Results 31 to 40 of about 1,249,069 (294)
Temporal Analysis to The Solution of Burgers' Equation Using Spect Methodl [PDF]
The Egyptian International Journal of Engineering Sciences and Technology, 1999 The physically important Burgers' equation is solved using the spectral methodtechnique with the orthogonal Chebyshev polynomials as its basis functions with somegiven boundary conditions. The same problem is again solved utilizing a transformationmethod
I.A ismail, I.A ismai
doaj +1 more source
Journal of Differential Equations, 1998 The theory of generalized Burgers-type equations with a fractional power of the Laplacian in the principal part and with a general algebraic nonlinearity is presented. Such equations naturally appear in continuum mechanics. The given results include existence, uniqueness, regularity, asymptotic behavior of solutions to the Cauchy problem and a ...
Biler, Piotr +2 more
openaire +1 more source
Journal of Function Spaces, 2021 The generalized time-fractional, one-dimensional, nonlinear Burgers equation with time-variable coefficients is numerically investigated. The classical Burgers equation is generalized by considering the generalized Atangana-Baleanu time-fractional ...
Dumitru Vieru +3 more
doaj +1 more source
Mathematics, 2022 The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution ...
Lingxiao Li +2 more
doaj +1 more source
Results in Physics, 2019 In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative.
Zeliha Korpinar +4 more
doaj +1 more source
On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
doaj +1 more source
Results in Physics, 2022 The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper,
Sanjaya Kr. Mohanty +2 more
doaj +1 more source
Asymptotic profiles for a class of perturbed Burgers equations in one space dimension [PDF]
Opuscula Mathematica, 2018 In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we ...
F. Dkhil, M. A. Hamza, B. Mannoubi
doaj +1 more source
Integrable viscous conservation laws [PDF]
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
core +1 more source
Exact solution of an electroosmotic flow for generalized Burgers fluid in cylindrical domain
Results in Physics, 2016 The present paper reports a theoretical study of the dynamics of an electroosmotic flow (EOF) in cylindrical domain. The Cauchy momentum equation is first simplified by incorporating the electrostatic body force in the electric double layer and the ...
Masood Khan +3 more
doaj +1 more source