Four Point Block Hybrid Collocation Method for Direct Solution of Third Order Ordinary Differential Equations.

The four-point block hybrid collocation method is proposed to solve general third order ordinary differential equations directly. The main and additional methods are generated via interpolation and collocation of polynomial. These methods are implemented in block form to obtain the approximation at main points and off-step points concurrently. The stability properties are analyzed. Some famous problems are tested to illustrate the accuracy of the method. [ABSTRACT FROM AUTHOR]