非线性对流占优扩散方程的特征有限体积算法  

The characteristic finite volume element for 1D nonlinear convection dominated-diffusion equation

作　　者：龚春琼[1] 秦新强[1] 魏红记[1] 张爱君[1] 

机构地区：[1]西安理工大学理学院,陕西西安710048

出　　处：《纺织高校基础科学学报》2006年第1期39-42,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10371069);西安理工大学基金资助项目(108-210415)

摘　　要：对于非线性对流占优扩散方程,利用特征线法和有限体积法,构造了特征有限体积算法,并进行了误差分析.理论分析和数值算例表明,在收敛阶保持不变的情况下,此算法既消除了数值震荡现象,又达到了简化计算的目的.A scheme of characteristic finite volume method for solving nonlinear convection-dominated equations is constructed. The new scheme can reduce the numerical oscillations of the convection-dominated equations and simplify calculation. Convergence analysis and error estimates are also established. The numerical example result shows that the algorithm is effective.

关 键 词：对流扩散方程 特征有限体积法 误差估计 

分 类 号：O241.8[理学—计算数学]