Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776409 | Journal of Computational and Applied Mathematics | 2017 | 16 Pages |
Abstract
We consider the initial value problem {dudt+Au(t)=f(u(t),u(tâw)),tâ¥0,u(t)=Ï(t),âwâ¤tâ¤0 in a Banach space E with the positive operator A. Theorem on the existence and uniqueness of a bounded solution of this problem is established for a nonlinear evolutionary equation with time delay. The application of the main theorem for four different nonlinear partial differential equations with time delay is shown. The first and second order of accuracy difference schemes for the solution of one dimensional nonlinear parabolic equation with time delay are presented. Numerical results are provided.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Allaberen Ashyralyev, Deniz Agirseven, Burcu Ceylan,