Abstract
In this paper we designed Rational Interpolation Method for solving Ordinary Differential Equations (ODES) and Stiff initial value problems (IVPs).This was achieved by considering the Rational Interpolation Formula. y(x)=U(x)=P0+P1x+P2x2+P3x3+p4x4+P5x51+q1x+q2x2+q3x3+q4x4+q5x5+q6x6, satisfying U(Xn+i)=yn+i,i=0,1,2,3,4,5,6.We also implemented k=6 in Aashikpelokhai (1991) class of rational integration formulas given by yn+1=∑i=05piXn+1i1+∑i=16qiXn+1i where, [Display omitted] The results as analyzed with the computer show that the rational interpolation method copes favorably well with ordinary differential equations and stiff initial value problems.
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