Hybrid Falkner - Type Block Methods for Solution of Second Order Boundary Value Problems

Abstract

Hybrid Falkner-type block methods for the general solution of second-order boundary value problem of second-order ordinary differential equations is developed base on collocation and interpolation approach and implemented as block. The resulting scheme is zero-stable, consistent and convergent with a good region of absolute stability. The tabular and graphical presentations of the numerical results to the problems considered demonstrate the effectiveness and good accuracy of the scheme in comparison with other methods.