Picard and Homotopy Perturbation Methods for Solving the Time-Fractional Schrödinger Equations | ||||
| Delta Journal of Science | ||||
| Article 1, Volume 42, Issue 1, December 2020, Page 1-14 PDF (1.91 MB) | ||||
| Document Type: Research and Reference | ||||
| DOI: 10.21608/djs.2020.139824 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| E. E. Eladdad; S. M. Aljawazneh | ||||
| Department of Mathematics, Faculty of Science, Tanta University,Egypt. | ||||
| Abstract | ||||
| The time-dependent Schrödinger wave equation is the basic partial differential equation of quantum field theory. The study of this equation and its applications play an exceptionally important function in modern physics. From a mathematical point of view, the time-dependent Schrödinger equation is a commutable as mathematics itself. The newest analytical methods to solve linear and nonlinear differential equation is the Homotopy Perturbation Method (HPM) developed to the time-fraction Schrödinger wave equation, which is a combination of homotopy transformation and perturbation. Furthermore, Picard Method (PM) is applied to formulate an approximate iterative solution of the time-fraction Schrödinger equation. | ||||
| Keywords | ||||
| Picard method, Homotopy perturbation the method, Timefractional; Schrödinger equations | ||||
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