
An iterative predictor-corrector technique for the elimination of the approximate factorization errors which result from the factorization of linearized theta-methods in multidimensional reaction-diffusion equations is proposed, and its convergence and linear stability analyzed. Four approximate factorization techniques which do not account for the approximate factorization errors are developed.
reaction-diffusion equations, convergence, Reaction-diffusion equations, predictor-corrector methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, theta-methods, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
reaction-diffusion equations, convergence, Reaction-diffusion equations, predictor-corrector methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, theta-methods, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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