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Volumn 14, Issue 4, 2009, Pages 1008-1012

Solution of prey-predator problem by numeric-analytic technique

Author keywords

Adomian decomposition method; Non linear ODEs; Prey predator problem

Indexed keywords

PREDATOR PREY SYSTEMS;

EID: 55549111857     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.11.006     Document Type: Article
Times cited : (15)

References (19)
  • 2
    • 13544262347 scopus 로고    scopus 로고
    • A computational method for solution of the prey and predator problem
    • Biazar J., and Montazeri R. A computational method for solution of the prey and predator problem. Appl Math Comput 163 (2005) 841-847
    • (2005) Appl Math Comput , vol.163 , pp. 841-847
    • Biazar, J.1    Montazeri, R.2
  • 3
    • 28444459495 scopus 로고    scopus 로고
    • A new approach to the solution of the prey and predator problem and comparison of the results with Adomian decomposition method
    • Biazar J., Ilie M., and Khoshkenar A. A new approach to the solution of the prey and predator problem and comparison of the results with Adomian decomposition method. Appl Math Comput 173 (2005) 486-491
    • (2005) Appl Math Comput , vol.173 , pp. 486-491
    • Biazar, J.1    Ilie, M.2    Khoshkenar, A.3
  • 6
    • 0002588102 scopus 로고
    • Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method
    • Répaci A. Nonlinear dynamical systems: on the accuracy of Adomian's decomposition method. Appl Math Lett 3 (1990) 35-39
    • (1990) Appl Math Lett , vol.3 , pp. 35-39
    • Répaci, A.1
  • 7
    • 0028496495 scopus 로고
    • An accurate solution to the multispecies Lotka-Volterra equations
    • Olek S. An accurate solution to the multispecies Lotka-Volterra equations. SIAM Rev 36 (1994) 480-488
    • (1994) SIAM Rev , vol.36 , pp. 480-488
    • Olek, S.1
  • 8
    • 85196205805 scopus 로고    scopus 로고
    • Ruan J, Lu Z. A modified algorithm for Adomian decomposition method with applications to Lotka-Volterra systems. Math Comput Model [in press].
    • Ruan J, Lu Z. A modified algorithm for Adomian decomposition method with applications to Lotka-Volterra systems. Math Comput Model [in press].
  • 9
    • 0034145059 scopus 로고    scopus 로고
    • Convergence and accuracy of Adomian's decomposition method for the solution of lorenz equation
    • Vadasz P., and Olek S. Convergence and accuracy of Adomian's decomposition method for the solution of lorenz equation. Int J Heat Mass Transfer 43 (2000) 1715-1734
    • (2000) Int J Heat Mass Transfer , vol.43 , pp. 1715-1734
    • Vadasz, P.1    Olek, S.2
  • 10
    • 50349085360 scopus 로고    scopus 로고
    • Abdulaziz O, Noor NFM, Hashim I, Noorani MSM, Further accuracy tests on Adomian decomposition method for chaotic systems. Chaos Solitons Fract doi:10.1016/j.chaos.2006.09.007.
    • Abdulaziz O, Noor NFM, Hashim I, Noorani MSM, Further accuracy tests on Adomian decomposition method for chaotic systems. Chaos Solitons Fract doi:10.1016/j.chaos.2006.09.007.
  • 11
    • 33750433241 scopus 로고    scopus 로고
    • An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillations
    • Ghosh S., Roy A., and Roy D. An adaptation of Adomian decomposition for numeric-analytic integration of strongly nonlinear and chaotic oscillations. Comput Meth Appl Mech Eng 196 (2007) 1133-1153
    • (2007) Comput Meth Appl Mech Eng , vol.196 , pp. 1133-1153
    • Ghosh, S.1    Roy, A.2    Roy, D.3
  • 12
    • 0031072223 scopus 로고    scopus 로고
    • Numerical study of Lorenz's equation by Adomian method
    • Guellal S., Grimalt P., and Cherruault Y. Numerical study of Lorenz's equation by Adomian method. Comput Math Appl 33 (1997) 25-29
    • (1997) Comput Math Appl , vol.33 , pp. 25-29
    • Guellal, S.1    Grimalt, P.2    Cherruault, Y.3
  • 14
    • 1642290056 scopus 로고    scopus 로고
    • Comparing numerical methods for the solutions of systems of ordinary differential equations
    • Shawagfeh N., and Kaya D. Comparing numerical methods for the solutions of systems of ordinary differential equations. Appl Math Lett 17 (2004) 323-328
    • (2004) Appl Math Lett , vol.17 , pp. 323-328
    • Shawagfeh, N.1    Kaya, D.2
  • 16
    • 12944331178 scopus 로고    scopus 로고
    • Solution of the Haldane equation for substrate inhibition enzyme kinetics using the decomposition method
    • Sonnad J.R., and Goudar C.T. Solution of the Haldane equation for substrate inhibition enzyme kinetics using the decomposition method. Math Comput Model 40 (2004) 573-582
    • (2004) Math Comput Model , vol.40 , pp. 573-582
    • Sonnad, J.R.1    Goudar, C.T.2
  • 18
    • 0019054174 scopus 로고
    • On Taylor series and stiff equations
    • Barton D. On Taylor series and stiff equations. ACM Trans Math Soft 6 (1980) 280-294
    • (1980) ACM Trans Math Soft , vol.6 , pp. 280-294
    • Barton, D.1
  • 19
    • 33746878203 scopus 로고    scopus 로고
    • Integral transform solution for natural convection in three-dimensional porous cavities: aspect ratio effects
    • Luz Neto H., Quaresma J.N.N., and Cotta R.M. Integral transform solution for natural convection in three-dimensional porous cavities: aspect ratio effects. Int J Heat Mass Transfer 49 (2006) 4687-4695
    • (2006) Int J Heat Mass Transfer , vol.49 , pp. 4687-4695
    • Luz Neto, H.1    Quaresma, J.N.N.2    Cotta, R.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.