Analytical and numerical investigation of mixed-type functional differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Lima, Pedro M.¹  Teodoro, M. Filomena²  Ford, Neville J.³  Lumb, Patricia M.³ 

[1] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, CEMAT, P-1049001 Lisbon, Portugal

[2] Inst Politecn Setubal, EST, Dept Matemat, P-2910761 Setubal, Portugal

[3] Univ Chester, Dept Math, Chester CH1 4BJ, Cheshire, England

关键词: Mixed-type functional differential equation;    Method of steps;    Collocation method;    Splines;    Least squares method;   

DOI  :  10.1016/j.cam.2010.01.028

来源: Elsevier

【 摘 要 】

This paper is concerned with the approximate solution of a linear non-autonomous functional differential equation, with both advanced and delayed arguments. We search for a solution x(t), defined for t is an element of [-1, k], (k is an element of N), that satisfies this equation almost everywhere on [0, k-1] and assumes specified values on the intervals [-1, 0] and (k-1, k]. We provide a discussion of existence and uniqueness theory for the problems under consideration and describe numerical algorithms for their solution, giving an analysis of their convergence. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free