Restrictive padé approximation for the solution of the schrödinger equation

International Journal of Computer Mathematics

Volumn 79, Issue 5, 2002, Pages 603-613

  Ismail, Hassan N A ^a   Elbarbary, Elsayed M E ^b,d   Elbietar, Amal A ^c  

^a BENHA UNIVERSITY   (Egypt)

^b Ain Shams University   (Egypt)

^c ZAGAZIG UNIVERSITY   (Egypt)

^d Al Jouf Teacher College   (Saudi Arabia)

Author keywords

Complex tridiagonal systems; Finite difference; Restrictive Pad approximation; Schr dinger equation

Indexed keywords

FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

COMPLEX TRIDIAGONAL SYSTEM; FINITE DIFFERENCE; RESTRICTIVE PADÉ APPROXIMATION; SCHRÖDINGER EQUATIONS;

APPROXIMATION THEORY;

EID: 1842440625     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160210951     Document Type: Article

References (8)

1. Evans, D. J. and Roomi, A. S. (1990). "A note on the numerical solution of the Schrödinger equation", Intern. J. Computer Math. 35 169-174.
2. Herzberg, G. (1950). Spectral of Diatomic Molecules (Van Nostrand, Toronto).
3. Elbarbary, E. M. E. (2001). Accelerating Technique for Implicit Finite Difference Schemes for Two Dimensional Parabolic Partial Differential Equations, Intern. J. Computer Math 77, 135-145.
4. Ismail, H. N. A. and Elbarbary, E. M. E. (1998). "Restrictive Padé approximation and parabolic partial differential equations", Intern. J. Computer Math. 66, 343-351.
5. Ismail, H. N. A. and Elbarbary, E. M. E. (1999). "Highly accurate method for the convection-diffusion equation", Intern. J. Computer Math. 72, 271-280.
6. Ismail, H. N. A., Elbarbary, E. M. E. and Younes, A. Y. H. (2001). "Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations", Intern. J. Computer Math. 77, 251-261.
7. Landau, L. D. and Lifshitz, F. M. (1965). Quantum Mechanics (Pergamon, New York).
8. Mitchell, A. R. (1969). Computational Methods in Partial Differential Equations (John Wiley and Sons Ltd., London).