摘要
对包括阻尼Burgers方程、柱Burgers方程和球Burgers方程在内的一类Burgers方程进行了求解,得到了这类方程的一个近似解析解.结果表明,波的振幅和速度都随时间的变化而减小.对所得解析解与数值解进行比较,结果表明两者符合得非常好.
An approximation analytical solution is obtained for a class of equations, which involve the damped Burgers equation, the cylindrical Burgers equation and the spherical Burgers equation. The results indicate that the amplitude and the velocity of the waves decrease as time increases. Comparing the analytical solutions to the corresponding numerical solutions, the results indicate that the solutions are agreement very well.
出处
《西北师范大学学报（自然科学版）》
CAS
2007年第4期37-40,59,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10247008)
