Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473481 | Computers & Mathematics with Applications | 2008 | 11 Pages |
Abstract
This work deals with the construction of analytic-numerical solutions of mixed problems for diffusion and reaction-diffusion equations with delay. Using the method of separation of variables, exact theoretical infinite series solutions are derived. Bounds on the truncation errors, when these series are approximated by finite sums, are given, thus providing constructive continuous numerical solutions with prescribed accuracy in bounded domains. In order to improve the computational efficiency of these numerical solutions, polynomial approximations to the initial functions are also considered.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Elia Reyes, Francisco Rodríguez, José Antonio Martín,