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A tau method with perturbed boundary conditions for certain ordinary differential equations

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Publication:1773069
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zbMath1068.65090MaRDI QIDQ1773069

Mohamed K. El-Daou

Publication date: 25 April 2005

Published in: Numerical Algorithms (Search for Journal in Brave)


zbMATH Keywords

numerical exampleserror boundstau methodperturbed equationspolynomial approximations


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)




Cites Work

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  • Computable error bounds for coefficients perturbation methods
  • The number of extrema of the error function of a class of methods for differential equations
  • Error analysis of the Tau method: Dependence of the error on the degree and on the length of the interval of approximation
  • The Tau Method


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