حسين البزون

This thesis presents the collocation approach based on quartic B–spline basis functions to solve linear two–point boundary value problems arising from ordinary differential equations. In this formulation, the unknown solution is expressed through quartic B–splines an‎d the governing equation is enforced at a set of suitably selec‎ted collocation nodes. A comprehensive investigation of the truncation error, together with a rigorous study of the method’s convergence behaviour, is carried out to establish its mathematical validity. To demonstrate the effectiveness an‎d reliability of the developed technique, two test problems are examined. The computational results reveal that the proposed quartic B–spline collocation method yields very accurate approximations to the exact solution an‎d is easy to implement, robust, an‎d applicable to a wide range of two–point boundary value problems in ordinary differential equations. This thesis is based on the reference [23].

مسئله مقدار مرزي دو نقطه‌اي

Two-point boundary value problem

Hossein Al Bazoon

Dr. Jalil Rashidinia