paper, we propose a direct method to solve the dual fuzzy matrix equation of the form $ \mathbf{A}\widetilde{\mathbf{X}}+\widetilde{\mathbf{B}} = \mathbf{C}\widetilde{\mathbf{X}}+\widetilde{\mathbf{D}} $ with $ \mathbf{A} $, $ \mathbf{C ...
Zengtai Gong , Jun Wu, Kun Liu
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