Abstract
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.
Highlights
The primary concern of this research work is to develop a computationally effective technique, which relies on novel Bessel polynomials and a set of collocation points to find the solutions of the following second-order singular functional differential equations (SFDEs)
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
The proposed approach is viably developed for solving various test examples of the second-order singular functional differential model problems
Summary
The primary concern of this research work is to develop a computationally effective technique, which relies on novel Bessel polynomials and a set of collocation points to find the solutions of the following second-order singular functional differential equations (SFDEs). The researcher community is continuously investigating the possible applications of these types of equations and numerous fields are reported including electrodynamics [1], models of infectious diseases [2], population growth models [3], the simulation of tumor growth [4], the processing of chemical systems [5], understanding the gene system [6], and viral infectious models [7] These models have attracted the attention of many scientists with their singularity at the origin or other points.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
