Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches (Q6106114)

scientific article; zbMATH DE number 7702447

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English	Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches	scientific article; zbMATH DE number 7702447

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instance of

scholarly article

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title

Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches (English)

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International Journal of Nonlinear Sciences and Numerical Simulation

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publication date

27 June 2023

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zbMATH Keywords

Caputo fractional derivative

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spectral collocation

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variable-order fractional Gross-Pitaevskii equation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/ijnsns-2021-0018

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cites work

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A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems

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A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

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Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations

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Q3119550

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Extended algorithms for approximating variable order fractional derivatives with applications

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SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order

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An efficient cubic spline approximation for variable-order fractional differential equations with time delay

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Numerical simulation of the Hurst index of solutions of fractional stochastic dynamical systems driven by fractional Brownian motion

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An integro quadratic spline approach for a class of variable-order fractional initial value problems

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A numerical approach for solving a class of variable-order fractional functional integral equations

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Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations

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Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

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Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions

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On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions

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A review of operational matrices and spectral techniques for fractional calculus

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A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations

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A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations

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A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

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A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations

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Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations

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Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations

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A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations

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A spectral framework for fractional variational problems based on fractional Jacobi functions

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Spectral Methods

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Spectral Methods

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The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

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Optimal variable-order fractional PID controllers for dynamical systems

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Identifiers

Mathematics Subject Classification ID

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10.1515/IJNSNS-2021-0018

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Mathematics(1 entry)

mardi Publication:6106114