宁夏大学学报（自然科学版）2012，Vol.33Issue(2)：140-143,4.
定常对流扩散反应方程的指数型高阶差分格式
High-order Exponential Finite Difference Method for 1D Convection-diffusion-reaction Equation
摘要
Abstract
An exponential high-order difference scheme is proposed to solve the one-dimensional convection diffusion reaction equation. Firstly the model equation's general solution is got by using the variation of constants method, and an exponential difference scheme of the model equation is constructed by using of the exact solution evaluated at nodal points X-1, ,x1, and x1+1 . And then, applying second-order Taylor expansion for source term, the final exponential high order difference scheme is obtained. The algorithm is verified by three numerical examples.关键词
对流扩散反应方程/常数变易法/泰勒展开/指数型高阶差分格式Key words
convection-diffusion-reaction equation/ variation of constants method/ Taylor expansion/ exponential high-order difference scheme分类
数理科学引用本文复制引用
魏剑英..定常对流扩散反应方程的指数型高阶差分格式[J].宁夏大学学报（自然科学版）,2012,33(2):140-143,4.基金项目
国家自然科学基金资助项目(10972058,11061025) （10972058,11061025）
教育部科学技术研究重点项目(210239) （210239）
霍英东教育基金会高等院校青年教师基金资助项目(121105) （121105）
