A Computational Derivative Operational Matrix Technique for Solving Second-Order Lane-Emden Type Differential Equations via Modified Lucas Wavelets Basis

Authors

  • Ankit Kumar

DOI:

https://doi.org/10.17762/msea.v71i3.225

Abstract

In this study, we describe a computational derivative operational matrix technique for generating best approximation solution of second-order Lane-Emden type differential equations using modified Lucas wavelets basis. Modified Lucas wavelets basis expansion together with this computational derivative operational matrix technique, by selecting appropriate collocation points, converts the given second-order Lane-Emden type differential equations into a well-known equivalent set of algebraic equations.Some examples have been solved in order to evaluate the accuracy and stability of the suggested technique. Based on the results obtained for the stated problems, the suggested technique provides the best approximate solution to second-order Lane-Emden type differential equations when compared to other current techniques.

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Published

2022-06-09

How to Cite

Ankit Kumar. (2022). A Computational Derivative Operational Matrix Technique for Solving Second-Order Lane-Emden Type Differential Equations via Modified Lucas Wavelets Basis. Mathematical Statistician and Engineering Applications, 71(3), 821 –. https://doi.org/10.17762/msea.v71i3.225

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Articles