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International Journal of Basic, Applied and Innovative Research

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A fifth order composite integrator formula for the solution of initial-value problem

U.S.U. Aashikpelokhai, R.F. Akerejola

Abstract


In this research work, we employed cramer's rule to develop a fifth order composite integrator scheme capable of solving initial value problems in ordinary differential equation of the form:

          y(1) = f(x,y),          y(x0)=y0          ∀ b

We examined the convergence and consistency nature of our integrator and it is found to be consistent. We equally implemented our composite integrator formula on an initial value problem in ordinary differential equations. Our results compared favorably with the existing method. We therefore recommend the method for use by ODE solvers and for researchers currently working in this area.

Keywords: Differential Equation, Rational, Polynomial, Integrator Error




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