On the convergence analysis of the Tau method applied to fourth-order partial differential equation based on Volterra-Fredholm integral equations
DOI10.1016/j.apnum.2021.11.013zbMath1484.65272OpenAlexW3215850946WikidataQ114208169 ScholiaQ114208169MaRDI QIDQ2073948
Publication date: 3 February 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.11.013
convergence analysisfourth-order partial differential equationsVolterra-Fredholm integral equationsTau method
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fredholm integral equations (45B05) Volterra integral equations (45D05)
Cites Work
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- The \(L^{2}\)-convergence of the Legendre spectral tau matrix formulation for nonlinear fractional integro differential equations
- Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations
- Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations
- Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
- Numerical solution of feedback control systems equations
- A Tau method based on non-uniform space-time elements for the numerical simulation of solitons
- Numerical treatment of moving and free boundary value problems with the tau method
- Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
- Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
- The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel
- Dynamical behavior of traveling wave solutions for a \((2+1)\)-dimensional Bogoyavlenskii coupled system
- The Sinc-Galerkin Method for Fourth-Order Differential Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- On the solution of time‐fractional dynamical model of Brusselator reaction‐diffusion system arising in chemical reactions
- Numerical methods for nonlinear fourth-order boundary value problems with applications
- Spectral Methods
- The Tau Method
- Trigonometric Interpolation of Empirical and Analytical Functions
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