【摘要】 本文研究了反应－对流－扩散方程的一种差分格式及其迭代解法在等距网格情况下的局部截断误差、稳定性条件及非线性方程组的适定性,基于拟线性化的思想,建立了一个迭代解法并证明了其收敛性。更多还原

【Abstract】 In this paper, a kind of scheme of one-dimension reaction-convection-diffusion equation is dis-cussed. The local truncation error, the condition of stability and the uniqueness of solution of nonlinear equationgroup for equivalent step size are determined respectively. On the ground of quasilinearization, a iterative method isestablished, and its convergence is proved.更多还原