New approach to the numerical solution of forward-backward equations

被引：0
|
作者：
Filomena Teodoro
Pedro M. Lima
Neville J. Ford
Patricia M. Lumb
机构：
[1] Instituto Superior Técnico,CEMAT
[2] Instituto Politécnico de Setúbal,EST
[3] University of Chester,Department of Mathematics
来源：
Frontiers of Mathematics in China | 2009年 / 4卷
关键词：
Mixed-type functional differential equations; collocation method; theta-method; method of steps; 34K06; 34K28; 65Q05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：155 / 168
页数：13
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