Abstract
A number of authors have studied the numerical calculation of time-dependent and steady-state solutions of reaction-diffusion equations, i.e. equations of the form (c.f. De Dier and Roose 1986, Fijii et al. 1982, Manoranjan 1984, Eilbeck 1986),
where u(x,t) ε ℝk; x ε Ω c ⊂ ℝn, n = 1,2 or 3; d is a k × k (usually diagonal) matrix of diffusion coefficients; α1,…αm are parameters, and F is a nonlinear function F: ℝk × ℝm → ℝk.
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References
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© 1987 Birkhäuser Verlag Basel
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Eilbeck, J.C. (1987). Numerical Studies of Bifurcation in Reaction-Diffusion Models Using Pseudo-Spectral and Path-Following Methods. In: Küpper, T., Seydel, R., Troger, H. (eds) Bifurcation: Analysis, Algorithms, Applications. ISNM 79: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 79. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7241-6_6
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DOI: https://doi.org/10.1007/978-3-0348-7241-6_6
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