Existence and uniqueness of solutions to discrete diffusion equations

DOI10.1016/S0898-1221(03)00087-7zbMath1077.39014MaRDI QIDQ1827166

Douglas R. Anderson, John M. Davis, Richard I. Avery

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Green's functionpartial difference equationsdiscrete diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Integral representations of solutions to PDEs (35C15) Discrete version of topics in analysis (39A12) General theory of difference equations (39A05)

Related Items (5)

Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations ⋮ The generalized Fourier convolution on time scales ⋮ Time-step heat problem on the mesh: asymptotic behavior and decay rates ⋮ Discrete-space systems of partial dynamic equations and discrete-space wave equation ⋮ Explicit solutions to dynamic diffusion-type equations and their time integrals

Cites Work

• Boundary value problems for partial difference equations
• Fundamental Solutions for Multivariate Difference Equations
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