Abstract
Partially-linearized, approximate factorization methods for multidimensional, nonlinear reaction-diffusion problems are presented. These methods first discretize the time derivatives and linearize the equations, and then factorize the multidimensional operators into a sequence of one-dimensional ones. Depending on how the Jacobian matrix is approximated, fully coupled, sequentially coupled or uncoupled, linear, one-dimensional problems are obtained. It is shown that the approximate errors of the linearized techniques presented here are nearly the same, whereas their accuracy depends on the approximation to the Jacobian matrix.
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