A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions
From MaRDI portal
Publication:6094068
DOI10.1016/j.matcom.2023.07.023OpenAlexW4385487201MaRDI QIDQ6094068
Publication date: 12 September 2023
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2023.07.023
spectral tau methodvariable-ordershifted Gegenbauer polynomialslinear and nonlinear fractional partial differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions
- On the stability and convergence of the time-fractional variable order telegraph 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
- Some applications of fractional order calculus
- Random-order fractional differential equation models
- A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
- The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
- Generalized Taylor's formula
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- Legendre wavelets optimization method for variable-order fractional Poisson equation
- An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
- Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications
- Solution existence for non-autonomous variable-order fractional differential equations
- A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation
- A computationally efficient method for tempered fractional differential equations with application
- A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation
- A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
- A computational method for solving variable-order fractional nonlinear diffusion-wave equation
- Extended algorithms for approximating variable order fractional derivatives with applications
- Effective numerical technique for solving variable order integro-differential equations
- On the convergence of a new reliable algorithm for solving multi-order fractional differential equations
- Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
- A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation
- A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Modelling heat transfer in heterogeneous media using fractional calculus
- Mechanics with variable-order differential operators
- Orthogonal Polynomials in Mathematical Physics
- Non standard finite difference method for solving variable order fractional optimal control problems
- The variable viscoelasticity oscillator
- A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation
- SHIFTED GEGENBAUER OPERATIONAL MATRIX AND ITS APPLICATIONS FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS
- A variable order constitutive relation for viscoelasticity
- Denoising-Enhancing Images on Elastic Manifolds