Document Details

Document Type : Article In Journal 
Document Title :
A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation
A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation
 
Subject : Mthematics 
Document Language : English 
Abstract : In this paper, we derive numerical methods for solving the coupled nonlinear Schrödinger equation. We discretize the space derivative by central difference formulas of fourth-order. The resulting ordinary differential system is solved by the fourth-order explicit Runge-Kutta method. Neumann and Periodic boundary conditions are used. The method is tested for accuracy and the conserved quantities. These methods conserve the three conserved quantities conserve exactly for at least five decimal places. A comparison has been made with some existing methods. © 2007 Elsevier Inc. All rights reserved. 
ISSN : 0096-3003 
Journal Name : Applied Mathematics and Computation, Volume 196, Issue 1, 15 February 2008, Pages 273-284 
Volume : 196 
Issue Number : 1 
Publishing Year : 2008 AH
2008 AD 
Number Of Pages : 12 
Article Type : Article 
Added Date : Thursday, October 15, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمدسعيد يوسف حموده اسماعيلIsmail, M.SResearcherDoctoratemsismail@kau.edu.sa

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