A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation (Q6058386)

scientific article; zbMATH DE number 7758554

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English	A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation	scientific article; zbMATH DE number 7758554

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instance of

scholarly article

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title

A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation (English)

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Journal of Elliptic and Parabolic Equations

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publication date

1 November 2023

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zbMATH Keywords

fractional diffusion partial differential equation

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finite difference schemes

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Lucas polynomials

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spectral collocation methods

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s41808-023-00246-4

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cites work

Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation

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Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs

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Generalized Lucas polynomial sequence approach for fractional differential equations

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Q5379916

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A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

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Collocation methods for fractional differential equations involving non-singular kernel

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Normalized Bernstein polynomials in solving space-time fractional diffusion equation

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A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations

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Fourier spectral methods for fractional-in-space reaction-diffusion equations

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Lucas polynomial approach for system of high-order linear differential equations and residual error estimation

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Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions

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On shifted Jacobi spectral approximations for solving fractional differential equations

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Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

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A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives

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Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method

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The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves

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On the accurate discretization of a highly nonlinear boundary value problem

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Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

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On an accurate discretization of a variable-order fractional reaction-diffusion equation

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Spectral Methods for Time-Dependent Problems

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Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition

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A new approach for solving a system of fractional partial differential equations

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Solving a system of nonlinear fractional partial differential equations using homotopy analysis method

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Crank–Nicolson finite difference method for time-fractional coupled KdV equation

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Analysis of the fractional diffusion equations described by atangana-baleanu-Caputo fractional derivative

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Adaptive Learning Neural Network Method for Solving Time–Fractional Diffusion Equations

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Terminal value problems of non-homogeneous fractional linear systems with general memory kernels

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A wavelet operational method for solving fractional partial differential equations numerically

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Identifiers

zbMATH Open document ID

1526.65049

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DOI

10.1007/s41808-023-00246-4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6058386