Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems

DOI10.14492/hokmj/1350911871zbMath1011.65067OpenAlexW2049984506MaRDI QIDQ700247

Etsushi Nakaguchi, Atsushi Yagi

Publication date: 14 May 2003

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1350911871

zbMATH Keywords

stabilityerror estimateschemotaxisGalerkin finite element methodpopulation dynamicsimplicit Runge-Kutta methodsquasilinear parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15)

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