Kürkçü, Ömür Kıvanç2023-06-162023-06-1620182667-42111302-3160https://doi.org/10.18038/aubtda.409056https://search.trdizin.gov.tr/yayin/detay/326920https://hdl.handle.net/20.500.14365/4047In this study, the delay integral equations with variable bounds are considered and their approximate solutions are obtained byusing a new numerical method based on matrices, collocation points and the generalized Mott polynomials including aparameter- ? . An error analysis technique consisting of the residual function is performed. The numerical examples are appliedto illustrate the practicability and usability of the method. The behavior of the solutions is monitored in terms of the parameter-? . The accuracy of the method is scrutinized for different values of N and also the numerical results are discussed in figuresand tables.eninfo:eu-repo/semantics/openAccessArticle10.18038/aubtda.409056