Numerical solution of neutral functional-differential equations with proportional delays
Year: 2017
Type: article
Abstract: In this paper, homotopy analysis method is improved with optimal determination of auxiliary parameter by use of residual error function for solving neutral functional-differential equations (NFDEs) with proportional delays. Convergence analysis and error estimate of method are given. Some numerical examples are solved and comparisons are made with the existing results. The numerical results show that the homotopy analysis method with residual error function is very effective and simple.
Author: Mehmet Giyas Sakar
Institution: Van Yüzüncü Yıl Üniversitesi
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2736102016