摘要
本文提出了求解一维非稳态变系数对流扩散方程的变限积分法,结合二元六点Lagrange插值,构造了混合精度的隐式离散格式,利用Fourier分析证明了该方法的无条件稳定性。数值算例展示了该方法求解变系数对流扩散方程的有效性。
In this paper,a variable limit integral method for solving one-dimensional unsteady convection-diffusion equation with variable coefficients was proposed.Combined with the binary six-point Lagrange interpolation,an implicit discrete scheme with mixed accuracy was constructed.The unconditional stability of the method was proved through the Fourier analysis.Numerical examples demonstrated the effectiveness of the method in solving the convection-diffusion equation with variable coefficients.
作者
胡学佳
玉林
王桂霞
王雅楠
HU Xuejia;Yulin;WANG Guixia;WANG Yanan(College of Mathematical Science,Inner Mongolia Normal University,Hohhot 010022,China;College of Applied Mathematics Center,Inner Mongolia Normal University,Hohhot 010022,China;College of International Academy of Design and Art,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《内蒙古农业大学学报（自然科学版）》
CAS
2022年第4期108-113,共6页
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金
国家自然科学基金项目(11962026)
内蒙古自治区自然科学基金项目(2019LH01001,2020MS01018)
内蒙古自治区高等学校科学研究项目(NJZZ210003,NJZY21570)
内蒙古师范大学研究生科研创新基金项目(CXJJS20088)
关键词
对流扩散
变系数
变限积分法
LAGRANGE插值
Convection diffusion
Variable coefficient
Variable limit integral method
Lagrange’s interpolation
