Numerical solution of Volterra integro-differential equations by the Tau method with the Chebyshev and Legendre bases

J. Pour-Mahmoud; M.Y. Rahimi-Ardabili; S. Shahmorad

doi:10.1016/j.amc.2004.11.039

Numerical solution of Volterra integro-differential equations by the Tau method with the Chebyshev and Legendre bases

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.11.039 ◽

2005 ◽

Vol 170 (1) ◽

pp. 314-338 ◽

Cited By ~ 9

Author(s):

J. Pour-Mahmoud ◽

M.Y. Rahimi-Ardabili ◽

S. Shahmorad

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Tau Method

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An extension of the spectral Tau method for numerical solution of multi-order fractional differential equations with convergence analysis

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.10.027 ◽

2011 ◽

Vol 61 (1) ◽

pp. 30-43 ◽

Cited By ~ 53

Author(s):

F. Ghoreishi ◽

S. Yazdani

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Convergence Analysis ◽

Fractional Differential Equations ◽

Tau Method ◽

Fractional Differential

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Numerical solution of partial differential equations with variable coefficients with an operational approach to the tau method

Computers & Mathematics with Applications ◽

10.1016/0898-1221(84)90081-6 ◽

1984 ◽

Vol 10 (1) ◽

pp. 5-13 ◽

Cited By ~ 40

Author(s):

E.L. Ortiz ◽

H. Samara

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Variable Coefficients ◽

Tau Method ◽

Operational Approach ◽

Partial Differential

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Numerical solution of the nonlinear Volterra integro-differential equations by the Tau method

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.11.024 ◽

2007 ◽

Vol 188 (2) ◽

pp. 1580-1586 ◽

Cited By ~ 17

Author(s):

G. Ebadi ◽

M.Y. Rahimi-Ardabili ◽

S. Shahmorad

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Tau Method

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An operational approach to the Tau method for the numerical solution of non-linear differential equations

Computing ◽

10.1007/bf02243435 ◽

1981 ◽

Vol 27 (1) ◽

pp. 15-25 ◽

Cited By ~ 113

Author(s):

E. L. Ortiz ◽

H. Samara

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Linear Differential Equations ◽

Tau Method ◽

Operational Approach ◽

Non Linear ◽

Linear Differential

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Numerical solution of systems of ordinary differential equations with the Tau method: an error analysis

Mathematics of Computation ◽

10.1090/s0025-5718-1982-0669640-6 ◽

1982 ◽

Vol 39 (160) ◽

pp. 467-467 ◽

Cited By ~ 24

Author(s):

J. H. Freilich ◽

E. L. Ortiz

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Tau Method

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Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2794 ◽

2013 ◽

Vol 37 (3) ◽

pp. 329-342 ◽

Cited By ~ 39

Author(s):

J.A. Rad ◽

S. Kazem ◽

M. Shaban ◽

K. Parand ◽

A. Yildirim

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Fractional Differential Equations ◽

Bernstein Polynomials ◽

Tau Method ◽

Fractional Differential

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Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00081-4 ◽

2003 ◽

Vol 136 (2-3) ◽

pp. 559-570 ◽

Cited By ~ 43

Author(s):

S.M. Hosseini ◽

S. Shahmorad

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimation ◽

Tau Method

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Numerical Solution of Fourth Order Linear Ordinary Differential Equations by Cubic Spline Collocation Tau Method

Journal of Mathematics and Statistics ◽

10.3844/jmssp.2008.264.268 ◽

2008 ◽

Vol 4 (4) ◽

pp. 264-268 ◽

Cited By ~ 2

Author(s):

O.A. Taiwo ◽

O.M. Ogunlaran

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Cubic Spline ◽

Tau Method ◽

Spline Collocation ◽

Order Linear ◽

Linear Ordinary Differential Equations ◽

Cubic Spline Collocation

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Iterative numerical solution of non-linear integro-differential equations by the Tau method

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.04.002 ◽

2007 ◽

Vol 193 (2) ◽

pp. 514-522 ◽

Cited By ~ 3

Author(s):

M.Y. Rahimi-Ardabili ◽

S. Shahmorad

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Tau Method ◽

Non Linear

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Numerical solution of nonlinear partial differential equations with the Tau method

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(85)90044-5 ◽

1985 ◽

Vol 12-13 ◽

pp. 511-516 ◽

Cited By ~ 30

Author(s):

E.L. Ortiz ◽

K.-S. Pun

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Nonlinear Partial Differential Equations ◽

Tau Method ◽

Partial Differential

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