Jacobi-Gauss-Lobatto collocation method for the numerical solution of 1 + 1 nonlinear Schrödinger equations

Journal of Computational Physics

Volumn 261, Issue , 2014, Pages 244-255

  Doha, E H ^a   Bhrawy, A H ^b,c   Abdelkawy, M A ^c   Van Gorder, Robert A ^d  

^a CAIRO UNIVERSITY   (Egypt)

^b KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^c Beni Suef University   (Egypt)

^d UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

Collocation method; Gross Pitaevskii equation; Implicit Runge Kutta method; Jacobi Gauss Lobatto quadrature; Nonlinear complex Schr dinger equations

Indexed keywords

APPROXIMATION ALGORITHMS; BOSE-EINSTEIN CONDENSATION; GAUSSIAN DISTRIBUTION; NONLINEAR EQUATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS;

COLLOCATION METHOD; FOURTH-ORDER; GAUSS-LOBATTO COLLOCATIONS; GAUSS-LOBATTO QUADRATURE; GROSS-PITAEVSKII EQUATION; IMPLICIT RUNGE-KUTTA METHOD; JACOBI-GAUSS-LOBATTO QUADRATURE; NONLINEAR COMPLEX SCHRÖDINGE EQUATION; NUMERICAL ALGORITHMS; NUMERICAL SOLUTION;

BOUNDARY CONDITIONS;

EID: 84892836298     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2014.01.003     Document Type: Article

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