Results 211 to 220 of about 3,603,035 (255)

Exponential time differencing Crank–Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations

Applied Mathematics and Computation, 2014
Qin Sheng, Abdul Q M Khaliq
exaly   +2 more sources

Approximation of radical functional equations related to quadratic and quartic mappings [PDF]

Journal of Mathematical Analysis and Applications, 2012
In this paper, we introduce and solve of the radical quadratic and radical quartic functional equations: f(ax2+by2)=af(x)+bf(y),f(ax2+by2)+f(|ax2−by2|)=2a2f(x)+2b2f(y). We also establish some stability results in 2-normed spaces and then the stability by
Hamid Khodaei, M Eshaghi Gordji, Y J Cho   +2 more
exaly   +2 more sources

2512. Cubic and quartic equations

The Mathematical Gazette, 1955
H. Lindgren
semanticscholar   +2 more sources

On the solutions of quartic Diophantine equations

MATHEMATICA, 2023
In this article, first, using the elliptic curve method, it is proved that the quartic Diophantine equations x^4-y^4=k(t^lambda-u^4{+-} v^4) for positive even lambda and integers k and t has infinitely many non-trivial rational solutions. Then, by direct ways, parametric solutions for equations x^4-y^4=k(t^3{+-} u^4-v^4) are found.
Mahnaz Ahmadi, Ali Sarbaz Janfada, Kamran Nabardi   +2 more
openaire   +1 more source

A generalized quartic equation of state

Fluid Phase Equilibria, 1996
A generalized quartic equation of state has been developed for nonpolar and polar fluids. The quartic equation of state needs only four fluid properties to predict physical and thermodynamic properties over a wide range of temperatures and pressures. These four properties are critical volume, critical temperature, acentric factor and dipole moment. The
V.M. Shah, Y.-L. Lin, P.R. Bienkowski, H.D. Cochran   +3 more
openaire   +1 more source

On the investigation of optical soliton solutions of cubic-quartic Fokas-Lenells and Schrödinger-Hirota equations

Optik (Stuttgart), 2022
Muslum Ozisik, I. Onder, Handenur Esen, M. Cinar, N. Ozdemir, A. Seçer, M. Bayram   +6 more
semanticscholar   +1 more source

Stability of a quartic functional equation

Journal of Fixed Point Theory and Applications, 2018
The authors introduce an {\(n\)-dimensional quartic functional equation} and show that this new equation generalizes some known {quartic functional equations}. The main task of the paper is to verify the stability (in the Ulam-Hyers sense) of the \(n\)-dimensional quartic equation for mappings between a normed space and a Banach space. Two such results
Sandra Pinelas, V. Govindan, K. Tamilvanan   +2 more
openaire   +3 more sources

A new quartic equation of state

Fluid Phase Equilibria, 2001
Abstract A new quartic equation of state (EOS) is presented, which consists of the repulsive term of CCOR EOS and the attractive term of PT EOS, coupled with new parameters, the general forms of which are given for non-polar substances. The new EOS can be solved algebraically like a cubic EOS.
Zhi, Y, Meiren, S, Jun, S, Lee, H Lee, Huen   +3 more
openaire   +2 more sources

Cubic and Quartic Diophantine Equations

2020
In Chapters 3 and 4 we were concerned with quadratic equations in two variables, but were only allowing ourselves integer solutions. An equation involving polynomials together with the constraint that we are only interested in integer solutions is called a Diophantine equation. In this sense we have been considering ‘quadratic Diophantine equations’.
Menny Aka, Manfred Einsiedler, Thomas Ward   +2 more
openaire   +1 more source

On the Solution of Quartic and Cubic Equations

IETE Journal of Education, 2006
A method of solving a quartic equation, which does not require extracting the roots of complex numbers is explained in details. In the process, the solution of a cubic equation has also been presented, with the same degree of simplicity.
openaire   +1 more source