Error analysis of the Tau Method: Dependence of the error on the degree and on the length of the interval of approximation-Reference-Cited by-同舟云学术

Error analysis of the Tau Method: Dependence of the error on the degree and on the length of the interval of approximation

Published:1993-04 Issue:7 Volume:25 Page:33-45
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

El-Daou M.K.,Ortiz E.L.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference5 articles.

1. The Tau method;Ortiz;SIAM J. Numer. Anal.,1969

2. Ordinary Differential Equations;Birkhoff,1962

3. A hierarchy of truncation error estimates for the numerical solution of a system of ordinary differential equations with techniques based on the Tau Method;Namasivayam,1988

4. Error analysis of the Tau Method: Dependence of the approximation error on the choice of the perturbation term;Namasivayam;Comput. & Maths. Appls.,1992

5. A unified approach to the Tau Method and Chebyshev series expansions techniques;El-Daou;Comput. & Maths. Appls.,1992

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New fractional Lanczos vector polynomials and their application to system of Abel–Volterra integral equations and fractional differential equations;Journal of Computational and Applied Mathematics;2020-03

2. A new recursive formulation of the Tau method for solving linear Abel–Volterra integral equations and its application to fractional differential equations;Calcolo;2019-11-09

3. On the generalization of the error and error estimation process of Ortiz’s recursive formulation of the tau method;Journal of the Nigerian Mathematical Society;2015-04

4. On shifted Jacobi spectral method for high-order multi-point boundary value problems;Communications in Nonlinear Science and Numerical Simulation;2012-10

5. The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations;Numerical Mathematics: Theory, Methods and Applications;2012-06