G-Spline interpolation for approximating the solution of the ordinary differential equations using linear multistep methods. +CD

The main objectives of this thesis, is oriented toward function approximation using special type of spline functions, which is called the “G-spline “including the details of the subject. The second objective consider the 1st order ordinary differential equations of the form: . ]b,a[x),y,x(F)x(y∈=′ y(a)=. 0y Where the study concern the approximate solution of the above differential equation using linear multistep methods based on G-spline interpolation and then a generalization to this approach have been extended to solve Boundary value problems of the second order ordinary differential equations.