Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation (Q2311789)

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English	Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation	scientific article

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instance of

scholarly article

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title

Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation (English)

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Applied Numerical Mathematics

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publication date

4 July 2019

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zbMATH Keywords

distributed-order fractional differential equation

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Legendre-Gauss collocation method

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convergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2019.03.005

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cites work

A generalized model for the uniaxial isothermal deformation of a viscoelastic body

0 references

On a nonlinear distributed order fractional differential equation

0 references

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

0 references

Collocation Methods for Volterra Integral and Related Functional Differential Equations

0 references

Q4438544

0 references

Finite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domain

0 references

Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel

0 references

Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis

0 references

An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations

0 references

Solving nonlinear fractional partial differential equations using the homotopy analysis method

0 references

The dual reciprocity boundary integral equation technique to solve a class of the linear and nonlinear fractional partial differential equations

0 references

Numerical analysis for distributed-order differential equations

0 references

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

0 references

A new Jacobi operational matrix: an application for solving fractional differential equations

0 references

Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions

0 references

Variational solution of fractional advection dispersion equations on bounded domains in ℝd

0 references

Some high-order difference schemes for the distributed-order differential equations

0 references

Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations

0 references

Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces

0 references

Legendre-Gauss collocation methods for ordinary differential equations

0 references

Distributed-Order Dynamic Systems

0 references

Numerical solution of distributed order fractional differential equations

0 references

Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations

0 references

A Space-Time Spectral Method for the Time Fractional Diffusion Equation

0 references

On the numerical inversion of the Laplace transform of certain holomorphic mappings

0 references

A Spectral Order Method for Inverting Sectorial Laplace Transforms

0 references

Variable order and distributed order fractional operators

0 references

Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind

0 references

Convolution quadrature and discretized operational calculus. I

0 references

Q3582579

0 references

Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation

0 references

Numerical approximation of distributed order reaction-diffusion equations

0 references

Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

0 references

Q4233638

0 references

The mean value theorem and analytic functions of a complex variable

0 references

A new operational matrix for solving fractional-order differential equations

0 references

Fast and Oblivious Convolution Quadrature

0 references

Spectral Methods

0 references

Q3412560

0 references

Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains

0 references

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

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Identifiers

zbMATH Open document ID

1450.65134

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DOI

10.1016/j.apnum.2019.03.005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2311789