Solving nonlinear functional–differential and functional equations with constant delay via block boundary value methods

Xiaoqiang Yan and Chengjian Zhang

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 166, issue C, 21-32

Abstract: This paper deals with the numerical solutions of nonlinear functional-differential and functional equations (FDFEs) with constant delay. The block boundary value methods (BBVMs) are extended to solve the FDFEs. Under the suitable conditions, it is shown that the extended BBVMs are uniquely solvable and globally stable. Moreover, the method can be convergent of order p whenever the Lipschitz condition holds and this method is preconsistent and p-order consistent. With several numerical examples, the theoretical results and computational validity of the extended BBVMs are further confirmed.

Keywords: Functional-differential and functional equations; Block boundary value methods; Unique solvability; Global stability; Convergence (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:166:y:2019:i:c:p:21-32

DOI: 10.1016/j.matcom.2019.04.004

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