数学
间断(语言学)
勒让德多项式
伽辽金法
切比雪夫滤波器
搭配(遥感)
切比雪夫多项式
应用数学
间断伽辽金法
数学分析
搭配法
切比雪夫方程
正交配置
有限元法
微分方程
正交多项式
经典正交多项式
地质学
物理
热力学
遥感
常微分方程
作者
Heping Ma,Yonghui Qin,Qiuli Ou
标识
DOI:10.1016/j.apnum.2016.09.010
摘要
The multidomain Legendre–Galerkin Chebyshev-collocation method is considered to solve one-dimensional linear evolution equations with two nonhomogeneous jump conditions. The scheme treats the first jump condition essentially and the second one naturally. We adopt appropriate base functions to deal with interfaces. The proposed method can be implemented in parallel. Error analysis shows that the approach has an optimal convergence rate. The proposed method is also applied to computing the one-dimensional Maxwell equation and the one-dimensional two phase Stefan problem, respectively. Numerical examples are given to confirm the theoretical analysis.
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