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Volumn 10, Issue 2, 1997, Pages 1-5

A comparison of two numerical methods for oscillatory reaction-diffusion systems

Author keywords

Crank Nicolson method; Gear's method; Periodic waves; Reaction diffusion equations; Scientific computing; Traveling waves

Indexed keywords


EID: 0039384086     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00001-3     Document Type: Article
Times cited : (8)

References (15)
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    • Atri, A.1    Amundson, J.2    Clapham, D.3    Sneyd, J.4
  • 5
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    • On the evolution of periodic plane waves in reaction-diffusion equations of λ-ω; type
    • J.A. Sherratt, On the evolution of periodic plane waves in reaction-diffusion equations of λ-ω; type, SIAM J. Appl. Math. 54, 1374-1385, (1994).
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    • Sherratt, J.A.1
  • 6
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    • Irregular wakes in reaction-diffusion waves
    • J.A. Sherratt, Irregular wakes in reaction-diffusion waves, Physica D 70, 370-382, (1994).
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    • Sherratt, J.A.1
  • 7
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    • Small amplitude stable wavetrains in reaction-diffusion systems
    • G.B. Ermentrout, Small amplitude stable wavetrains in reaction-diffusion systems, Lect. Notes Pure Appl. Math. 54, 217-228, (1980).
    • (1980) Lect. Notes Pure Appl. Math. , vol.54 , pp. 217-228
    • Ermentrout, G.B.1
  • 8
    • 0000588222 scopus 로고
    • Plane wave solutions to reaction-diffusion equations
    • N. Kopell and L.N. Howard, Plane wave solutions to reaction-diffusion equations, Stud. Appl. Math. 52, 291-328, (1973).
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    • Kopell, N.1    Howard, L.N.2
  • 9
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type
    • J. Crank and P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type, Proc. Camb. Phil. Soc. 43, 50-67, (1947).
    • (1947) Proc. Camb. Phil. Soc. , vol.43 , pp. 50-67
    • Crank, J.1    Nicolson, P.2
  • 10
    • 0039291305 scopus 로고
    • Convergence and stability analysis of an explicit finite-difference method for two-dimensional reaction-diffusion equations
    • N. Li, J. Steiner and S.M. Tang, Convergence and stability analysis of an explicit finite-difference method for two-dimensional reaction-diffusion equations, J. Austr. Math. Soc. B 36, 234-241, (1994).
    • (1994) J. Austr. Math. Soc. B , vol.36 , pp. 234-241
    • Li, N.1    Steiner, J.2    Tang, S.M.3
  • 11
    • 0001737039 scopus 로고
    • Implicit explicit methods for time-dependent partial differential equations
    • U.M. Ascher, S.J. Ruuth and B.T.R. Wetton, Implicit explicit methods for time-dependent partial differential equations, SIAM J. Num. Anal. 32, 797-823, (1995).
    • (1995) SIAM J. Num. Anal. , vol.32 , pp. 797-823
    • Ascher, U.M.1    Ruuth, S.J.2    Wetton, B.T.R.3
  • 13
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    • A set of library routines for the numerical solution of parabolic equations in one space variable
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    • P.M. Dew and J.E. Walsh, A set of library routines for the numerical solution of parabolic equations in one space variable, Numerical Analysis Report 49, Department of Mathematics, University of Manchester, UK.
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    • Dew, P.M.1    Walsh, J.E.2
  • 15
    • 0039883314 scopus 로고
    • Unstable wavetrains and chaotic wakes in reaction-diffusion systems of λ-ω type
    • J.A. Sherratt, Unstable wavetrains and chaotic wakes in reaction-diffusion systems of λ-ω type, Physica D 82, 165-179, (1995).
    • (1995) Physica D , vol.82 , pp. 165-179
    • Sherratt, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.