Numerical solving nonlinear integro-parabolic equations by the monotone weighted average method

Igor Boglaev

Applied Mathematics and Computation, 2016, vol. 274, issue C, 152-162

Abstract: The paper deals with numerical solving nonlinear integro-parabolic problems of Volterra type based on the weighted average method. A monotone iterative method is presented. Construction of initial upper and lower solutions is given. Existence and uniqueness of a solution to the nonlinear difference scheme are established. An analysis of convergence rates of the monotone iterative method is given. Numerical experiments are presented.

Keywords: Nonlinear integro-parabolic equations of Volterra type; Nonlinear difference schemes; The weighted average method; Monotone iterative method; Upper and lower solutions (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:152-162

DOI: 10.1016/j.amc.2015.11.013

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