A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations
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Publication:2279186
DOI10.1007/s10092-019-0347-yzbMath1432.65202OpenAlexW2984783255MaRDI QIDQ2279186
Younes Talaei, Sedaghat Shahmorad, Payam Mokhtary
Publication date: 12 December 2019
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-019-0347-y
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Cites Work
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- Collocation methods for fractional integro-differential equations with weakly singular kernels
- Use of Abel integral equations in water wave scattering by two surface-piercing barriers
- Computation of the canonical polynomials and applications to some optimal control problems
- A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
- An operational approach to the Tau method for the numerical solution of non-linear differential equations
- Abel integral equations. Analysis and applications
- The tau method and a new preconditioner.
- Weierstrass and approximation theory
- Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel
- Convergence analysis of the Jacobi-collocation method for nonlinear weakly singular Volterra integral equations
- An iterative numerical method for fractional integral equations of the second kind
- High order product integration methods for a Volterra integral equation with logarithmic singular kernel
- Solving differential and integral equations with tau method
- A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations
- Tau approximate solution of weakly singular Volterra integral equations
- On a graded mesh method for a class of weakly singular Volterra integral equations
- Jacobi spectral method for the second-kind Volterra integral equations with a weakly singular kernel
- The Müntz-Legendre tau method for fractional differential equations
- Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
- Error analysis of the Tau method: Dependence of the error on the degree and on the length of the interval of approximation
- A new operational method to solve Abel's and generalized Abel's integral equations
- Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
- Numerical solution of the system of Fredholm integro-differential equations by the tau method
- Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
- Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
- Muntz Systems and Orthogonal Muntz-Legendre Polynomials
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- The Tau Method
- Trigonometric Interpolation of Empirical and Analytical Functions
- Contributions to the theory of heat transfer through a laminar boundary layer
