Numerical Solution of Time Fractional Schrödinger Equation by Using Quadratic B-Spline Finite Elements

Alaattin Esen, Orkun Taşbozan

Type: Article

Publication Date: 2016-12-20

Citations: 21

DOI: https://doi.org/10.1515/amsil-2016-0015

Abstract

Abstract In this article, quadratic B-spline Galerkin method has been employed to solve the time fractional order Schrödinger equation. Numerical solutions and error norms L 2 and L ∞ are presented in tables.

Locations

Annales Mathematicae Silesianae - View - PDF
Silesian Digital Library (Silesian Library) - View - PDF

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+	An Introduction to the Fractional Calculus and Fractional Differential Equations	1993	Kenneth S. Miller Bertram Ross
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+	A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system	2012	Leilei Wei Xindong Zhang Sunil Kumar Ahmet Yıldırım
+ PDF Chat	An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations	2005	S. B. Yuste L. Acedo
+	A generalized differential transform method for linear partial differential equations of fractional order	2007	Zaid Odibat Shaher Momani
+	Homotopy perturbation method for fractional KdV-Burgers equation	2006	Qi Wang
+ PDF Chat	Weighted average finite difference methods for fractional diffusion equations	2006	S. B. Yuste
+	Variational iteration method for the Burgers’ flow with fractional derivatives—New Lagrange multipliers	2013	Guo–Cheng Wu Dumitru Băleanu
+	Solving systems of fractional differential equations using differential transform method	2007	Vedat Suat Ertürk Shaher Momani
+	Analytical approximate solutions for nonlinear fractional differential equations	2002	Nabil Shawagfeh