On Approximate Solutions to the Wavefront Speed Problem |
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| Authors: | Joaquim Fort Vicenç Méndez |
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| Affiliation: | (1) Departament de Física, Universitat de Girona, Campus de Montilivi, 17071 Girona, Catalonia, Spain;(2) Facultat de Ciències de la Salut, Universitat Internacional de Catalunya, c/Gomera s/n, 08190 Sant Cugat del Vallès, Catalonia, Spain |
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| Abstract: | We propose an approximate method to obtain the speed of wavefronts. It is built up from a known variational principle. For a range of systems of biological and physical interest, comparison to previously-known solutions and to numerical simulations shows the powerfulness of our approximate technique. For time-delayed equations, we also propose an alternative approximate solution, based on the renormalization group approach, and we compare both approximations. |
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| Keywords: | wavefronts speed selection variational principles time-delayed diffusion |
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