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HALF-Step symmetric continous hybrid block method for the numerical solutions of fourth order ordinary differential equations | Abstract
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Abstract

HALF-Step symmetric continous hybrid block method for the numerical solutions of fourth order ordinary differential equations

Author(s): E. A. Areo, E. O. Omole

This paper proposed a half-step uniform order symmetric continuous hybrid block method for the numerical solution of fourth order ordinary differential equations. The interval of integration is taken within half-step for the approximation of fourth order ordinary differential equations. The approach of collocation and interpolation techniques was used to obtain the schemes and the additional schemes. The combination of power series and exponential function was used as basis function for the approximate solution. An order six symmetric discrete schemes was obtained and the properties of the methods show that it is zero-stable, consistence. Numerical examples are presented to show the accuracy and efficiency of the method.