求解Fisher型方程的混合Legendre-球面调和谱方法  

Mixed Legendre-spherical harmonic spectral method for Fisher-like equation

作　　者：夏文杰[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》2014年第1期26-32,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：主要研究两同心球所界球形区域上偏微分方程的谱方法,建立了与区域形状相适应的混合Legendre-球面调和正交逼近的部分结果,在此基础上提出了数值求解两同心球所界球形区域上Fisher型方程的混合Legendre-球面调和谱格式,并分别给出了格式的收敛性及相关的数值结果.The spectral method of partial differential equations in a ball-like region between two concentric balls is researched, and some results of the mixed Legendre- spherical harmonic approximation in this region are obtained based on which a mixed Legendre-spherical harmonic spectral scheme is proposed for the Fisher-like equation in a ball-like region between two concentric balls. The convergence of the schemes is proved, and numerical results are presented to show the efficiency and effectiveness.

关 键 词：混合Legendre-球面调和谱方法 FISHER型方程 球形区域 

分 类 号：O241.82[理学—计算数学]