Constructive stable numerical solutions for strongly coupled diffusion mixed partial differential systems

References

• Camacho , J. , Ferrer , M.V. and Navarro , E. 1997 . Analytic-numerical solutions with a prefixed accuracy for partial differential systems with coupled separated boundary value conditions . Appl. Sci Comput , 4 ( 2 ) : 104 – 116 .
   Google Scholar
• Camacho , J. , Jódar , L. and Navarro , E. 1998 . Exact solution of coupled mixed diffusionproblems with coupled boundary conditions . Mathi. Comput. Modelling , 28 ( 1 ) : 65 – 76 .
   Web of Science ®Google Scholar
• Campbell , S.L. and Meyer , C.D. Jr . 1979 . Generalized Inverses of Linear Transformations , London : Pitman .
   Google Scholar
• Chiu , H.H. 1969 . Theory of irreducible linear systems . Quart, AppL Math , XXVII : 87 – 104 .
   Google Scholar
• Courant , R. and Hilbert , D. 1962 . Methods of Mathematical Physics, II, Interscience New York
   Google Scholar
• Dunferd , N. and Schwartz , J. 1957 . Linear Operators, Part I, Interscience New York
   Google Scholar
• Godement , R. 1957 . Course D′Algebre , Paris : Hermann .
   Google Scholar
• Jódar , L. and Legua , M. 1991 . Resolución numerica de sistemas acoplados de ecuadones en derivadas parciales . Rev. Int. Métodos Numer. Cálculo y Dis. en Ing , 7 ( 3 ) : 289 – 299 .
   Google Scholar
• Legua , M. , ódar , L. and Law , A.G. 1992 . “ Existence of numerical solutions for singular partial differential systems ” . In Iterative Methods in Linear Algebra , Edited by: Beauwens , R. and De Groen , P. 395 – 400 . Elsevier .
   Google Scholar
• Mikhailov , M.D. and Ösizik , M.N. 1984 . Unified Analysis and Solutions of Heat and Mass Diffusion , New York : John-Wiley .
   Google Scholar
• Mirsky , L. 1990 . An Introduction to linear Algebra , New York : Dover .
   Google Scholar
• Moler , C.B. 1980 . “ MATLAB User's guide ” . In Comput. Sci. Depart , Alburquerque, NM : Univ. of New Mexico . Technical Report CS81-1
   Google Scholar
• Ortega , J.M. 1972 . Numerical Analysis, A Second Course , New York : Academic Press .
   Google Scholar
• Ösizik , M.N. 1994 . Finite Difference Methods in Heat Transfer , London : CRC Press .
   Google Scholar
• Pickering , M. 1988 . An introduction to Fast Fourier Transform methods for partial differential equations with applications , Research Studies Press,John-Wiley .
   Google Scholar
• Rao , C.R. and Mitra , S.K. 1971 . Generalized Inverse of Matrices and its Applications , New York : John-Wiley .
   Google Scholar
• Sirovich , L. 1988 . “ Introduction to Applied Mathematics ” . In Texts in Applied Maths.1 , New York : Springer-Verlag .
   Google Scholar
• Smith , G.D. 1978 . Numerical Solution of Partial Differential equation: Difference Methods , Oxford : Oarendon Press .
   Google Scholar