Computation of Green’s functions through algebraic decomposition of operators

Boundary value problems

F Adrin F Tojo¹ 

[1] Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain

关键词: Green’s functions;    ODE;    reflection;    decomposition;    34Bxx;    47Lxx;    34Kxx;   

DOI  :  10.1186/s13661-016-0671-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we use linear algebra to improve the computational time for obtaining Green’s functions of linear differential equations with reflection (DER). This is achieved by decomposing both the ‘reduced’ equation (the ODE associated with a given DER) and the corresponding two-point boundary conditions.

【 授权许可】

CC BY