An effective approximation for second-order singular functional differential equations
Date
2022
Authors
Izadi, Mohammad
Srivastava, H.M.
Adel, Waleed
Journal Title
Journal ISSN
Volume Title
Publisher
Axioms
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 differentialdifference 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.
Description
Keywords
Bessel polynomials, collocation points, differential-difference equation, functional differential equation, singular Lane-Emden type equation
Citation
Izadi, M., Srivastava, H., & Adel, W. (2022). “An effective approximation algorithm for second-order singular functional differential equations.” Axioms, 11(3), 133. https://doi.org/10.3390/axioms11030133