An efficient approach for solving nonlinear multidimensional Schrödinger equations (Q1980216)

scientific article; zbMATH DE number 7391000

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English	An efficient approach for solving nonlinear multidimensional Schrödinger equations	scientific article; zbMATH DE number 7391000

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instance of

scholarly article

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title

An efficient approach for solving nonlinear multidimensional Schrödinger equations (English)

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author

Neslişah İmamoğlu Karabaş

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Engineering Analysis with Boundary Elements

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publication date

3 September 2021

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zbMATH Keywords

cubic nonlinear Schrödinger equation

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meshless method

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Fréchet derivative

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.enganabound.2021.07.009

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cites work

On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation

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A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation

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Dufort–Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations

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A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

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Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices

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Time-splitting pseudo-spectral domain decomposition method for the soliton solutions of the one- and multi-dimensional nonlinear Schrödinger equations

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Numerical solution of nonlinear Schrödinger equation with Neumann boundary conditions using quintic B-spline Galerkin method

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Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method

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Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains

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A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Convergence order estimates of meshless collocation methods using radial basis functions

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Assessment of global and local meshless methods based on collocation with radial basis functions for parabolic partial differential equations in three dimensions

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A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates

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Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations

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Q4406669

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A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation

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Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation

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Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.ENGANABOUND.2021.07.009

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Sitelinks

Mathematics(1 entry)

mardi Publication:1980216