A MATLAB code for fractional differential equations based on two-step spline collocation methods (Q6612890)

scientific article; zbMATH DE number 7920774

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English	A MATLAB code for fractional differential equations based on two-step spline collocation methods	scientific article; zbMATH DE number 7920774

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title

A MATLAB code for fractional differential equations based on two-step spline collocation methods (English)

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1 October 2024

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An efficient method for nonlinear fractional differential equations: combination of the Adomian decomposition method and spectral method

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Solving mixed classical and fractional partial differential equations using short-memory principle and approximate inverses

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Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems

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Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Numerical solution of time fractional diffusion systems

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Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions

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A parallel algorithm for large systems of Volterra integral equations of Abel type

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Fast Runge-Kutta methods for nonlinear convolution systems of Volterra integral equations

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Stability analysis of spline collocation methods for fractional differential equations

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Two-step collocation methods for fractional differential equations

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Stability of two-step spline collocation methods for initial value problems for fractional differential equations

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Fast collocation methods for Volterra integral equations of convolution type

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Multivalue mixed collocation methods

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Adomian decomposition: a tool for solving a system of fractional differential equations

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Multivalue collocation methods free from order reduction

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Collocation at Gaussian Points

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Short memory principle and a predictor-corrector approach for fractional differential equations

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Detailed error analysis for a fractional Adams method

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A fast and oblivious matrix compression algorithm for Volterra integral operators

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Q4729263

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Numerical solution of fractional differential equations: a survey and a software tutorial

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Fast Numerical Solution of Nonlinear Volterra Convolution Equations

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Fast numerical solution of weakly singular Volterra integral equations

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Application of Legendre wavelets for solving fractional differential equations

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A fast collocation approximation to a two-sided variable-order space-fractional diffusion equation and its analysis

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Q5699297

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Q5190149

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Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations

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A phase-fitted collocation-based Runge-Kutta-Nyström method

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Spline collocation methods for linear multi-term fractional differential equations

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Numerical solution of nonlinear fractional differential equations by spline collocation methods

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Spline collocation for nonlinear fractional boundary value problems

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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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Fast and Oblivious Convolution Quadrature

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The Grünwald-Letnikov method for fractional differential equations

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Fractional processes and fractional-order signal processing. Techniques and applications

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Exponentially accurate spectral and spectral element methods for fractional ODEs

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Fractional Spectral Collocation Method

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Identifiers

DOI

10.1007/978-981-19-7716-9_8

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6612890