Open AccessA New Approach of Morgan-Voyce Polynomial to Solve Three Point Boundary Value Problems
Author(s) -
Bushra E. Kashem
Publication year - 2021
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/2021.ihicpas.2654
Subject(s) - polynomial , boundary value problem , mathematics , collocation (remote sensing) , value (mathematics) , matrix polynomial , boundary (topology) , point (geometry) , monic polynomial , algebraic number , differential (mechanical device) , mathematical analysis , computer science , geometry , engineering , statistics , machine learning , aerospace engineering
In this paper, a new procedure is introduced to estimate the solution for the three-point boundary value problem which is instituted on the use of Morgan-Voyce polynomial. In the beginning, Morgan-Voyce polynomial along with their important properties is introduced. Next, this polynomial with aid of the collocation method utilized to modify the differential equation with boundary conditions to the algebraic system. Finally, the examples approve the validity and accuracy of the proposed method.