Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations
Extrapolated ADI Crank–Nicolson orthogonal spline collocation for coupled Burgers' equations
复制标题
耦合 Burgers 方程的外推 ADI Crank-Nicolson 正交样条配置
DOI：
10.1080/10236198.2019.1701671
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发表时间：
2020
影响因子：
1.1
通讯作者：
B. Bialecki
中科院分区：
文献类型：
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作者：
Nick Fisher;B. Bialecki
我们用外推交替方向隐式Crank-Nicolson正交样条配点法和r阶样条函数来求解两个空间变量和两个未知函数的耦合Burgers型方程。该格式采用交替方向隐式预估-校正方法进行初始化。从理论上证明了每个时间水平的误差范数在空间上是r阶的，在时间上是2阶的。我们的数值结果证实了这些理论顺序。
We use extrapolated alternating direction implicit Crank–Nicolson orthogonal spline collocation with splines of order r to solve the coupled Burgers' equations in two space variables and two unknown functions. The scheme is initialized with an alternating direction implicit predictor–corrector method. We show theoretically that the norm of the error at each time level is of order r in space and of order 2 in time. Our numerical results confirm these theoretical orders.