The equimaterial approach for the numerical solution of the one dimensional transient diffusion equation with zero flux boundary conditions

DOI10.1016/j.amc.2011.04.087zbMath1229.65157OpenAlexW2029183995MaRDI QIDQ648328

Juan-Miguel Gracia

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.087

zbMATH Keywords

numerical resultsdiffusion equationfinite differencesmoving gridvariables transformation

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods
• High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
• On the stability of mesh equidistribution strategies for time-dependent partial differential equations
• A \(P\)-stable exponentially fitted method for the numerical integration of the Schrödinger equation
• Quasi-Monte Carlo algorithms for diffusion equations in high dimensions
• A higher-order eulerian scheme for coupled advection-diffusion transport
• Mesh Modification for Evolution Equations
• On the numerical solution of the Burgers's equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The equimaterial approach for the numerical solution of the one dimensional transient diffusion equation with zero flux boundary conditions