On the numerical treatment of an ordinary differential equation arising in one-dimensional non-Fickian diffusion problems

DOI10.1016/j.cpc.2005.04.004zbMath1196.65163OpenAlexW2147082086WikidataQ115358377 ScholiaQ115358377MaRDI QIDQ709782

Juan I. Ramos

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2005.04.004

zbMATH Keywords

ordinary differential equationsboundary-value problemsnon-Fickian diffusionexponential methodspiecewise linearization methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Numerical methods for nonlinear second-order hyperbolic partial differential equations. I: Time-linearized finite difference methods for 1-D problems ⋮ Numerical methods for nonlinear second-order hyperbolic partial differential equations. II: Rothe's techniques for 1-D problems ⋮ Exponential methods for singularly perturbed ordinary differential-difference equations ⋮ A computational method for singularly perturbed nonlinear differential-difference equations with small shift ⋮ Numerical solution of transport equations for plasmas with transport barriers ⋮ Numerical modeling of transport barrier formation

Cites Work

• Analysis of non-Fickian diffusion problems in a composite medium
• On diffusive methods and exponentially fitted techniques
• Ten ways to generate the Il'in and related schemes
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
• Unnamed Item

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