Sevin GümgümNurcan BAYKU S SAVA SANER ILÖmür Kıvanç KürkçüMehmet Sezer2024-07-242024-07-2420201303-5010http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/22905In 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.engLucas polynomial solution of nonlinear differential equations with variable delaysAraştırma Makalesi10.15672/hujms.460975