A comparative numerical study based on cubic exponential B-splines and finite difference method for the nonlinear Schrödinger equation

Mapping Intimacies ◽

10.1063/1.5136440 ◽

2019 ◽

Author(s):

Azhar Ahmad ◽

Amirah Azmi ◽

Nur Nadiah Abd Hamid ◽

Ahmad Izani Md. Ismail

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Difference Method ◽

Schrodinger Equation ◽

Numerical Study ◽

Nonlinear Schrodinger Equation ◽

B Splines ◽

Nonlinear Schrödinger

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Finite difference method with cubic spline for solving nonlinear schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207169608804528 ◽

1996 ◽

Vol 62 (1-2) ◽

pp. 101-112 ◽

Cited By ~ 9

Author(s):

M. S. Ismail

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Difference Method ◽

Schrodinger Equation ◽

Cubic Spline ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Highly accurate finite difference method for coupled nonlinear Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160410001661339 ◽

2004 ◽

Vol 81 (3) ◽

pp. 333-351 ◽

Cited By ~ 48

Author(s):

M. S. Ismail ◽

S. Z. Alamri

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Difference Method ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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A split-step finite difference method for nonparaxial nonlinear Schrödinger equation at critical dimension

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.02.006 ◽

2011 ◽

Vol 61 (7) ◽

pp. 891-899 ◽

Cited By ~ 3

Author(s):

Kamyar Malakuti ◽

Evgueni Parilov

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Difference Method ◽

Schrodinger Equation ◽

Critical Dimension ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method

Communications in Theoretical Physics ◽

10.1088/1572-9494/ab6185 ◽

2020 ◽

Vol 72 (2) ◽

pp. 025001

Author(s):

Bin Cheng ◽

Ya-Ming Chen ◽

Chuan-Fu Xu ◽

Da-Li Li ◽

Xiao-Gang Deng

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Difference Method ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Dirac Delta ◽

Delta Potential ◽

Dirac Delta Potential

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On the conservative finite difference scheme for 2D nonlinear Schrödinger equation

Computer Physics Communications ◽

10.1016/s0010-4655(06)70082-0 ◽

1999 ◽

Vol 121-122 ◽

pp. 677

Author(s):

Yu.F. Kir'yanov ◽

M.L. Kudryavtseva ◽

M.V. Maslov ◽

I.V. Shestakova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Conservative Finite Difference Scheme

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A numerical study of the perturbed semiclassical focusing nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/s0375-9601(02)01260-4 ◽

2002 ◽

Vol 304 (3-4) ◽

pp. 85-94 ◽

Cited By ~ 2

Author(s):

J.M. Bergamin ◽

S. Kamvissis ◽

T. Bountis

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Numerical Study ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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The numerical study of blowup with application to a nonlinear Schrodinger equation

Journal of Computational Physics ◽

10.1016/0021-9991(92)90382-9 ◽

1992 ◽

Vol 102 (2) ◽

pp. 407-416 ◽

Cited By ~ 15

Author(s):

Y Tourigny ◽

J.M Sanz-Serna

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Numerical Study ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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A numerical study of nonlinear Schrödinger equation solutions for microwave solitons in magnetic thin films

Journal of Applied Physics ◽

10.1063/1.352878 ◽

1993 ◽

Vol 73 (8) ◽

pp. 3906-3909 ◽

Cited By ~ 22

Author(s):

Ming Chen ◽

Jon M. Nash ◽

Carl E. Patton

Keyword(s):

Thin Films ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Numerical Study ◽

Magnetic Thin Films ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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A numerical study of the nonlinear Schrödinger equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90156-7 ◽

1984 ◽

Vol 45 (1-3) ◽

pp. 177-215 ◽

Cited By ~ 43

Author(s):

D.F. Griffiths ◽

A.R. Mitchell ◽

J.Li. Morris

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Numerical Study ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Erratum: Femtosecond pulse propagation in nitrogen: Numerical study of(3+1)-dimensional extended nonlinear Schrödinger equation with shock-term correction [Phys. Rev. E72, 026706 (2005)]

Physical Review E ◽

10.1103/physreve.74.029902 ◽

2006 ◽

Vol 74 (2) ◽

Cited By ~ 1

Author(s):

Taro Ando ◽

Masatoshi Fujimoto

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Femtosecond Pulse ◽

Pulse Propagation ◽

Numerical Study ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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