TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Weak galerkin finite element method for the linear Schrodinger equation

* ,

* Corresponding author · click or hover a name for details

pp. 919–923Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1529XML
Received:
09 Jun 2022
Accepted:
08 Jul 2022
Published Online:
15 Jul 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1529
Pages:
919–923

Abstract

The numerical technique for 2D time dependent linear Schrodinger equation is the subject of this work. The approximations are produced using the weak Galerkin finite element technique with continous and discrete FEM, on relay , using the backward Euler method in time. Using the elliptic projection operator, we provide L2 error speculation for continues and discretely weak Galerkin finite element.

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

Acknowledgements

Obaid (59_icmas_h23)

References

[1] E. Y. Hajj.: Solution of Schrodinger Equation in two and three dimensional, J. phys. BAT Mo Phys l, 18 (1985).
[2] Huang W., Xu C ., Chu S. T., and Chaudhuri S. K.: The finite-difference vector Bean propagation method, Analysis and Assessment, J. of Light Wave Tech., 10(3), pp. 295-304 (1992).
[3] J. H. He : Homotopy perturbation method, Anew nonlinear analytical technique, Appl. Math and Comp.135, pp. 73-79 (2003).
[4] W. Dia, ‘An unconditional Stable three –level explicit difference scheme for the Schrodinger equation with a variable coefficient’, SIAM. J. Numer. Anal., 29 (174).
[5] Thomee , V.: Galerkin finite element method for parabolic problems.(Springer Series in Computational Mathematics), NJ (1984).
[6] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.

Views: 163Downloads: 7Citations: 0