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Original Articles

Initial value methods for the primary two point boundary value problems in modeling viscoelastic flows

Pages 379-390 | Received 19 Feb 1999, Published online: 19 Mar 2007

References

  • Davies , A. R. , Karageorghis , A. and Phillips , T. N. 1988 . Spectral Galerkin Methods for the Primary Two Point Boundary Value Problem in Modeling Viscoelastic Flows . Int. J. Numer. Methods Eng. , 26 : 647 – 662 .
  • Karageorghis , A. , Phillips , T. N. and Davies , A. R. 1988 . Spectral Collocation Methods for the Primary Two Point Boundary Value Problem in Modeling Viscoelastic Flows . Int. J. Numer. Methods Eng. , 26 : 805 – 813 .
  • Attili , B. S. , Elgindi , M. B. M. and El-Gebeily , M. A. 1997 . Initial Value Methods for the Eigenelements of Singular Two Point Boundary Value Problems . A. J. S. E. , 22 ( 2c ) : 67 – 77 .
  • Attili , B. S. 1993 . On the Numerical Implementation of the Shooting Methods to the One Dimensional Singular Boundary Value Problems . Intern. J. Computer Math. , 47 ( 2c ) : 65 – 75 .
  • De Hoog , F. and Weiss , R. 1985 . The application of Runge-Kutta Schemes to Singular Initial Value Problems . Math. Comp. , 44 : 93 – 103 .
  • Marchal , J. M. and Crochet , M. J. 1986 . Hermitian Finite Elements for Calculating Visco-Elastic Flow . J. Non-Newtonian Fluid Mech. , 20 : 187 – 208 .
  • Elgindi , M. B. and Langer , R. W. 1994 . On the Shooting Method for a Class of Two Point Singular Nonlinear Boundary Value Problems . Inter. J. Computer Math. , 51 : 107 – 118 .

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