西北师范大学学报（自然科学版）2024，Vol.60Issue(2)：29-36,8.DOI:10.16783/j.cnki.nwnuz.2024.02.006
一类求解非线性对流扩散方程的线性多步法
A second-order linear multi-step method for solving nonlinear convection-diffusion equations
摘要
Abstract
A new scheme is developed for the nonlinear convection-diffusion equations in this paper.Based on the central difference and linear multi-step method,the proposed scheme achieves second-order accuracy in temporal and spatial variables.By using the Fourier method and freezing coefficient method,the stability of the proposed method is analyzed.Finally,numerical results illustrate the performance of the new scheme and support the theoretical properties of the estimator.关键词
非线性对流扩散方程/中心差商/线性多步法/Fourier分析/冻结系数法Key words
nonlinear convection diffusion equation/central difference/linear multi-step method/Fourier analysis/freezing coefficient method分类
数理科学引用本文复制引用
张莉,罗春林,张瀚月..一类求解非线性对流扩散方程的线性多步法[J].西北师范大学学报（自然科学版）,2024,60(2):29-36,8.基金项目
四川省科技计划资助项目(2022JDTD0019) （2022JDTD0019）
