A novel numerical scheme for fractional differential equations using extreme learning machine (Q6156469)

scientific article; zbMATH DE number 7695483

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English	A novel numerical scheme for fractional differential equations using extreme learning machine	scientific article; zbMATH DE number 7695483

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instance of

scholarly article

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title

A novel numerical scheme for fractional differential equations using extreme learning machine (English)

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13 June 2023

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zbMATH Keywords

extreme learning machine

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neural networks

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Legendre polynomials

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operational matrix

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MaRDI profile type

MaRDI publication profile

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cites work

Q5699297

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations

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A highly accurate numerical method for solving nonlinear time‐fractional differential difference equation

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Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

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A new operational matrix for solving fractional-order differential equations

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A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations

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Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation

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Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices

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A novel Legendre operational matrix for distributed order fractional differential equations

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Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations

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An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative

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Compatibility of the Paraskevopoulos's algorithm with operational matrices of Vieta-Lucas polynomials and applications

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Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks

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A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

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Neural network algorithm based on Legendre improved extreme learning machine for solving elliptic partial differential equations

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Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations

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Numerical solution and bifurcation analysis of nonlinear partial differential equations with extreme learning machines

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HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations

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Solving partial differential equation based on extreme learning machine

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A non-gradient method for solving elliptic partial differential equations with deep neural networks

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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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Reproducing kernel method for fractional Riccati differential equations

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Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials

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Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part

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Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order

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On solutions of fractional Riccati differential equations

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A predictor-corrector approach for the numerical solution of fractional differential equations

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First order partial differential equations with time delay and retardation of a state variable

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Identifiers

DOI

10.1016/j.physa.2023.128887

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Mathematics Subject Classification ID

82-XX

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zbMATH DE Number

7695483

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Sitelinks

Mathematics(1 entry)

mardi Publication:6156469