Numerical Solution Method of Burgers Equation Using Barycentric Interpolation
The meshless numerical method of Burgers equation is solved using barycentric interpolation con-struction.The equation is discretized using the Crank-Nicolson difference method in the time direction.The function is approximated to itself and so is its spatial derivative using barycentric interpolation Chebyshev collo-cation method in spatial direction.The compatibility analysis of the fully discrete numerical value scheme is perfomed.Numerical experiments show that,compared with the classical finite difference method,the bary-centric interpolation collocation method can achieve higher accuracy with fewer nodes.
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