Linearization methods for reaction-diffusion equations: Multidimensional problems
type: Item
instance of: scholarly article
title: Linearization methods for reaction-diffusion equations: Multidimensional problems
zbMATH Open document ID: 0904.65089
DOI: 10.1016/S0096-3003(96)00327-X
published in: Applied Mathematics and Computation
publication date: 1999-01-19T00:00:00Z
review text: The paper is a generalization of the foregoing title by the same author [ibid. 88, No. 2-3, 199-224 (1997; reviewed above)] to multidimensional problems. For this, approximate factorization as well as operator-splitting techniques are employed. The author presents four linear methods for solving the equation \[ u_t- \Delta u=f(u) \] numerically. Discretization is done both in space and time or only in space or time. The paper closes with some numerical tests.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 1183218
zbMATH Keywords: linearization methods
zbMATH Keywords: multidimensional problems
zbMATH Keywords: reaction-diffusion problem
zbMATH Keywords: finite difference method
zbMATH Keywords: method of lines
zbMATH Keywords: Rothe method
zbMATH Keywords: operator splitting
zbMATH Keywords: numerical examples
author: Juan I. Ramos
reviewed by: Etienne Emmrich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1183218