On Exact Series Solution for Strongly Coupled Mixed Parabolic Boundary Value Problems
作者： Vicente Soler , Emilio Defez , José Antonio Verdoy
DOI: 10.1155/2014/759427
关键词: Mathematics 、 Block matrix 、 Exact solutions in general relativity 、 Series (mathematics) 、 Mathematical analysis 、 Matrix (mathematics) 、 Type (model theory) 、 Boundary value problem 、 Work (thermodynamics) 、 Invertible matrix
摘要: This paper continues with the construction of exact solution for parabolic coupled systems type , and where are arbitrary matrices which block matrix is nonsingular, a positive stable matrix. Although this problem has been solved in literature (Soler et al., 2013), work we using completely new conditions.
hindawi.com参考文章(8)
F. Mrugal/a, Don Secrest, The generalized log‐derivative method for inelastic and reactive collisionsa) Journal of Chemical Physics. ,vol. 78, pp. 5954- 5961 ,(1983) , 10.1063/1.444610
V.S Melezhik, I.V Puzynin, T.P Puzynina, L.N Somov, Numerical solution of a system of integrodifferential equations arising from the quantum mechanical three-body problem with coulomb interaction Journal of Computational Physics. ,vol. 54, pp. 221- 236 ,(1984) , 10.1016/0021-9991(84)90115-3
Millard H. Alexander, David E. Manolopoulos, A stable linear reference potential algorithm for solution of the quantum close‐coupled equations in molecular scattering theory Journal of Chemical Physics. ,vol. 86, pp. 2044- 2050 ,(1987) , 10.1063/1.452154
V. Soler, E. Navarro, M.V. Ferrer, Invariant properties of eigenfunctions for multicondition boundary value problems Applied Mathematics Letters. ,vol. 19, pp. 1308- 1312 ,(2006) , 10.1016/J.AML.2005.06.019
E. Navarro, L. Jódar, M.V. Ferrer, Constructing eigenfunctions of strongly coupled parabolic boundary value systems Applied Mathematics Letters. ,vol. 15, pp. 429- 434 ,(2002) , 10.1016/S0893-9659(01)00154-9
R. D. Levine, M. Shapiro, B. R. Johnson, Transition Probabilities in Molecular Collisions: Computational Studies of Rotational Excitation The Journal of Chemical Physics. ,vol. 52, pp. 1755- 1767 ,(1970) , 10.1063/1.1673214
J. V. Lill, T. G. Schmalz, J. C. Light, Imbedded matrix Green’s functions in atomic and molecular scattering theory Journal of Chemical Physics. ,vol. 78, pp. 4456- 4463 ,(1983) , 10.1063/1.445338
Vicente Soler, Emilio Defez, M. V. Ferrer, J. Camacho, On Exact Series Solution of Strongly Coupled Mixed Parabolic Problems Abstract and Applied Analysis. ,vol. 2013, pp. 1- 9 ,(2013) , 10.1155/2013/524514