Reliable numerical schemes for a linear diffusion equation on a nonsmooth domain

DOI10.1016/j.aml.2010.01.008zbMath1188.65133OpenAlexW2006282235MaRDI QIDQ968542

Jean M.-S. Lubuma, Jules K. Djoko, Pius W. M. Chin

Publication date: 5 May 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.01.008

zbMATH Keywords

regularityconvergenceheat equationfinite element methodnumerical examplessingularityFourier seriesnon-standard finite difference methodlinear reaction-diffusion equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items (4)

The analysis of the solution of the <scp>Burgers–Huxley</scp> equation using the Galerkin method ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ The analysis of an efficient numerical scheme for the Allen-Cahn equations using the Galerkin method ⋮ The Study of the Numerical Treatment of the Real Ginzburg–Landau Equation Using the Galerkin Method

Cites Work

• Galerkin finite element methods for parabolic problems
• Contributions to the mathematics of the nonstandard finite difference method and applications
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• The Fourier-Finite-Element Method for Poisson’s Equation in Axisymmetric Domains with Edges
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