Abstract

MODIFIED THREE ? STEP ITERATION METHOD FOR THE APPROXIMATE SOLUTION OF 0RDINARY DIFFERENTIAL EQUATIONS IN MATHEMATICS

Raji, Sunwa Adedoyin

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Abstract In this paper, a new three-step iteration method (NOOR iteration) is introduced to approximate the solution of an ordinary differential equation with an initial condition. Some numerical examples with initial conditions are given to show the rate of convergence of the iteration scheme. Furthermore, the result of the newly introduce three step iteration scheme is compared with the Ishikawa Iteration,Euler, Runge-Kutta and Picard iteration methods. Our new iteration is seen to be effective and efficient in solving differential equation type of problem. Keywords: Ordinary differential equation; Euler method; fixed point; numerical analysis modified Ishikawa iteration, modified NOOR iteration; Picard successive iteration method.

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