Laguerre polynomial approach for solving functional differential equations involving first order nonlinear delay terms
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CitationGürbüz, B. ve Sezer, M. (2019). Laguerre polynomial approach for solving functional differential equations involving first order nonlinear delay terms. International Conference of Mathematical Sciences (ICMS 2019). s. 163.
Recently, there exists an increasing interest on models related to delay and nonlinear functional differential equations in many scientific areas such as biology, chemical, physics and engineering. Moreover, the numerical methods for these problems have been developed by many authors. In this study, we consider some high-order delay functional differential equations with variable coefficients and variable delays, which contain first order nonlinear delay terms; then we develop a compatible matrix-collocation method depends on Laguerre polynomials to find the numerical solutions of these type equations subject to the mixed conditions. Additionally, numerical examples and different error analysis techniques are achieved to illustrate the efficiency, usability of our method.
SourceInternational Conference of Mathematical Sciences (ICMS 2019)
- Makale Koleksiyonu 
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