An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations

In this research study, a novel computational algorithm for solving a second-order singular functional differential equation as a generalization of the well-known Lane-Emden and differential-difference equations is presented by using the Bessel bases. This technique depends on transforming the problem into a system of algebraic equations and by solving this system the unknown Bessel coefficients are determined and the solution will be known. The method is tested on several test examples and proves to provide accurate results as compared to other existing methods from the literature. The simplicity and robustness of the proposed technique drive us to investigate more of their applications to several similar problems in the future.