Open AccessSolving Two-Points Singular Boundary Value Problem Using Hermite Interpolation
Author(s) -
Heba A. Abd Al-Razak
Publication year - 2015
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.12.4.826-832
Subject(s) - hermite interpolation , mathematics , interpolation (computer graphics) , birkhoff interpolation , hermite polynomials , ordinary differential equation , boundary value problem , cubic hermite spline , mathematical analysis , domain (mathematical analysis) , monotone cubic interpolation , partial differential equation , order (exchange) , differential equation , linear interpolation , polynomial interpolation , nearest neighbor interpolation , computer science , animation , computer graphics (images) , finance , polynomial , economics
In this paper, we have been used the Hermite interpolation method to solve second order regular boundary value problems for singular ordinary differential equations. The suggest method applied after divided the domain into many subdomains then used Hermite interpolation on each subdomain, the solution of the equation is equal to summation of the solution in each subdomain. Finally, we gave many examples to illustrate the suggested method and its efficiency.