Sturm-Liouville特征值问题的多区域Legendre-Galerkin-Chebyshev配置法  

Multidomain Legendre-Galerkin-Chebyshev collation method for Sturm-Liouville eigenvalue problem

作　　者：李珊[1] 吴华[2] 王春丽[2] 

机构地区：[1]上海理工大学理学院,上海200093 [2]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3期429-436,共8页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11571225;11526142);上海市自然科学基金资助项目(13ZR1416700);上海高校青年教师培养资助计划(ZZs115053)

摘　　要：提出了求解Sturm-Liouville特征值问题的多区域Legendre-Galerkin-Chebyshev的配置方法.该方法将问题的求解区间分成若干小区间,在小区间上运用Legendre-Galerkin-Chebyshev的配置方法求解,结合了Legendre-Galerkin方法和Chebyshev配置法的优点.数值算例显示了该方法的有效性.The multidomain Legendre-Galerkin-Chebyshev collation method is presented for approximating the eigenvalues of the Sturm-Liouville problem. The method divides the region of the problem into subintervals and then uses the Legendre-Galerkin-Chebyshev collation method on each of them, which combines with the advantages of the Legendre-Galerkin method and the Chebyshev collocation method. Numerical results show that the method works well.

关 键 词：Sturm—Liouville特征值问题 多区域Legendre-Galerkin-Chebyshev的配置方法 

分 类 号：O241.82[理学—计算数学]