Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations (Q2029137)

scientific article; zbMATH DE number 7354399

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English	Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations	scientific article; zbMATH DE number 7354399

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instance of

scholarly article

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title

Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations (English)

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Applied Numerical Mathematics

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publication date

3 June 2021

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zbMATH Keywords

non-singular variable-order fractional derivative

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coupled nonlinear variable-order fractional Ginzburg-Landau equations

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Vieta-Lucas polynomials

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convergence analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.03.007

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cites work

The world of the complex Ginzburg-Landau equation

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Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error

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Lorentzian-type soliton solutions of ac-driven complex Ginzburg-Landau equation

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Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE

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An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels

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Orthonormal Bernstein polynomials for solving nonlinear variable‐order time fractional fourth‐order diffusion‐wave equation with nonsingular fractional derivative

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A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations

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An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian

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Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation

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Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation

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Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order

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Q4233638

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Vieta's triangular array and a related family of polynomials

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Random attractors for the stochastic coupled fractional Ginzburg-Landau equation with additive noise

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Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam

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An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations

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Finite difference scheme for multi-term variable-order fractional diffusion equation

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A fourth-order linearized difference scheme for the coupled space fractional Ginzburg-Landau equation

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Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations

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Identifiers

zbMATH Open document ID

1467.35305

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.03.007

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Sitelinks

Mathematics(1 entry)

mardi Publication:2029137