Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419935 | Applied Mathematics and Computation | 2016 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Igor Boglaev,