On some explicit non-standard methods to approximate nonnegative solutions of a weakly hyperbolic equation with logistic nonlinearity

DOI10.1080/00207160.2011.592939zbMath1242.65166OpenAlexW2014361151MaRDI QIDQ2885551

Ashok Puri, Jorge Eduardo Macías-Díaz

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.592939

zbMATH Keywords

numerical examplespositivitynonnegative solutionsfinite-difference schememathematical biologylogistic nonlinearitynonlinear reactionnon-standard methodweakly hyperbolic equationequation of Fisher-Kolmogorov-Petrovsky-Piscounov

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General biology and biomathematics (92B05)

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