Block Hybrid Method for Solution of Fourth Order Ordinary Differential Equations

In this paper a block hybrid method of order seven for the direct solution of fourth-order ordinary differential equations is presented. The derivation of the method uses interpolation and col-location procedures to obtain the main method and additional methods from the same continuous scheme. The continuous representation of the integrators permit us to differentiate and evaluate at both grid and off-grid points. The stability properties of the methods are discussed by expressing them as a one-step method in higher dimension. Numerical results obtained using the proposed method reveal that it compares favorably well with existing methods in the literature.