对流方程的一种新数值解法  

A New Numerical Method for the Solution of Convection Equation

作　　者：黄鹏展[1] 阿布都热西提.阿布都外力 赵建平[1] 

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《水资源与水工程学报》2009年第4期6-8,共3页Journal of Water Resources and Water Engineering

基　　金：国家自然科学基金(10571148);新疆高校科研计划资助(XJEDU2007I02);新大青年科研启动基金(QN070102)

摘　　要：运用修正局部Crank-Nicolson方法解流方程,得到了一种新的计算简单、无条件稳定的显式格式。计算结果表明,新格式的计算结果与精确解吻合较好,与原Crank-Nicolson格式相比计算误差明显改善。The Modified Local Crank-Nicolson method being used to solve the convection equation,a new display mode with simple calculation,unconditional and stability has been obtained.The computed results have shown that the new mode is in excellent agreement.Compared with the original Crank-Nicolson method,the error of this method has a significant improvement.

关 键 词：对流方程 修正局部Crank-Nicolson法 显式格式 稳定性分析 

分 类 号：TV131.2[水利工程—水力学及河流动力学]