Journal ArticleDOI
Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations
TLDR
A new method to solve the coupled viscous Burgers' equations can obtain higher accuracy with fewer nodes, and several numerical examples show the high accuracy of this method.Abstract:
The coupled viscous Burgers' equations have been an interesting and hot topic in mathematics and physics for a long time, and they have been solved by many methods. In order to make the numerical s...read more
Citations
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Journal ArticleDOI
Numerical Solution of a Class of Nonlinear Partial Differential Equations by Using Barycentric Interpolation Collocation Method
Hongchun Wu,Yulan Wang,Wei Zhang +2 more
TL;DR: In this paper, the meshless barycentric interpolation collocation method (MBICM) was proposed for solving a class of PDEs and four numerical experiments were carried out and compared with other methods; the accuracy of the numerical solution obtained by the present method was obviously improved.
Journal ArticleDOI
Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method
TL;DR: Barycentric Lagrange interpolation collocation collocation method is given and illustrated with hyperchaotic system and Numerical simulations are used to verify the effectiveness of the present method.
Journal ArticleDOI
Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method
TL;DR: Numerically simulates three-dimensional Kolmogorov model with chaotic dynamic behavior by barycentric Lagrange interpolation collocation method to indicate that the method has merits of small operations and good numerical stability.
Journal ArticleDOI
Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations
Hongyan Liu,Jin Huang,Wei Zhang +2 more
TL;DR: This paper applies an algorithm based on two dimensional extension of barycentric Lagrange interpolant for solving two dimensional integro-differential equations (2D-IDEs) numerically.
Posted Content
Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme
TL;DR: In this article, an explicit numerical finite difference scheme for solving non-linear advection-diffusion equations admitting shock solutions that is both easy to implement and stable is presented. But the numerical scheme is obtained by considering the continuum limit of a discrete time and space stochastic process.
References
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Journal ArticleDOI
Barycentric Lagrange Interpolation
TL;DR: Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable and deserves to be known as the standard method of polynometric interpolation.
Journal ArticleDOI
Barycentric rational interpolation with no poles and high rates of approximation
Michael S. Floater,Kai Hormann +1 more
TL;DR: In this article, a family of barycentric rational interpolants that have no real poles and arbitrarily high approximation orders on any real interval, regardless of the distribution of the points are studied.
Journal ArticleDOI
Variational iteration method for the Burgers' flow with fractional derivatives—New Lagrange multipliers
TL;DR: The variational iteration method was extended to find approximate solutions of fractional differential equations with the Caputo derivatives, but the Lagrange multipliers of the method were not identified explicitly.
Journal ArticleDOI
Numerical solution of the coupled viscous Burgers’ equation
R. C. Mittal,Geeta Arora +1 more
TL;DR: In this paper, a numerical method is proposed for the numerical solution of a coupled system of viscous Burgers' equation with appropriate initial and boundary conditions, by using the cubic B-spline collocation scheme on the uniform mesh points.
Journal ArticleDOI
An explicit solution of coupled viscous Burgers' equation by the decomposition method
TL;DR: In this article, the authors consider a coupled system of viscous Burgers' equations with appropriate initial values using the decomposition method and calculate the solution in the form of a convergent power series with easily computable components.
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