Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions

DOI10.1007/s11075-022-01452-2OpenAlexW4315485194MaRDI QIDQ6156113

W. A. Hashem, Hoda F. Ahmed

Publication date: 12 June 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01452-2

zbMATH Keywords

error analysisGegenbauer polynomialsspectral tau methodoperational matricesdistributed-orderfractional telegraph models

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

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• Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations
• An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
• Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
• The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
• Numerical approach for a class of distributed order time fractional partial differential equations
• A Legendre collocation method for distributed-order fractional optimal control problems
• Wavelets optimization method for evaluation of fractional partial differential equations: an application to financial modelling
• An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain
• A computationally efficient method for tempered fractional differential equations with application
• Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations
• Time-fractional telegraph equation of distributed order in higher dimensions
• Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain
• Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space
• An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions
• A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
• Computational technique for a class of nonlinear distributed-order fractional boundary value problems with singular coefficients
• A novel Legendre operational matrix for distributed order fractional differential equations
• Fractional-order Bernoulli wavelets and their applications
• A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
• Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
• Distributed-order fractional constitutive stress-strain relation in wave propagation modeling
• Distributed-order fractional diffusions on bounded domains
• The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
• Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation
• Applications in Physics, Part A
• A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
• SHIFTED GEGENBAUER OPERATIONAL MATRIX AND ITS APPLICATIONS FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS
• Computational scheme for solving nonlinear fractional stochastic differential equations with delay
• Denoising-Enhancing Images on Elastic Manifolds
• Stochastic models for fractional calculus