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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Numerical simulation of the coupled viscous Burgers equation using the Hermite formula and cubic B-spline basis functions
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Numerical simulation of the coupled viscous Burgers equation using the Hermite formula and cubic B-spline basis functions

机译：使用Hermite公式和立方B样条函数耦合粘性磨损器方程的数值模拟

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摘要

A numerical procedure dependent on the cubic B-spline and the Hermite formula is developed for the coupled viscous Burgers' equation (CVBE). The method uses a combination of the Hermite formula and the cubic B-spline for discretization of the space dimension while the time dimension is approximated using the typical finite differences. A piecewise continuous sufficiently smooth function is obtained as a solution which allows to approximate solution at any location in the domain of interest. The scheme is tested for stability analysis and is proved to be unconditionally stable. Numerical experiments and comparison of outcomes reveal that the suggested scheme comes up with better accuracy and is extremely productive.
机译：基于三次B样条和埃尔米特公式，建立了耦合粘性伯格斯方程（CVBE）的数值计算方法。该方法将Hermite公式与三次B样条相结合，用于空间维度的离散化，而时间维度则使用典型的有限差分法进行近似。一个分段连续的足够光滑的函数被作为一个解，它允许在感兴趣的域中的任何位置近似解。通过稳定性分析，证明该方案是无条件稳定的。数值实验和结果比较表明，该方案具有较高的精度和高效性。

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