Numerical solution of semidifferential equations by collocation method

Applied Mathematics and Computation

Volumn 174, Issue 2, 2006, Pages 869-876

  Rawashdeh, E A ^a  

^a YARMOUK UNIVERSITY   (Jordan)

Author keywords

Collocation method; Fractional differential equation; Spline space

Indexed keywords

NUMERICAL METHODS; SPLINES;

COLLOCATION METHOD; FRACTIONAL DIFFERENTIAL EQUATIONS; SPLINE SPACE;

DIFFERENTIAL EQUATIONS;

EID: 33644585616     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.05.029     Document Type: Article

References (11)

1. L. Blank, Numerical treatment of differential equation of fractional order, MCCM Numerical Analysis Report No. 287. The university of Manchester, 1996.
2. K. Diethelm, and N.J. Ford Numerical solution of the Bagley-Torvik equation BIT 42 2002 490 507
3. K. Diethelm, and N.J. Ford Analysis of fractional differential equation J. Math. Anal. Appl. 265 2002 229 248
4. K. Diethelm, and A.D. Freed On the solution of nonlinear fractional-order differential equation used in the modeling of viscoplasticity F. Keil W. Mackens H. Voss J. Werther Scientific Computing in Chemical Engineering II- Computational Fluid Dynamics, Reaction Engineering and Molecular Properties 1999 Springer-Verlag Heidelberg 217 224
5. L. Gaul, P. Klein, and S. Kempfle Damping and description involving fractional operators Mech. Systems Signal Processing 5 1991 81 88
6. W.G. Glockle, and T.F. Nonnenmacher A fractional calculus approach to self-similar protein dynamics Biophys. J. 68 1995 46 53
7. F. Mainardi Fractional calculus: Some basic problems in continuum and statistical mechanics A. carpinteri F. Mainardi Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer-Verlag Wien 291 348
8. K.S. Miller, and B. Ross An Introduction to the Fractional Calculus and Fractional Differential Equations 1993 John Wiley and Sons New York
9. I. Podlubny S. Elaydi I. Gyori G. Laas Numerical Solution of Ordinary Fractional D. E by the Fractional Difference Method, Advances in Difference Equation 1997 Gordon Breach Amsterdam 507 516
10. I. Podlubny Fractional Differential Equations 1999 Academic Press San Diego
11. S.G. Samko, A.A. Kilbas, and O.I. Marichev Fractional Integrals and Derivatives 1993 Gorden and Breach Science Publishers Berlin