메뉴 건너뛰기




Volumn 4, Issue 4, 2008, Pages 250-254

Numerical solution of linear integro-differential equations

Author keywords

Homotopy analysis method; Integro differential equations

Indexed keywords


EID: 65449145591     PISSN: 15493644     EISSN: None     Source Type: Journal    
DOI: 10.3844/jmssp.2008.250.254     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 27944504273 scopus 로고    scopus 로고
    • Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions
    • DOI: 10.1080/00207160412331336044
    • Asady, B. and M.T. Kajani, 2005. Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions. Int. J. Comput. Math., 82: 889-895. DOI: 10.1080/00207160412331336044.
    • (2005) Int. J. Comput. Math , vol.82 , pp. 889-895
    • Asady, B.1    Kajani, M.T.2
  • 2
    • 36048943025 scopus 로고    scopus 로고
    • Numerical solution of integro-differential equations by using CAS wavelet operational matrix of integration
    • DOI: 10.1016/ j.amc.2007.04.048
    • Danfu, H. and S. Xufeng, 2007. Numerical solution of integro-differential equations by using CAS wavelet operational matrix of integration. Applied Math. Comput., 194: 460-466. DOI: 10.1016/ j.amc.2007.04.048.
    • (2007) Applied Math. Comput , vol.194 , pp. 460-466
    • Danfu, H.1    Xufeng, S.2
  • 3
    • 34250740001 scopus 로고    scopus 로고
    • Application of He's homotopy perturbation method for nth-order integro-differential equations
    • DOI: 10.1016/j.amc.2007.02.018
    • Golbabai, A. and M. Javidi, 2007. Application of He's homotopy perturbation method for nth-order integro-differential equations. Applied Math. Comput., 190: 1409-1416. DOI: 10.1016/j.amc.2007.02.018.
    • (2007) Applied Math. Comput , vol.190 , pp. 1409-1416
    • Golbabai, A.1    Javidi, M.2
  • 4
    • 27944433953 scopus 로고    scopus 로고
    • A Taylor collocation method for the solution of linear integro-differential equations
    • DOI: 10.1080/00207160212116
    • Karamete, A. and M. Sezer, 2002. A Taylor collocation method for the solution of linear integro-differential equations. Int. J. Comput. Math., 79: 987-1000. DOI: 10.1080/00207160212116.
    • (2002) Int. J. Comput. Math , vol.79 , pp. 987-1000
    • Karamete, A.1    Sezer, M.2
  • 5
    • 0038451464 scopus 로고    scopus 로고
    • An explicit analytic solution to the Thomas-Fermi equation
    • DOI: 10.1016/ S0096-3003(02)00423-X
    • Liao, S.J., 2003. An explicit analytic solution to the Thomas-Fermi equation. Applied Math. Comput., 144: 495-506. DOI: 10.1016/ S0096-3003(02)00423-X.
    • (2003) Applied Math. Comput , vol.144 , pp. 495-506
    • Liao, S.J.1
  • 7
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • DOI: 10.1016/ S0096-3003(02)00790-7
    • Liao, S.J., 2004. On the homotopy analysis method for nonlinear problems. Applied Math. Comput., 147: 499-513. DOI: 10.1016/ S0096-3003(02)00790-7.
    • (2004) Applied Math. Comput , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 8
    • 33750238918 scopus 로고    scopus 로고
    • Maleknejad, K. and F. Mirzaee, 2006. Numerical solution of integro-differential equations by using rationalized Haar functions method, Kybernetes. Int. J. Syst. Math., 35:1735-1744. DOI: 10.1108/ 03684920610688694.
    • Maleknejad, K. and F. Mirzaee, 2006. Numerical solution of integro-differential equations by using rationalized Haar functions method, Kybernetes. Int. J. Syst. Math., 35:1735-1744. DOI: 10.1108/ 03684920610688694.
  • 9
    • 25644434152 scopus 로고    scopus 로고
    • Numerical solution of the system of Fredholm integro-differential equations by the tau method
    • DOI: 101016/ j.amc.2004.09.026
    • Pour-Mahmoud, J., M.Y. Rahimi-Ardabili and S. Shahmorad, 2005. Numerical solution of the system of Fredholm integro-differential equations by the tau method. Applied Math. Comput., 168: 465-478. DOI: 101016/ j.amc.2004.09.026.
    • (2005) Applied Math. Comput , vol.168 , pp. 465-478
    • Pour-Mahmoud, J.1    Rahimi-Ardabili, M.Y.2    Shahmorad, S.3
  • 10
    • 3943072374 scopus 로고    scopus 로고
    • Numerical solution of functional differential, integral and integro-differential equations
    • DOI: 10.1016/j.amc.2003.08.021
    • Rashed, M.T., 2004. Numerical solution of functional differential, integral and integro-differential equations. Applied Numeric. Math., 156: 485-492. DOI: 10.1016/j.amc.2003.08.021.
    • (2004) Applied Numeric. Math , vol.156 , pp. 485-492
    • Rashed, M.T.1
  • 11
    • 35548948423 scopus 로고    scopus 로고
    • Iterative numerical solution of non-linear integro-differential equations by the Tau method
    • DOI: 10.1016/j.amc.2007.04.002
    • Rahimi-Ardabili, M.Y. and Shahmorad, S., 2007. Iterative numerical solution of non-linear integro-differential equations by the Tau method. Applied Math. Comput., 193: 514-522. DOI: 10.1016/j.amc.2007.04.002.
    • (2007) Applied Math. Comput , vol.193 , pp. 514-522
    • Rahimi-Ardabili, M.Y.1    Shahmorad, S.2
  • 12
    • 23744472619 scopus 로고    scopus 로고
    • Legendre wavelets method for the nonlinear Volterra Fredholm integral equations
    • DOI: 10.1016/j.matcom.2005.02.035
    • Razzaghi, M. and S. Yousefi, 2005. Legendre wavelets method for the nonlinear Volterra Fredholm integral equations. Math. Comput. Simul., 70: 1-8. DOI: 10.1016/j.matcom.2005.02.035.
    • (2005) Math. Comput. Simul , vol.70 , pp. 1-8
    • Razzaghi, M.1    Yousefi, S.2
  • 13
    • 33749117586 scopus 로고    scopus 로고
    • Numerical solution of linear integro-differential equation by using sine-cosine wavelets
    • DOI: 10.1016/ j.amc.2005.12.044
    • Tavassoli Kajani, M., M. Ghasemi and E. Babolian, 2006. Numerical solution of linear integro-differential equation by using sine-cosine wavelets. Applied Math. Comput., 180: 569-574. DOI: 10.1016/ j.amc.2005.12.044.
    • (2006) Applied Math. Comput , vol.180 , pp. 569-574
    • Tavassoli Kajani, M.1    Ghasemi, M.2    Babolian, E.3
  • 14
    • 31144472830 scopus 로고    scopus 로고
    • An algorithm for solving the higher-order nonlinear Volterra-Fredholm integro-differential equation with mechanization
    • DOI: 10.1016/j.amc.2005.01.116
    • Wang, W., 2006. An algorithm for solving the higher-order nonlinear Volterra-Fredholm integro-differential equation with mechanization. Applied Math. Comput., 172: 1-23. DOI: 10.1016/j.amc.2005.01.116.
    • (2006) Applied Math. Comput , vol.172 , pp. 1-23
    • Wang, W.1
  • 15
    • 34447254290 scopus 로고    scopus 로고
    • Variational iteration method for solving integro-differential equations
    • DOI: 10.1016/j.physleta.2007.02.049
    • Wang, S. and J. He, 2007. Variational iteration method for solving integro-differential equations. Phys. Lett. A, 367: 188-191. DOI: 10.1016/j.physleta.2007.02.049.
    • (2007) Phys. Lett. A , vol.367 , pp. 188-191
    • Wang, S.1    He, J.2
  • 16
    • 33744519384 scopus 로고    scopus 로고
    • Compact finite difference method for integro-differential equations
    • DOI: 10.1016/j.amc.2005.11.007
    • Zhao, J. and R.M. Corless, 2006. Compact finite difference method for integro-differential equations. Applied Math. Comput., 177: 271-288. DOI: 10.1016/j.amc.2005.11.007.
    • (2006) Applied Math. Comput , vol.177 , pp. 271-288
    • Zhao, J.1    Corless, R.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.