Results 21 to 30 of about 14,119 (263)

Algebraic structure of space and field

Electronic Journal of Qualitative Theory of Differential Equations, 2001
We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili, Z. V. Khukhunashvili   +1 more
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Black-brane solution for A3 algebra [PDF]

Physics Letters B, 2002
11 pages, Latex, to appear in Phys.
Grebeniuk M.A., Ivashchuk V.D., Melnikov V.N.   +2 more
openaire   +5 more sources

An algebraic method for quasi-linear first-order ODEs

ITM Web of Conferences, 2018
In this paper, we consider the class of quasi-linear first-order ODEs of the form y′ = P(x; y), where P is a polynomial in y with coefficients in ℂ(x), and study their algebraic solutions.
Vo Thieu N.
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Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations

Results in Physics, 2016
In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method.
M. Arshad, Aly Seadawy, Dianchen Lu, Jun Wang   +3 more
doaj   +1 more source

Algebraic solutions to recursion schemes

Journal of Computer and System Sciences, 1987
The search for solutions of the set of equations associated with recursion schemes of programs and the description of the set of such solutions constitute one of the principal problems in modern schematics. The paper deals with the algebraic theory of recursion schemes which includes tree algebras and the algebras obtained from congruence on trees ...
Guessarian, Irene, Benson, D.
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Analytical technique for solving the quadratic nonlinear oscillator

Results in Physics, 2020
Recently, an approximate solution of the quadratic nonlinear oscillator has been presented based on the harmonic balance method. According to this method a set of nonlinear algebraic equations appear among the unknown coefficients of the several harmonic
Ismot Ara Yeasmin, Nazmul Sharif, M. Saifur Rahman, M.S. Alam   +3 more
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Solution to algebraic equations of degree~4 and the fundamental theorem of algebra by Carl Friedrich Gauss

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022
Since Geronimo Cardano, algebraic equations of degree 4 have been solved analytically. Frequently, the solution algorithm is given in its entirety. We discovered two algorithms that lead to the same resolvente, each with two solutions; therefore, six ...
Norbert Südland, Jörg Volkmann, Dinesh Kumar   +2 more
doaj  

A new approach for solving fractional differential-algebraic equations

Journal of Taibah University for Science, 2017
In this paper, the Bezier curves method is implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). This methods in applied mathematics can be used as approximated method for obtaining approximate solutions for ...
F. Ghomanjani
doaj   +1 more source

Algebraic Systems with Positive Coefficients and Positive Solutions

Mathematics, 2022
The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients.
Ana Maria Acu, Ioan Raşa, Ancuţa Emilia Şteopoaie   +2 more
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Difficulties experienced by students in the interpretation of the solutions of ordinary differential equations that models a problem

Enseñanza de las Ciencias, 2011
In this work we analyzed some of the difficulties that arise when the student interpret the solutions of Ordinary Differential Equation (ODE) when they are expressed in graphical and algebraic form.
Carolina Guerrero Ortiz, Matías Camacho Machín, Hugo Rogelio Mejía Velasco   +2 more
doaj   +1 more source