用时间方向二阶精度的混合Jacobi-球面调和拟谱方法求解Fisher型方程  

A second-order accurate mixed Jacobi-spherical harmonic spectral pseudospectral method for Fisher-like equation

作　　者：郭姗[1] 黄伟[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2016年第2期215-221,共7页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11176015);上海市教育委员会重点学科建设资助项目(J50101);上海市重点学科建设资助项目(S30104)

摘　　要：提出了用时间方向二阶精度的混合Jacobi-球面调和拟谱方法求解单位球内的Fisher型方程,即在半径方向选择Gauss-Radau型插值逼近,球面方向选择球面调和插值逼近,而时间方向的导数采用中心差商离散.给出了误差估计的相关结论,并以数值结果显示所论述方法的高精度.The Fisher-like equation in the unit ball is solved by a second-order accurate mixed Jacobi-spherical harmonic pseudospectral method,in which the radial direction is approximated by the Guass-Radau interpolation,the spherical direction is approximated by the spherical harmonic interpolation,and the time derivative is discretized with the central difference quotient.The numerical error estimation is given.Numerical results are presented to show the effectiveness of the proposed method.

关 键 词：Jacobi-球面调和拟谱方法 时间方向二阶精度 FISHER型方程 单位球内 

分 类 号：O241.82[理学—计算数学]