Mathematical studies of the solution of Burgers' equations by Adomian decomposition method
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DOI: 10.1002/mma.5982
Abstract: In this paper, a novel Adomian decomposition method (ADM) is developed for the solution of Burgers' equation. While high level of this method for differential equations are found in the literature, this work covers most… read more here.
Keywords: solution burgers; adomian decomposition; method; solution ... See more keywords
Lie Group Classification for a Class of Compound KdV–Burgers Equations with Time-Dependent Coefficients
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DOI: 10.1007/s40819-020-00931-1
Abstract: We derive the Lie group classification for a general class of KdV–Burgers equations, where the coefficients are functions of time. We demonstrate how important is the use of equivalence transformations prior the group classification. These… read more here.
Keywords: lie group; burgers equations; group; kdv burgers ... See more keywords
Shock waves of viscoelastic Burgers equations
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DOI: 10.1016/j.ijengsci.2020.103226
Abstract: Abstract Travelling wave solutions of the front, kink or shock wave type are obtained analytically for one–dimensional viscoelastic Burgers equations with an objective Gordon–Schowalter time derivative in the constitutive law by means of a novel… read more here.
Keywords: burgers equations; convected maxwell; viscoelastic burgers; relaxation parameter ... See more keywords
On the Boussinesq–Burgers equations driven by dynamic boundary conditions
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DOI: 10.1016/j.jde.2017.10.023
Abstract: Abstract We study the qualitative behavior of the Boussinesq–Burgers equations on a finite interval subject to the Dirichlet type dynamic boundary conditions. Assuming H 1 × H 2 initial data which are compatible with boundary… read more here.
Keywords: burgers equations; boundary conditions; boussinesq burgers; driven dynamic ... See more keywords
The Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers’ Equations with Time-Fractional Derivative
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DOI: 10.3390/math7060486
Abstract: In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers’ equations with a time-fractional derivative. In the presented methods, we combined the operational matrix of fractional… read more here.
Keywords: equations time; system; system burgers; gegenbauer wavelets ... See more keywords
A Comparative Study of the Fractional-Order System of Burgers Equations
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DOI: 10.3390/sym13101786
Abstract: This paper is related to the fractional view analysis of coupled Burgers equations, using innovative analytical techniques. The fractional analysis of the proposed problems has been done in terms of the Caputo-operator sense. In the… read more here.
Keywords: order system; burgers equations; fractional order; comparative study ... See more keywords
Symmetry Analysis and Some New Exact Solutions of the (2+1)-dimensional Burgers Equations
Sign Up to like & getrecommendations! Published in 2017 at "Acta Physica Polonica B"
DOI: 10.5506/aphyspolb.48.2031
Abstract: The solutions of nonlinear differential equations are an essential tool for many physical and engineering applications. There are many methods to solve nonlinear partial differential equations (PDEs) such as the Weierstrass function method [1], Jacobi… read more here.
Keywords: burgers equations; method; symmetry analysis; analysis new ... See more keywords