Lucas polynomial solution of nonlinear differential equations with variable delays

Authors : Sevin GÜMGÜM, Nurcan BAYKUŞ SAVAŞANERİL, Ömür Kıvanç KÜRKÇÜ, Mehmet SEZER

Pages : 553-564

Doi:10.15672/hujms.460975

View : 17 | Download : 5

Publication Date : 2020-04-02

Article Type : Research Paper

Abstract :In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions.
Keywords : Nonlinear delay differential equations, Variable delays, Matrix and collocation methods, Lucas polynomials and series