Sinc-Galerkin solution for nonlinear two-point boundary value problems with applications to chemical reactor theory

Mathematical and Computer Modelling

Volumn 42, Issue 11-12, 2005, Pages 1237-1244

  Saadatmandi, A ^a   Razzaghi, M ^a,b   Dehghan, M ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Chemical; Galerkin; Reactor; Sinc; Two point

Indexed keywords

BOUNDARY VALUE PROBLEMS; CHEMICAL REACTORS; NONLINEAR EQUATIONS;

GALERKIN; REACTOR; SINC; TWO-POINT;

GALERKIN METHODS;

EID: 28844464738     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.04.008     Document Type: Article

References (12)

1. N.M. Madbouly, D.F. McGhee, and G.F. Roach Adomian's method for Hammerstein integral equations arising from chemical reactor theory Applied Mathematics and Computation 117 2001 249 341
2. A. Poore A tubular chemical reactor model A Collection of Nonlinear Model Problems Contributed to the Proceeding of the AMS-SIAM 1989 28 31
3. R. Heinemann, and A. Poore Multiplicity stability and oscillatory dynamics of the tubular reactor Chemical Engineering Science 36 1981 1411 1419
4. R. Heinemann, and A. Poore The effect of activiation energy on tubular reactor multiplicity Chemical Engineering Science 37 1982 128 131
5. F. Stenger Numerical Methods Based on Sinc and Analytic Functions 1993 Springer-Verlag New York
6. J. Lund, and K. Bowers Sinc Methods for Quadrature and Differential Equations 1992 SIAM New York
7. J. Lund, and C. Vogel. A Fully-Galerkin method for the solution of an inverse problem in a parabolic partial differential equation. numerical solution of an inverse Inverse Problems 6 1990 205 217
8. R. Smith, and K. Bowers A Sinc-Galerkin estimation of diffusivity in parabolic problems Inverse Problems 9 1993 113 135
9. B. Bialecki Sinc-collocation methods for two-point boundary value problems IMA J. Numer. Anal 11 1991 357 375
10. D.F. Winter, K. Bowers, and J. Lund Wind-driven currents in a sea with a variable Eddy viscosity calculated via a Sinc-Galerkin technique Internt. J. Numer. Methods Fluids 33 2000 1041 1073
11. M.S. Sababheh, and A.M.N. Al-khaled Some convergence results on Sinc interpolation J. Inequal. Pure and Appl. Math 4 2003 32 48
12. J.L. Mueller, and T.S. Shores A new Sinc-Galerkin method for convection-diffusion equations with mixed boundary conditions Computers Math. Applic. 47 4/5 2004 803 822