Open AccessB-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations
Author(s) -
Baghdad Science Journal
Publication year - 2004
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.1.2.340-346
Subject(s) - mathematics , b spline , fredholm integral equation , spline (mechanical) , order (exchange) , differential equation , function (biology) , algorithm , mathematical analysis , integral equation , physics , finance , evolutionary biology , biology , economics , thermodynamics
Algorithms using the second order of B -splines [B (x)] and the third order of B -splines [B,3(x)] are derived to solve 1' , 2nd and 3rd linear Fredholm integro-differential equations (F1DEs). These new procedures have all the useful properties of B -spline function and can be used comparatively greater computational ease and efficiency.The results of these algorithms are compared with the cubic spline function.Two numerical examples are given for conciliated the results of this method.