Bernstein basis functions based algorithm for solving system of third order initial value problems

Bernstein basis functions based algorithm for solving system of third order initial value problems

For obtaining numerical solutions of the system of ordinary differential equations (ODEs) of third order, a new numerical technique is proposed by using operational matrices of Bernstein polynomials. These operational matrices can be utilized to solve different problems of integral and differential...

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Bibliographic Details
Main Authors: Rida Malik, Faheem Khan, Muhammad Basit, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Emad E. Mahmoud, Masnour S.M. Lotayif
Format: Article
Language:English
Published: Elsevier 2021-04-01
Series:Alexandria Engineering Journal
Subjects:
ODEs
Bernstein polynomials
Chebyshev nodes
Operational matrices
Collocation points
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820306876

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