A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

DOI10.1080/00207160.2021.1940977OpenAlexW3171714365MaRDI QIDQ5072026

Hossein Aminikhah, Khadijeh Sadri

Publication date: 25 April 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1940977

zbMATH Keywords

convergence analysisCaputo derivativeoperational matrixfifth-kind Chebyshev polynomialsmulti-term variable-order time fractional diffusion-wave equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical analysis (65-XX)

Related Items (6)

A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions ⋮ Numerical solution and error analysis of the Thomas-Fermi type equations with integral boundary conditions by the modified collocation techniques ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions ⋮ Jacobi polynomials for the numerical solution of multi-dimensional stochastic multi-order time fractional diffusion-wave equations ⋮ A streamlined numerical method to treat fractional nonlinear terminal value problems with multiple delays appearing in biomathematics ⋮ Chebyshev polynomials of sixth kind for solving nonlinear fractional PDEs with proportional delay and its convergence analysis

Cites Work

• Unnamed Item
• Numerical algorithm for the variable-order Caputo fractional functional differential equation
• Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
• Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
• Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
• Fractional extensions of the temperature field problems in oil strata
• A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems
• Legendre wavelets optimization method for variable-order fractional Poisson equation
• Sixth-kind Chebyshev spectral approach for solving fractional differential equations
• An operational matrix method for solving variable-order fractional biharmonic equation
• Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
• A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
• An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels
• Chebyshev collocation treatment of Volterra-Fredholm integral equation with error analysis
• Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains
• A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
• Control of damping oscillations by fractional differential operator with time-dependent order
• A Generalized Operational Method for Solving Integro{Partial Di®erential Equations Based on Jacobi Polynomials
• Mechanics with variable-order differential operators
• A new Wavelet Method for Variable‐Order Fractional Optimal Control Problems
• Non standard finite difference method for solving variable order fractional optimal control problems
• The variable viscoelasticity oscillator
• Integration and differentiation to a variable fractional order
• A numerical method based on the Chebyshev cardinal functions for variable‐order fractional version of the fourth‐order 2D Kuramoto‐Sivashinsky equation
• Discrete Chebyshev polynomials for nonsingular variable‐order fractional KdV Burgers' equation
• A variable order constitutive relation for viscoelasticity

This page was built for publication: A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation