On the Exact Solution of a Class of Homogeneous Strongly Coupled Mixed Parabolic Problems

被引:0
作者
Defez, Emilio [1 ]
Soler, Vicente [2 ]
Romero-Vivo, Sergio [1 ]
Verdoy, Jose Antonio [1 ]
机构
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain
[2] Univ Politecn Valencia, Dept Matemat Aplicada, Camino Vera S-N, E-46022 Valencia, Spain
关键词
Coupled diffusion problems; Coupled boundary conditions; Vector boundary-value differential systems; Sturm-Liouville vector problems; Projections; EQUATIONS;
D O I
10.2298/FIL1903897D
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper an exact series solution for homogeneous parabolic coupled systems is constructed using a projection method. An illustrative example is given.
引用
收藏
页码:897 / 915
页数:19
相关论文
共 17 条
[1]   A STABLE LINEAR REFERENCE POTENTIAL ALGORITHM FOR SOLUTION OF THE QUANTUM CLOSE-COUPLED EQUATIONS IN MOLECULAR-SCATTERING THEORY [J].
ALEXANDER, MH ;
MANOLOPOULOS, DE .
JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (04) :2044-2050
[2]  
[Anonymous], 1971, Ordinary Differential Equations
[3]  
[Anonymous], 1971, Generalized Inverses of Matrices and its Applications
[4]  
Campbell S. L., 1979, GEN INVERSES LINEAR
[5]  
Crank J., 1995, MATH DIFFUSION
[6]  
Dunford N., 1977, LINEAR OPERATORS 1
[7]  
Hueckel T., 1987, MODELLING COUPLED TH
[8]   Exact and analytic-numerical solutions of strongly coupled mixed diffusion problems [J].
Jódar, L ;
Navarro, E ;
Martin, JA .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2000, 43 :269-293
[9]   TRANSITION PROBABILITIES IN MOLECULAR COLLISIONS - COMPUTATIONAL STUDIES OF ROTATIONAL EXCITATION [J].
LEVINE, RD ;
SHAPIRO, M ;
JOHNSON, BR .
JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (04) :1755-&
[10]   IMBEDDED MATRIX GREEN-FUNCTIONS IN ATOMIC AND MOLECULAR-SCATTERING THEORY [J].
LILL, JV ;
SCHMALZ, TG ;
LIGHT, JC .
JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (07) :4456-4463