Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
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Publication:2570802
DOI10.1016/j.amc.2004.08.045zbMath1082.65602OpenAlexW2083334969MaRDI QIDQ2570802
Publication date: 28 October 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.08.045
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Cites Work
- Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
- Numerical solution of nonlinear partial differential equations with the Tau method
- Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly
- Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method
- An operational approach to the Tau method for the numerical solution of non-linear differential equations
- Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
- Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations
- The Tau Method
- Iterated solutions of linear operator equations with the Tau method
- The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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