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Original Articles

Numerical solution of functional differential equations: a Green's function-based iterative approach

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Pages 1937-1949 | Received 25 Nov 2016, Accepted 30 May 2017, Published online: 11 Jul 2017
 

ABSTRACT

In this article, a recently introduced iterative method based on Green's functions and fixed-point iteration schemes is presented for the approximate solutions of delay and functional differential equations. The approach is especially suited for handling boundary value problems (BVPs). The algorithm is illustrated through a number of examples that confirm the high accuracy and efficiency of the strategy. The results of the test examples show excellent agreement with exact solutions and outperforms other existing numerical iterative schemes.

2010 AMS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the authors.

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