A novel spectral method for the subdiffusion equation (Q6620215)

scientific article; zbMATH DE number 7927610

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English	A novel spectral method for the subdiffusion equation	scientific article; zbMATH DE number 7927610

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A novel spectral method for the subdiffusion equation (English)

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16 October 2024

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cites work

A new difference scheme for the time fractional diffusion equation

0 references

A Caputo fractional derivative of a function with respect to another function

0 references

Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications

0 references

A numerical study of fractional relaxation-oscillation equations involving \(\psi \)-Caputo fractional derivative

0 references

Weighted Norm Inequalities for Certain Integral Operators

0 references

High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations

0 references

A Kernel Compression Scheme for Fractional Differential Equations

0 references

Generalized Jacobi functions and their applications to fractional differential equations

0 references

A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions

0 references

Convolution quadrature time discretization of fractional diffusion-wave equations

0 references

Variational formulation for the stationary fractional advection dispersion equation

0 references

Identifying source term in the subdiffusion equation with L <sup>2</sup>-TV regularization <sup>*</sup>

0 references

An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data

0 references

A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions

0 references

A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

0 references

Generalized Jacobi polynomials/functions and their applications

0 references

Existence of Turing instabilities in a two-species fractional reaction-diffusion system

0 references

A fractional spectral method with applications to some singular problems

0 references

Müntz spectral methods for the time-fractional diffusion equation

0 references

Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

0 references

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

0 references

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

0 references

Q5699297

0 references

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

0 references

Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation

0 references

A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

0 references

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

0 references

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

0 references

Finite difference/spectral approximations for the time-fractional diffusion equation

0 references

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

0 references

Q3465278

0 references

Error analysis of a high order method for time-fractional diffusion equations

0 references

The random walk's guide to anomalous diffusion: A fractional dynamics approach

0 references

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

0 references

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

0 references

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

0 references

Q3141895

0 references

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials

0 references

Spectral Methods

0 references

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

0 references

A fully discrete difference scheme for a diffusion-wave system

0 references

Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme

0 references

A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions

0 references

Fractional Sturm-Liouville eigen-problems: theory and numerical approximation

0 references

A unified Petrov-Galerkin spectral method for fractional PDEs

0 references

Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions

0 references

A stable fast time-stepping method for fractional integral and derivative operators

0 references

Numerical solution to a linearized time fractional KdV equation on unbounded domains

0 references

Identifiers

DOI

10.1007/978-3-031-20432-6_3

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6620215