A Reliable Algorithm for Fractional Schrödinger Equations

Authors

  • Abid KAMRAN Department of Mathematics, HITEC University, Taxila Cantt
  • Umer HAYAT Department of Mathematics, HITEC University, Taxila Cantt
  • Ahmet YILDIRIM Department of Mathematics and Statistics, University of South Florida, Tampa
  • Syed Tauseef MOHYUD-DIN Department of Mathematics, HITEC University, Taxila Cantt

Keywords:

Homotopy perturbation method, fractional Schrödinger partial differential equations, nonlinear problems, exact solution

Abstract

In this paper, the Homotopy Perturbation Method (HPM) is applied to find exact solutions of time-fractional Schrödinger equations. Numerical results coupled with graphical representations explicitly reveal the complete reliability and efficiency of the proposed algorithm.

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Author Biographies

Abid KAMRAN, Department of Mathematics, HITEC University, Taxila Cantt

Department of Mathematics, HITEC University

Umer HAYAT, Department of Mathematics, HITEC University, Taxila Cantt

Department of Mathematics, HITEC University

Ahmet YILDIRIM, Department of Mathematics and Statistics, University of South Florida, Tampa

Ege University, Department of Mathematics

Syed Tauseef MOHYUD-DIN, Department of Mathematics, HITEC University, Taxila Cantt

Department of Mathematics, HITEC University

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Published

2012-03-30

How to Cite

KAMRAN, A., HAYAT, U., YILDIRIM, A., & MOHYUD-DIN, S. T. (2012). A Reliable Algorithm for Fractional Schrödinger Equations. Walailak Journal of Science and Technology (WJST), 10(4), 405–413. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/274

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Research Article

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