Results 21 to 30 of about 391,016 (273)

On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]

, 1999
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz, Ablowitz, Andrew Hone, Bureau, Chazy, Cosgrove, Fokas, Fokas, Fokas, Frank Nijhoff, Fuchs, Fuchs, Gambier, Garnier, Joshi, Nalini Joshi, Nijhoff, Nijhoff, Nijhoff, Okamoto, Painlevé, Painlevé, Periwal, Ramani, Weiss, Weiss   +25 more
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Simplified variational iteration method for solving ordinary differential equations and eigenvalue problems

Advances in Mechanical Engineering, 2016
A simplified variational iteration method is proposed to solve high-order homogeneous or nonhomogeneous linear ordinary differential equation and ordinary differential equation eigenvalue problems more efficiently and conveniently.
Chao Pan, Ruifu Zhang, Hao Luo, Hua Shen
doaj   +1 more source

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

Mathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK

E-Jurnal Matematika, 2020
Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation.
I GEDE PUTU MIKI SUKADANA, I NYOMAN WIDANA, KETUT JAYANEGARA   +2 more
doaj   +1 more source

On a complex differential Riccati equation [PDF]

, 2007
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
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Picard-Fuchs Ordinary Differential Systems in N=2 Supersymmetric Yang-Mills Theories [PDF]

, 1999
In general, Picard-Fuchs systems in N=2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter is used as unique independent variable instead of moduli, the resulting ...
Srivastava H. M., Yűji Ohta
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Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines

Cumhuriyet Science Journal, 2022
This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı, Bahar Karaman, Yılmaz Dereli   +2 more
doaj   +1 more source

Gravitating fluids with Lie symmetries

, 2010
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi, Bluman G W, Dimas S, Hereman W, K S Govinder, Lobo F S N, Olver P J, S D Maharaj, Thirukkanesh S, Wolfram S   +9 more
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From time series analysis to a modified ordinary differential equation

Journal of Algorithms & Computational Technology, 2018
In understanding Big Data, people are interested to obtain the trend and dynamics of a given set of temporal data, which in turn can be used to predict possible futures.
Meiyu Xue, Choi-Hong Lai
doaj   +1 more source

Van der Pol model in two-delay differential equation representation

Scientific Reports, 2022
The Van der Pol equation is the mathematical model of a second-order ordinary differential equation with cubic nonlinearity. Several studies have been adding time delay to the Van der Pol model. In this paper, the differential equation of the Van der Pol
M. A. Elfouly, M. A. Sohaly
doaj   +1 more source