Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646477 | Journal of the Nigerian Mathematical Society | 2015 | 11 Pages |
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=0,1,2,3,4,5,6U(Xn+i)=yn+i,i=0,1,2,3,4,5,6.We also implemented k=6k=6 in Aashikpelokhai (1991) class of rational integration formulas given by yn+1=∑i=05piXn+1i1+∑i=16qiXn+1i where, Pj=∑i=1jh(j+1−i)yn(j+1−i)∑i=1j(j+1−i)!Xn+1(j+1−i)qi−1+ynqj,j=1(1)5. 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Anetor Osemenkhian,