메뉴 건너뛰기




Volumn 87, Issue 6, 2010, Pages 1277-1288

Approximate solution of a class of linear integro-differential equations by Taylor expansion method

Author keywords

Approximate solution; Fredholm equations; Integro differential equations; Taylor expansion; Volterra equations

Indexed keywords

APPROXIMATE SOLUTION; FREDHOLM EQUATION; INITIAL CONDITIONS; LINEAR INTEGRO-DIFFERENTIAL EQUATIONS; SYSTEM OF LINEAR EQUATIONS; TAYLOR EXPANSION METHOD; TAYLOR EXPANSIONS; VOLTERRA EQUATION;

EID: 77952211610     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160802275969     Document Type: Article
Times cited : (18)

References (19)
  • 2
    • 0031166382 scopus 로고    scopus 로고
    • Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution
    • H. Brunner, A. Makroglou, and R.K. Miller, Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution, Appl. Numer. Math. 23 (1997), pp. 381-402.
    • (1997) Appl. Numer. Math. , vol.23 , pp. 381-402
    • Brunner, H.1    Makroglou, A.2    Miller, R.K.3
  • 4
    • 0012899160 scopus 로고    scopus 로고
    • Numerical solution of the Bagley-Torvik equation
    • K. Diethelm and N.J. Ford, Numerical solution of the Bagley-Torvik equation, BIT 42 (2002), pp. 490-507.
    • (2002) BIT , vol.42 , pp. 490-507
    • Diethelm, K.1    Ford, N.J.2
  • 5
    • 0031537729 scopus 로고    scopus 로고
    • Iterated solutions of linear operator equations with the Tau method
    • M.K. El-Daou and H.G. Khajah, Iterated solutions of linear operator equations with the Tau method, Math. Comp. 66 (1997), pp. 207-213.
    • (1997) Math. Comp. , vol.66 , pp. 207-213
    • El-Daou, M.K.1    Khajah, H.G.2
  • 6
    • 0037443341 scopus 로고    scopus 로고
    • Numerical solution of a class of Integro-Differential equations by the Tau Method with an error estimation
    • DOI 10.1016/S0096-3003(02)00081-4, PII S0096300302000814
    • S.M. Hosseini and S. Shahmorad, Numerical solution of a class of integro-differential equations by the Tau method with an error estimation, Appl. Math. Comp. 136 (2003), pp. 559-570. (Pubitemid 35276466)
    • (2003) Applied Mathematics and Computation , vol.136 , Issue.2-3 , pp. 559-570
    • Hosseini, S.M.1    Shahmorad, S.2
  • 7
    • 0037293897 scopus 로고    scopus 로고
    • Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
    • DOI 10.1016/S0307-904X(02)00099-9, PII S0307904X02000999
    • S.M. Hosseini and S. Shahmorad, Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases, Appl. Math. Model. 27 (2003), pp. 145-154. (Pubitemid 36059507)
    • (2003) Applied Mathematical Modelling , vol.27 , Issue.2 , pp. 145-154
    • Hosseini, S.M.1    Shahmorad, S.2
  • 8
    • 0040714267 scopus 로고    scopus 로고
    • Interpolation correction for collocation solutions of Fredholm integro-defferential equations
    • Q. Hu, Interpolation correction for collocation solutions of Fredholm integro-differential equation, Math. Comp. 223 (1998), pp. 987-999. (Pubitemid 128382327)
    • (1998) Mathematics of Computation , vol.67 , Issue.223 , pp. 987-999
    • Hu, Q.1
  • 9
    • 48049097506 scopus 로고    scopus 로고
    • Approximate solution of Abel integral equation
    • L. Huang,Y. Huang, and X.-F. Li, Approximate solution of Abel integral equation, Comput. Math. Appl. 156 (2008), pp. 1748-1757.
    • (2008) Comput. Math. Appl. , vol.156 , pp. 1748-1757
    • Huang, L.1    Huang, Y.2    Li, X.-F.3
  • 10
    • 0042641466 scopus 로고    scopus 로고
    • Chebyshev series solution of linear Fredholm integro-differential equations
    • H. Koroglu, Chebyshev series solution of linear Fredholm integro-differential equations, Int. J. Math. Educ. Sci. Technol. 29 (1998), pp. 489-500.
    • (1998) Int. J. Math. Educ. Sci. Technol. , vol.29 , pp. 489-500
    • Koroglu, H.1
  • 12
    • 34547775142 scopus 로고    scopus 로고
    • Modified method for determining an approximate solution of the Fredholm-Volterra integral equations by Taylor's expansion
    • X.-F. Li and M. Fang, Modified method for determining an approximate solution of the Fredholm-Volterra integral equations by Taylor's expansion, Int. J. Comp. Math. 83 (2006), pp. 637-649.
    • (2006) Int. J. Comp. Math. , vol.83 , pp. 637-649
    • Li, X.-F.1    Fang, M.2
  • 13
    • 78449241111 scopus 로고    scopus 로고
    • A new Abel inversion by means of the integrals of an input function with noise
    • X.-F. Li, L. Huang, and Y. Huang, A new Abel inversion by means of the integrals of an input function with noise, J. Phys. A: Math. Theor. 40 (2007), pp. 347-360.
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 347-360
    • Li, X.-F.1    Huang, L.2    Huang, Y.3
  • 14
    • 25644449925 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving high-order linear Fredholm integrodifferential equations
    • S. Nas, S.Yalcinbas, and M. Sezer, A Taylor polynomial approach for solving high-order linear Fredholm integrodifferential equations, Int. J. Math. Educ. Sci. Technol. 31 (2000), pp. 213-225.
    • (2000) Int. J. Math. Educ. Sci. Technol. , vol.31 , pp. 213-225
    • Nas, S.1    Yalcinbas, S.2    Sezer, M.3
  • 15
    • 0037809668 scopus 로고    scopus 로고
    • Numerical solution of a special type of integro-differential equations
    • M.T. Rashed, Numerical solution of a special type of integro-differential equations, Appl. Math. Comp. 143 (2003), pp. 73-88.
    • (2003) Appl. Math. Comp. , vol.143 , pp. 73-88
    • Rashed, M.T.1
  • 16
    • 0033353533 scopus 로고    scopus 로고
    • A simple Taylor-series expansion method for a class of sencond kind integral equations
    • Y. Ren, B. Zhang, and H. Qiao, A simple Taylor-series expansion method for a class of sencond kind integral equations, J. Comp. Appl. Math. 110 (1999), pp. 15-24.
    • (1999) J. Comp. Appl. Math. , vol.110 , pp. 15-24
    • Ren, Y.1    Zhang, B.2    Qiao, H.3
  • 17
    • 36048937303 scopus 로고    scopus 로고
    • A new method for determining the solution of Riccati differential equations
    • B.-Q. Tang and X.-F. Li, A new method for determining the solution of Riccati differential equations, Appl. Math. Comp. 194 (2007), pp. 431-440.
    • (2007) Appl. Math. Comp. , vol.194 , pp. 431-440
    • Tang, B.-Q.1    Li, X.-F.2
  • 18
    • 0023842475 scopus 로고
    • The iterated Galerkin methods for linear integro-differential equations
    • W. Volk, The iterated Galerkin methods for linear integro-differential equations, J Comp. Appl. Math. 21 (1988), pp. 63-74.
    • (1988) J Comp. Appl. Math. , vol.21 , pp. 63-74
    • Volk, W.1
  • 19
    • 0000992795 scopus 로고    scopus 로고
    • The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials
    • S. Yalcinbas and M. Sezer, The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials, Appl. Math. Comp. 112 (2000), pp. 291-308.
    • (2000) Appl. Math. Comp. , vol.112 , pp. 291-308
    • Yalcinbas, S.1    Sezer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.