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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2017 / Cilt: 7 - Sayı: 2

Numerical solution of neutral functional-differential equations with proportional delays

Mehmet Giyas SAKAR
Pages
186–194
Publication Date
2022-10-11
DOI
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⚡ TL;DR(Too Long; Didn't Read)

The numerical results show that the homotopy analysis method with residual error function is very effective and simple.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:Convergence analysis and error estimate of method are given.
💡
Conclusion & Impact:The numerical results show that the homotopy analysis method with residual error function is very effective and simple.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

SAKAR, M. G. (2022). Numerical solution of neutral functional-differential equations with proportional delays. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 7 - Sayı: 2, 186–194. https://ajindex.com/articles/440678

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