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 probl...
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MDPI AG
2022-03-01
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Online Access: | https://www.mdpi.com/2075-1680/11/3/133 |
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author | Mohammad Izadi Hari M. Srivastava Waleed Adel |
author_facet | Mohammad Izadi Hari M. Srivastava Waleed Adel |
author_sort | Mohammad Izadi |
collection | DOAJ |
description | 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. |
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issn | 2075-1680 |
language | English |
last_indexed | 2024-03-09T13:51:35Z |
publishDate | 2022-03-01 |
publisher | MDPI AG |
record_format | Article |
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spelling | doaj.art-e3dee348050746c0b70996b787c185182023-11-30T20:50:22ZengMDPI AGAxioms2075-16802022-03-0111313310.3390/axioms11030133An Effective Approximation Algorithm for Second-Order Singular Functional Differential EquationsMohammad Izadi0Hari M. Srivastava1Waleed Adel2Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman 76169-14111, IranDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaDepartment of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, EgyptIn 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.https://www.mdpi.com/2075-1680/11/3/133Bessel polynomialscollocation pointsdifferential-difference equationfunctional differential equationsingular Lane–Emden type equation |
spellingShingle | Mohammad Izadi Hari M. Srivastava Waleed Adel An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations Axioms Bessel polynomials collocation points differential-difference equation functional differential equation singular Lane–Emden type equation |
title | An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations |
title_full | An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations |
title_fullStr | An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations |
title_full_unstemmed | An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations |
title_short | An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations |
title_sort | effective approximation algorithm for second order singular functional differential equations |
topic | Bessel polynomials collocation points differential-difference equation functional differential equation singular Lane–Emden type equation |
url | https://www.mdpi.com/2075-1680/11/3/133 |
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