摘要
本文利用对时间差分,对空间一维单元内线化常微分方程求局部解析解的方法,建立了Bur-gers方程的混合有限解析格式,证明了这一格式的某些性质。实算表明有很好的精度与稳定性。
In this paper, the unsteady term in Burgers Equation is approximated by a simple difference formula, and the nonlinear term is linearized locally. Using exact Solution in local element for linearized equation, the Hybrid FAM schemes for solving Burgers Equation are established. Some theoretical properties of these schemes are proved. Several Numerical Examples are presented. The accuracy and stability of computational results are significanty good.
