A numerical approach for solving a class of nonlinear functional differential equations

Burcu Gurbuz

In this study, a special class of nonlinear functional differential equations with mixed conditions has been investigated with regard to Laguerre polynomials to find numerical solutions of these problems. Those mathematical dynamics are of growing important in the natural sciences, in engineering, in economics, in medical and life sciences, and in emerging space-time design and research. Our novel numerical approach has been applied on the related problem and its efficiency has been proved by error analysis on an illustrative example. The high efficiency of our now method is document by a numerical example. The paper ends with a conclusion, scientific discussions about structural frontiers, and an outlook to future investigations and emerging applications. 

Tbilisi Mathematical Journal, Special Issue (8 - 2021), pp. 1-11