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Volumn 14, Issue 6, 2007, Pages 546-554

Numerical solution of the system of nonlinear Fredholm integro-differential equations by the operational Tau method with an error estimation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; ERROR ANALYSIS; LINEAR EQUATIONS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

EID: 38049012047     PISSN: 10263098     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (11)
  • 1
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    • An operational approach to the Tau method for the numerical solution of nonlinear differential equations
    • Ortiz, E.L. and Samara, H. "An operational approach to the Tau method for the numerical solution of nonlinear differential equations", Computing, 27, pp 15-25 (1981).
    • (1981) Computing , vol.27 , pp. 15-25
    • Ortiz, E.L.1    Samara, H.2
  • 2
    • 0021177673 scopus 로고
    • Numerical solution of partial differential equations with variable coefficients with an operational approarch to the Tau method
    • "Numerical solution of partial differential equations with variable coefficients with an operational approarch to the Tau method", Comput. Math. Appl., 10(1), pp 5-13 (1984).
    • (1984) Comput. Math. Appl , vol.10 , Issue.1 , pp. 5-13
  • 3
    • 38049023290 scopus 로고    scopus 로고
    • Numerical solution of partial differential equations with the Tau method
    • Departamento de Matematica de Universidade de Coimbra, Textos Maternatica, Fernanda Aragao Oliveira et al, Eds, pp
    • Rodrigues, M.J. and Matos, J. "Numerical solution of partial differential equations with the Tau method", Departamento de Matematica de Universidade de Coimbra, Textos Maternatica, Ser. B. 11, Fernanda Aragao Oliveira et al., Eds., pp 111-121 (1997).
    • (1997) Ser. B , vol.11 , pp. 111-121
    • Rodrigues, M.J.1    Matos, J.2
  • 4
    • 4244163123 scopus 로고
    • Numerical solution of nonlinear partial differential equations with the Tau method
    • Ortiz, E.L. and Pun, K.S. "Numerical solution of nonlinear partial differential equations with the Tau method", J. Comp. and Appl. Math., 12, pp 511-516 (1985).
    • (1985) J. Comp. and Appl. Math , vol.12 , pp. 511-516
    • Ortiz, E.L.1    Pun, K.S.2
  • 5
    • 0032041217 scopus 로고    scopus 로고
    • Numerical treatment of moving and free boundary value problems with the Tau method
    • Ortiz, E.L. and Aliabadi, M.H. "Numerical treatment of moving and free boundary value problems with the Tau method", Computers Math. Applic., 35(8), pp 53-61 (1998).
    • (1998) Computers Math. Applic , vol.35 , Issue.8 , pp. 53-61
    • Ortiz, E.L.1    Aliabadi, M.H.2
  • 6
    • 25644434152 scopus 로고    scopus 로고
    • Numerical solution of the system of Fredholm integro-differential equations by the Tau method
    • Pour-Mahmoud, J., Rahimi-Ardabili, M.Y., and Shahmorad, S. "Numerical solution of the system of Fredholm integro-differential equations by the Tau method", Appl. Math. and Comput., 168, pp 465-478 (2005).
    • (2005) Appl. Math. and Comput , vol.168 , pp. 465-478
    • Pour-Mahmoud, J.1    Rahimi-Ardabili, M.Y.2    Shahmorad, S.3
  • 7
    • 0014562201 scopus 로고
    • The Tau method
    • Ortiz, E.L. "The Tau method", SIAM J. Nume. Anal., 6, pp 480-492 (1969).
    • (1969) SIAM J. Nume. Anal , vol.6 , pp. 480-492
    • Ortiz, E.L.1
  • 8
    • 38049010230 scopus 로고    scopus 로고
    • On the numerical solution of nonlinear and functional differential equations with the Tau method, In Numerical Treatment of Differential Equations in Applications, Lecture Notes in Math., No. 679, Springer-Verlag, Berlin, pp 127-139 (1978).
    • "On the numerical solution of nonlinear and functional differential equations with the Tau method", In Numerical Treatment of Differential Equations in Applications, Lecture Notes in Math., No. 679, Springer-Verlag, Berlin, pp 127-139 (1978).
  • 9
    • 0037443341 scopus 로고    scopus 로고
    • Numerical solution of a class of integro-differential equations by the Tau method with an error estimation
    • Hosseini, S.M. and Shahmorad, S. "Numerical solution of a class of integro-differential equations by the Tau method with an error estimation", Appl. Math. and Comput., 136, pp 550-570 (2003).
    • (2003) Appl. Math. and Comput , vol.136 , pp. 550-570
    • Hosseini, S.M.1    Shahmorad, S.2
  • 10
    • 26844579638 scopus 로고    scopus 로고
    • Numerical solution of a class of integro-differential equations by the Tau method
    • Ph.D Thesis, Tarbiat Modarres University, Tehran, Iran
    • Shahmorad, S. "Numerical solution of a class of integro-differential equations by the Tau method", Ph.D Thesis, Tarbiat Modarres University, Tehran, Iran (2002).
    • (2002)
    • Shahmorad, S.1
  • 11
    • 0033226060 scopus 로고    scopus 로고
    • The automatic solution to systems of ordinary differential equations by the Tau method
    • Liu, M.K. and Pan, C.K. "The automatic solution to systems of ordinary differential equations by the Tau method", Computers and Mathematics with Applications, 17, pp 197-210 (1999).
    • (1999) Computers and Mathematics with Applications , vol.17 , pp. 197-210
    • Liu, M.K.1    Pan, C.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.