Numerical solutions of differential equations having cubic nonlinearity using Boole collocation method

The aim of the study is to develop a numerical method for solution cubic nonlinear differential equations in which based on Boole polynomials. That form truncated series and gives approximate type. In this method, firstly, matrix serial set equation converted into system. By adding effect both conditions problem collocation points system equations, we obtain new equations. coefficients Boole-based are obtained from resulting theoretical part reinforced by considering three test problems. Numerical data solutions problems absolute error functions given tables figures.