Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations

From MaRDI portal
Publication:2004504

DOI10.1016/j.camwa.2019.07.008zbMath1443.65257OpenAlexW2961670606WikidataQ127497783 ScholiaQ127497783MaRDI QIDQ2004504

Mahmoud A. Zaky, José António Tenreiro Machado

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.07.008



Related Items

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation, Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions, New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations, High-order numerical method for solving a space distributed-order time-fractional diffusion equation, A novel numerical technique for fractional ordinary differential equations with proportional delay, A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions, Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration, Recovering source term and temperature distribution for nonlocal heat equation, A superlinear convergence scheme for the multi‐term and distribution‐order fractional wave equation with initial singularity, An improved numerical technique for distributed‐order time‐fractional diffusion equations, An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability, On spectral polar fractional Laplacian, Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains, Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term, Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions, A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions, Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions, Predefined-time control of distributed-order systems, Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain, Weak solution to a Robin problem of anomalous diffusion equations: Uniqueness and stable algorithm for the TPC system, Robust stabilisation of distributed‐order systems, Unnamed Item, Shifted Legendre spectral collocation technique for solving stochastic Volterra-Fredholm integral equations, Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations, Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions, Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model



Cites Work