136
Views
12
CrossRef citations to date
0
Altmetric
Miscellany

Unconditionally stable C1-cubic spline collocation method for solving parabolic equations

, &
Pages 813-821 | Received 16 Oct 2003, Published online: 25 Jan 2007

References

References

  • Smith GD (1992) Numerical Solution of Partial Differential Equations: Finite Difference Methods 3rd Ed. Oxford University Press Oxford, New York
  • Thomas JW (1995) Numerical Partial Differential Equations: Finite Difference Methods, Springer-Verlag New York
  • Berzins , M , Capon , PJ and Jimack , PK . (1998) . On spatial adaptivity and interpolation when using the method of lines . Appl. Numer. Math. , 26 : 117 – 133 .
  • Chawla , MM , Al-Zanaidi , MA and Evans , DJ . (1998) . Generalized trapezoidal formulas for parabolic equations . Int. J. Comput. Math. , 70 : 429 – 443 .
  • Sallam , S and Naim Anwar , M . (2000) . Stabilized cubic C1-spline collocation method for solving first-order ordinary initial value problems . Int. J. Comput. Math. , 74 : 87 – 96 .
  • Dekker J Verwer JG (1984) Stability of Runge–Kutta Methods for Stiff Nonlinear Differential Equations, North-Holland Amsterdam
  • Blue , JL . (1970) . Rational aproximations to matrix exponential for systems of differential equations . J. Comput. Phys. , 5 : 70 – 83 .
  • Saad Y (1992) Large Scale Nonsymmetric Eigenvalue Problems, John Wiley and Sons New York

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.