Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations.

DOI10.1007/BF02935744zbMath1053.65081OpenAlexW1969580385MaRDI QIDQ1880465

Kannan K. Moudgalya, S. A. V. Manickam, Amiya K. Pani

Publication date: 28 September 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935744

zbMATH Keywords

numerical resultsdifferential-algebraic equationsGalerkin finite element methodmixed finite elementssemilinear reaction-diffusion equationimplicit Runge-Kutta-methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Implicit ordinary differential equations, differential-algebraic equations (34A09) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for differential-algebraic equations (65L80)

Related Items (4)

A new mixed finite element method for Burgers' equation ⋮ An \(H^1\)-Galerkin mixed finite element method for Rosenau equation ⋮ An optimal-order error estimate on anH¹-Galerkin mixed method for a nonlinear parabolic equation in porous medium flow ⋮ An \(H^1\)-Galerkin expanded mixed finite element approximation of second-order nonlinear hyperbolic equations

Uses Software

• RODAS

Cites Work

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• On Optimal Order Error Estimates for the Nonlinear Schrödinger Equation
• Coefficients for the study of Runge-Kutta integration processes
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