New approach to the numerical solution of forward-backward equations |
| |
| Authors: | Filomena Teodoro Pedro M Lima Neville J Ford Patricia M Lumb |
| |
| Institution: | (1) CEMAT, Instituto Superior Técnico, Lisboa, Portugal;(2) EST, Instituto Politécnico de Setúbal, Setúbal, Portugal;(3) Department of Mathematics, University of Chester, Chester, UK |
| |
| Abstract: | This paper is concerned with the approximate solution of functional differential equations having the form: x′(t) = αx(t) + βx(t - 1) + γx(t + 1). We search for a solution x, defined for t ∈ −1, k], k ∈ ℕ, which takes given values on intervals −1, 0] and (k-1, k]. We introduce and analyse some new computational methods for the solution of this problem. Numerical results are presented
and compared with the results obtained by other methods.
|
| |
| Keywords: | Mixed-type functional differential equations collocation method theta-method method of steps |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
|
