Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions
DOI10.1016/J.CNSNS.2022.107062OpenAlexW4311818267MaRDI QIDQ2684153
Publication date: 16 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.107062
Gegenbauer polynomialsspectral tau methodoperational matricesdistributed ordernonlinear time-fractional telegraph models
Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
- The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
- Fractional differential equations in electrochemistry
- A high order method for numerical solution of time-fractional KdV equation by radial basis functions
- 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
- Fractional-order modeling of neutron transport in a nuclear reactor
- A computationally efficient method for tempered fractional differential equations with application
- Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations
- Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
- Fractional shifted Legendre tau method to solve linear and nonlinear variable-order fractional partial differential 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
- Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations
- Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
- A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II
- Distributed-order fractional constitutive stress-strain relation in wave propagation modeling
- Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation
- Matrix Algorithms
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- Stochastic models for fractional calculus
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