A fast collocation algorithm for solving the time fractional heat equation
type: Item
instance of: scholarly article
title: A fast collocation algorithm for solving the time fractional heat equation
zbMATH Open document ID: 1478.65094
author: Mohamed El-Gamel
author: Mahmoud Abd El-Hady
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2022-01-24T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7462494
zbMATH Keywords: orthogonal Jacobi polynomials
zbMATH Keywords: collocation
zbMATH Keywords: operational matrix
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: fractional heat
MaRDI profile type: Publication
full work available at URL: s40324-021-00245-2
OpenAlex ID: W3138194868
cites work: Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
cites work: A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: The operational matrix of fractional integration for shifted Chebyshev polynomials
cites work: Solution of fractional integro-differential equations by using fractional differential transform method
cites work: Approximate analytical solutions to the Bagley-Torvik equation by the fractional iteration method
cites work: Implicit difference approximation for the time fractional heat equation with the nonlocal condition
cites work: Numerical solution of the Bagley-Torvik equation by Legendre-collocation method
cites work: Analysis of a new finite difference/local discontinuous Galerkin method for the fractional diffusion-wave equation
cites work: Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
cites work: Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivates
cites work: Numerical solution of fractional delay differential equation by shifted Jacobi polynomials
cites work: Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
cites work: A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
cites work: Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients
cites work: Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order
cites work: Numerical solution of fractional differential equations using the generalized block pulse operational matrix
cites work: Application Jacobi spectral method for solving the time-fractional differential equation
cites work: A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
cites work: A wavelet operational method for solving fractional partial differential equations numerically
cites work: Solving fractional integral equations by the Haar wavelet method
cites work: Parametric spline functions for the solution of the one time fractional Burgers equation
cites work: A numerical scheme for solving nonhomogeneous time-dependent problems
cites work: Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method
cites work: The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
cites work: Homotopy analysis method for higher-order fractional integro-differential equations
cites work: A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley-Torvik equation
cites work: Generalized quasilinearization for fractional differential equations
cites work: The construction of operational matrix of fractional derivatives using B-spline functions
cites work: A generalized differential transform method for linear partial differential equations of fractional order
cites work: Q4920951
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: The general Jacobi matrix method for solving some nonlinear ordinary differential equations
cites work: Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations
cites work: Approximate solution of fractional vibration equation using Jacobi polynomials
cites work: Q4616934
cites work: A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
cites work: A new Legendre operational technique for delay fractional optimal control problems
cites work: A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
cites work: Improved Jacobi matrix method for the numerical solution of Fredholm integro-differential-difference equations
cites work: An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
cites work: An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
cites work: A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
cites work: Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
cites work: Applications of fractional calculus in physics
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: A new Jacobi operational matrix: an application for solving fractional differential equations
DOI: 10.1007/S40324-021-00245-2
description: scientific article; zbMATH DE number 7462494