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Volumn 175, Issue 1 SPEC. ISS., 2005, Pages 11-29

On non-standard finite difference models of reaction-diffusion equations

Author keywords

Energy preserving schemes; Non standard finite difference method; Qualitative stability; Reaction diffusion equations; Spectral methods; Theta methods

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 11044227566     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.06.002     Document Type: Article
Times cited : (54)

References (15)
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    • Non-standard discretization methods for some biological models
    • R.E. Mickens (Eds.) World Scientific Singapore
    • H. Al-Kahby F. Dannan S. Elaydi Non-standard discretization methods for some biological models In: R.E. Mickens (Eds.) Applications of Nonstandard Finite Difference Schemes 2000 World Scientific Singapore 155-180
    • (2000) Applications of Nonstandard Finite Difference Schemes , pp. 155-180
    • Al-Kahby, H.1    Dannan, F.2    Elaydi, S.3
  • 3
    • 0035449292 scopus 로고    scopus 로고
    • Contributions to the mathematics of the nonstandard finite difference method and applications
    • R. Anguelov J.M.-S. Lubuma Contributions to the mathematics of the nonstandard finite difference method and applications Numer. Methods Partial Differential Equations 17 2001 518-543
    • (2001) Numer. Methods Partial Differential Equations , vol.17 , pp. 518-543
    • Anguelov, R.1    Lubuma, J.M.-S.2
  • 4
    • 0037472545 scopus 로고    scopus 로고
    • Nonstandard finite difference methods by nonlocal approximation
    • R. Anguelov J.M-S. Lubuma Nonstandard finite difference methods by nonlocal approximation Math. Comput. Simulation 61 2003 465-475
    • (2003) Math. Comput. Simulation , vol.61 , pp. 465-475
    • Anguelov, R.1    Lubuma, J.M.-S.2
  • 5
    • 0042284838 scopus 로고    scopus 로고
    • Qualitatively stable finite difference schemes for advection-reaction equations
    • R. Anguelov J.M.-S. Lubuma S.K. Mahudu Qualitatively stable finite difference schemes for advection-reaction equations J. Comput. Appl. Math. 158 2003 19-30
    • (2003) J. Comput. Appl. Math. , vol.158 , pp. 19-30
    • Anguelov, R.1    Lubuma, J.M.-S.2    Mahudu, S.K.3
  • 7
    • 0012741562 scopus 로고    scopus 로고
    • Nonstandard methods for advection-diffusion-reaction equations
    • R.E. Mickens (Eds.) World Scientific Singapore
    • H.V. Kojouharov B.M. Chen Nonstandard methods for advection-diffusion-reaction equations In: R.E. Mickens (Eds.) Applications of Nonstandard Finite Difference Schemes 2000 World Scientific Singapore 55-108
    • (2000) Applications of Nonstandard Finite Difference Schemes , pp. 55-108
    • Kojouharov, H.V.1    Chen, B.M.2
  • 9
    • 0141457690 scopus 로고    scopus 로고
    • An improved theta-method for systems of ordinary differential equations
    • J.M-S. Lubuma A. Roux An improved theta-method for systems of ordinary differential equations J. Difference equations Appl. 9 2003 1023-1035
    • (2003) J. Difference Equations Appl. , vol.9 , pp. 1023-1035
    • Lubuma, J.M.-S.1    Roux, A.2
  • 11
    • 0008515570 scopus 로고    scopus 로고
    • Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation
    • R.E. Mickens Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation Numer. Methods Partial Differential Equations 13 1997 51-55
    • (1997) Numer. Methods Partial Differential Equations , vol.13 , pp. 51-55
    • Mickens, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.