【摘要】 对一类特殊的非线性反应扩散方程进行完全离散,得到非线性的有限差分格式。然后引入新的步长函数空间,并在这个空间上,采用变分近似法讨论该格式的稳定性问题。在给出非线性有限差分格式的稳定性条件时,所使用方法非常简单和有效。更多还原

【Abstract】 In the article,the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.Then the new step function space is introduced and stability problem for the finite difference scheme is discussed by means of variational approximation method.The approach used is extraordinary simpleness and availability in gaining the stability condition of the scheme.更多还原