The Solvability of First Type Boundary Value Problem for a Schrödinger Equation-Reference-Cited by-同舟云学术

The Solvability of First Type Boundary Value Problem for a Schrödinger Equation

Published:2020-01-01 Issue:1 Volume:5 Page:211-220
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Aksoy Nigar Yildirim¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences and Arts , Kafkas University , 36100 , Kars , Turkey

Abstract

Abstract The paper presents an first type boundary value problem for a Schrödinger equation. The aim of paper is to give the existence and uniqueness theorems of the boundary value problem using Galerkin’s method. Also, a priori estimate for its solution is given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.1.00019

Reference25 articles.

1. G. D. Akbaba, (2011), The optimal control problem with lions functional for the Schrödinger equation containing gradient with imaginary coefficient, Kafkas University, Inst. of Sci.&Tech., Master Thesis.

2. A. K. Alomari, M. S. M. Noorani and R. Nazar, (2009), Explicit series solutions of some linear and nonlinear Schrödinger equations via the homotopy analysis method, Communications in Nonlinear Science and Numerical Simulation, 14 (4), 1196–1207.

3. J. Biazar and H. Ghazvini, (2007), Exact solutions for non-linear Schrödinger equations by He’s homotopy perturbation method, Physics Letters A., 366 (1–2), 79–84.

4. B. Ghanbari, (2014), An analytical study for (2+1)- Dimensional Schrödinger Equation, The Scientific World Journal, http://dx.doi.org/10.1155/2014/438345.

5. J. H. He, (2005), Application of homotopy perturbation method to nonlinear wave equation, Chaos, Solitons and Fractals, 26, 695–700.

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