Abstract
A monotone iterative scheme is developed for the numerical solutions of coupled parabolic systems with time delays. The differential equation system is discretized by the finite difference method. Using upper and lower solutions as initial iterations, we construct two sequences that converge to a unique solution of the discretized system. The convergence and stability of this numerical scheme are also obtained.
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© 2001 Kluwer Academic Publishers
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Lu, X. (2001). Numerical Solutions of Coupled Parabolic Systems with Time Delays. In: Vajravelu, K. (eds) Differential Equations and Nonlinear Mechanics. Mathematics and Its Applications, vol 528. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0277-3_15
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DOI: https://doi.org/10.1007/978-1-4613-0277-3_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-6867-0
Online ISBN: 978-1-4613-0277-3
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