Keywords: روش توو; Multi-term variable-order time fractional diffusion-wave equation (M-V-TFD-E); Chebyshev wavelets (CWs); Operational matrix of variable-order Fractional derivative (OMV-FD); Collocation method; Tau method;
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Keywords: روش توو; 26A33; 34A08; 34K37; 65T60; Fractional-order Legendre wavelets; Caputo derivative; Operational matrix; Tau method; Fractional differential equations;
Keywords: روش توو; Nonlinear fractional differential equations; Systems of fractional differential equations; Tau method; Pseudo-spectral methods; Shifted fractional Jacobi polynomials
Keywords: روش توو; Off-centered stagnation flow; Similarity transform; Bernstein polynomials; Function approximation; Tau method;
Keywords: روش توو; Fractional diffusion-wave equations; Tau method; Shifted Jacobi polynomials; Operational matrix; Caputo derivative
Keywords: روش توو; Sobolev-type equation; Hyperbolic equation; Tau method; Nonlocal boundary condition; Shifted Standard base; Shifted Chebyshev base
Keywords: روش توو; Generalized fractional-order Legendre functions; Operational matrix; Fractional partial differential equations; Numerical solution; Tau method; Convergence analysis
Evaluation of mixed Crank-Nicolson scheme and Tau method for the solution of Klein-Gordon equation
Keywords: روش توو; Interpolating scaling functions; Crank-Nicolson scheme; Tau method; Klein-Gordon equation;
Tau approximation method for the weakly singular Volterra–Hammerstein integral equations
Keywords: روش توو; Weakly singular Volterra–Hammerstein integral equations; Tau method; Polynomial approximation; Numerical treatment
The Müntz-Legendre Tau method for fractional differential equations
Keywords: روش توو; Caputo derivative; Fractional differential equations; Müntz-Legendre polynomials; Tau method
The operational matrix of fractional integration for shifted Chebyshev polynomials
Keywords: روش توو; Operational matrix; Shifted Chebyshev polynomials; Tau method; Multi-term FDEs; Riemann–Liouville derivative
A new formula for fractional integrals of Chebyshev polynomials: Application for solving multi-term fractional differential equations
Keywords: روش توو; Multi-term FDEs; Tau method; Shifted Chebyshev polynomials; Chebyshev–Gauss quadrature; Riemann–Liouville sense
An efficient Chebyshev-tau method for solving the space fractional diffusion equations
Keywords: روش توو; Fractional diffusion equation; Shifted Chebyshev polynomials; Tau method; Operation matrix; Caputo derivative
Tau approximate solution of weakly singular Volterra integral equations
Keywords: روش توو; Spectral methods; Tau method; Weakly singular integral equations; Abel’s equations
An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
Keywords: روش توو; Fractional-order differential equations; Operational matrix; Jacobi polynomials; Tau method
Fractional-order Legendre functions for solving fractional-order differential equations
Keywords: روش توو; Fractional-order Legendre functions; Fractional-order differential equations; Operational matrix; Tau method
On shifted Jacobi spectral method for high-order multi-point boundary value problems
Keywords: روش توو; Multi-point boundary value problem; High-order differential equation; Nonlinear boundary value problems; Tau method; Collocation method; Shifted Jacobi polynomials; Gauss quadrature
Direct operatorial tau method for pantograph-type equations
Keywords: روش توو; Pantograph equations; Chebyshev polynomials; Tau method;
A quadrature tau method for fractional differential equations with variable coefficients
Keywords: روش توو; Multi-term FDEs; Tau method; Shifted Legendre polynomials; Gauss–Lobatto quadrature
A tau approach for solution of the space fractional diffusion equation
Keywords: روش توو; Fractional diffusion equation; Operational matrix; Legendre polynomials; Tau method; Caputo derivative
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
Keywords: روش توو; Multi-term fractional differential equations; Nonlinear fractional differential equations; Tau method; Collocation method; Shifted Chebyshev polynomials; Gauss quadrature
The performance of a Tau preconditioner on systems of ODEs
Keywords: روش توو; Tau method; Matrix formulation; Preconditioner; Systems of ODEs
An extension of the spectral Tau method for numerical solution of multi-order fractional differential equations with convergence analysis
Keywords: روش توو; Fractional differential equations; Caputo derivative; Tau method; Operational approach to the Tau method
Exponentially weighted Legendre–Gauss Tau methods for linear second-order differential equations
Keywords: روش توو; Tau Method; Legendre polynomials; Coefficient perturbation; Collocation
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients
Keywords: روش توو; Differential-difference equation; Fredholm integro-differential-difference equation; Tau method; Operational matrix; Legendre polynomials; Numerical solution
Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational Tau method and error estimation
Keywords: روش توو; Tau method; Operational Tau method; Nonlinear Volterra integro-differential equation system; Error estimation
Iterative numerical solution of non-linear integro-differential equations by the Tau method
Keywords: روش توو; Tau method; Fredholm and Volterra integral and integro-differential equations;
A posteriori error bounds for the approximate solution of second-order ODEs by piecewise coefficients perturbation methods
Keywords: روش توو; 65L05; 65L10CP-methods; Collocation; Tau method; Orthogonal polynomials
Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the Tau method with an error estimation
Keywords: روش توو; Tau method; Fredholm and Volterra integral and integro-differential equations;