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Volumn 34, Issue 14, 2011, Pages 1733-1738

Approximations of the nonlinear Volterra's population model by an efficient numerical method

Author keywords

growth; integro differential equation; new homotopy perturbation method (NHPM); population; toxin

Indexed keywords

ANALYTICAL PROCEDURE; CLOSED SYSTEMS; EFFICIENT NUMERICAL METHOD; HOMOTOPY PERTURBATION METHOD; INTEGRAL TERMS; NEW HOMOTOPY PERTURBATION METHOD (NHPM); NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL RESULTS; POPULATION; POPULATION GROWTH; POPULATION MODEL; TOXIN; TWO-COMPONENT; VOLTERRA;

EID: 80052264178     PISSN: 01704214     EISSN: 10991476     Source Type: Journal    
DOI: 10.1002/mma.1479     Document Type: Article
Times cited : (9)

References (20)
  • 2
    • 78649535365 scopus 로고
    • Population growth in a closed system
    • Small RD,. Population growth in a closed system. SIAM Review 1983; 25 1: 93-95.
    • (1983) SIAM Review , vol.25 , Issue.1 , pp. 93-95
    • Small, R.D.1
  • 3
    • 0347758632 scopus 로고    scopus 로고
    • Rational Chebyshev tau method for solving Volterra's population model
    • Parand K, Razzaghi M,. Rational Chebyshev tau method for solving Volterra's population model. Applied Mathematics and Computation 2004; 149: 893-900.
    • (2004) Applied Mathematics and Computation , vol.149 , pp. 893-900
    • Parand, K.1    Razzaghi, M.2
  • 4
    • 0031238061 scopus 로고    scopus 로고
    • Numerical and analytical solutions of Volterra's population model
    • Te Beest KG,. Numerical and analytical solutions of Volterra's population model. SIAM Review 1997; 39 3: 484-493.
    • (1997) SIAM Review , vol.39 , Issue.3 , pp. 484-493
    • Te Beest, K.G.1
  • 5
    • 9544231668 scopus 로고    scopus 로고
    • Numerical approximations for population growth models
    • Al-Khaled K,. Numerical approximations for population growth models. Applied Mathematics and Computation 2005; 160 3: 865-873.
    • (2005) Applied Mathematics and Computation , vol.160 , Issue.3 , pp. 865-873
    • Al-Khaled, K.1
  • 6
    • 0002811385 scopus 로고    scopus 로고
    • Analytical approximations and Padé approximants for Volterra's population model
    • Wazwaz AM,. Analytical approximations and Padé approximants for Volterra's population model. Applied Mathematics and Computation 1999; 100 1: 13-25.
    • (1999) Applied Mathematics and Computation , vol.100 , Issue.1 , pp. 13-25
    • Wazwaz, A.M.1
  • 7
    • 38849189268 scopus 로고    scopus 로고
    • Solving Volterra's population model using new second derivative multistep methods
    • Parand K, Hojjati G,. Solving Volterra's population model using new second derivative multistep methods. American Journal of Applieed Sciences 2008; 5 8: 1019-1022.
    • (2008) American Journal of Applieed Sciences , vol.5 , Issue.8 , pp. 1019-1022
    • Parand, K.1    Hojjati, G.2
  • 8
    • 34147127712 scopus 로고    scopus 로고
    • Composite spectral functions for solving Volterra's population model
    • DOI 10.1016/j.chaos.2006.03.067, PII S0960077906002852
    • Ramezan M, Razzaghi M, Dehghan M,. Composite spectral functions for solving Volterra's population model. Chaos, Solitons and Fractals 2007; 34 2: 588-593. (Pubitemid 46561300)
    • (2007) Chaos, Solitons and Fractals , vol.34 , Issue.2 , pp. 588-593
    • Ramezani, M.1    Razzaghi, M.2    Dehghan, M.3
  • 10
    • 59349086401 scopus 로고    scopus 로고
    • Solution of Volterra's population model via block-pulse functions and Lagrange-interpolating polynomials
    • Marzban HR, Hoseini SM, Razzaghi M,. Solution of Volterra's population model via block-pulse functions and Lagrange-interpolating polynomials. Mathematical Methods in the Applied Sciences 2009; 32: 127-134.
    • (2009) Mathematical Methods in the Applied Sciences , vol.32 , pp. 127-134
    • Marzban, H.R.1    Hoseini, S.M.2    Razzaghi, M.3
  • 13
    • 79955474354 scopus 로고    scopus 로고
    • An efficient approach for solving the Riccati equation with fractional orders
    • DOI: 10.1016/j.camwa.2011.03017, (to appear in print).
    • Khan NA, Ara A, Jamil M,. An efficient approach for solving the Riccati equation with fractional orders. Computers and Mathematics With Applications, DOI: 10.1016/j.camwa.2011.03017, (to appear in print).
    • Computers and Mathematics with Applications
    • Khan, N.A.1    Ara, A.2    Jamil, M.3
  • 16
    • 0033702384 scopus 로고    scopus 로고
    • A coupling method of a homotopy technique and a perturbation technique for non-linear problems
    • He JH,. A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-linear Mechanics 2000; 35: 37-43.
    • (2000) International Journal of Non-linear Mechanics , vol.35 , pp. 37-43
    • He, J.H.1
  • 17
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • He JH,. Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computation 2003; 135: 73-79.
    • (2003) Applied Mathematics and Computation , vol.135 , pp. 73-79
    • He, J.H.1
  • 20
    • 72449153908 scopus 로고    scopus 로고
    • Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods
    • Khan NA, Ara A, Ali SA, Mahmood A,. Analytical study of Navier-Stokes equation with fractional orders using He's homotopy perturbation and variational iteration methods. International Journal of Non-linear Sciences and Numerical Simulation 2009; 10: 1127-1134.
    • (2009) International Journal of Non-linear Sciences and Numerical Simulation , vol.10 , pp. 1127-1134
    • Khan, N.A.1    Ara, A.2    Ali, S.A.3    Mahmood, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.