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Limits to extensions of Burgers’ equation [PDF]
Quarterly of Applied Mathematics, 1996 The vector Burgers’ equation is extended to include pressure gradients and gravity. It is shown that within the framework of the Cole-Hopf transformation there are no physical solutions to this problem. This result is important because it clearly demonstrates that any extension of Burgers’ equation to more interesting physical situations is strongly ...
Nerney, Steven +2 more
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Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Journal of Applied Mathematics, 2012 The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang +3 more
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Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers’ equation
Open Physics, 2015 A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers’ equation. Approximate function consists of the combination of the trigonometric B-splines.
Ay Buket +2 more
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Approximations to the Stochastic Burgers Equation [PDF]
Journal of Nonlinear Science, 2011 This article is devoted to the numerical study of various finite difference approximations to the stochastic Burgers equation. Of particular interest in the one-dimensional case is the situation where the driving noise is white both in space and in time.
Martin Hairer, Jochen Voss
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Traveling wave solutions for the two-dimensional Zakharov-Kuznetsov-Burgers equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper, the two-dimensional Zakharov-Kuznetsov-Burgers (ZKB) equation is investigated. The basic set of fluid equations is reduced to ZKB equation.
G. Shaikhova, G. Shaikhova
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A note on a singular coupled Burgers equation and double Laplace transform method [PDF]
, 2018 In this paper, modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of Burgers equation with appropriate initial conditions.
Eltayeb, Hassan +5 more
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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
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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
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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
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