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§ I. Introduction Many areas of engineering and scientific analysis require methods for solving ordinary or partial differential equations. The progress of digital computer has significantly increased our ability to carry out the numerical solution of such equations, numerous papers have been published which deal with both the theory and practice of such solutions. In the present paper, we concern with the numerical method of the following initial value problem of ordinary differential equation: ( y'=f(x,y) (1-1) I X*o) = JV

Some implicit fourth and fifth order methods with optimum processes for numerical initial value problems