Numerical solution of the general form linear Fredholm–Volterra integro-differential equations by the Tau method with an error estimation

S. Shahmorad

doi:10.1016/j.amc.2004.08.045

Numerical solution of the general form linear Fredholm–Volterra integro-differential equations by the Tau method with an error estimation

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.08.045 ◽

2005 ◽

Vol 167 (2) ◽

pp. 1418-1429 ◽

Cited By ~ 25

Author(s):

S. Shahmorad

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimation ◽

Tau Method

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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 the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational Tau method and error estimation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.02.014 ◽

2009 ◽

Vol 231 (1) ◽

pp. 106-113 ◽

Cited By ~ 30

Author(s):

S. Abbasbandy ◽

A. Taati

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Error Estimation ◽

Tau Method ◽

Operational Tau Method ◽

Differential Part

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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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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 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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Error estimation in the numerical solution of ode with the Tau method

Computers & Mathematics with Applications ◽

10.1016/0898-1221(91)90122-k ◽

1991 ◽

Vol 21 (9) ◽

pp. 19-27 ◽

Cited By ~ 6

Author(s):

R.B. Adeniyi ◽

P. Onumanyi

Keyword(s):

Numerical Solution ◽

Error Estimation ◽

Tau Method

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