Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
12000 Mathematics subject classification: primary: 65L05; Secondary 65L06, 65L20
In this paper, we developed exponential fitting third derivative predictorcorrector formula suitable for stiff systems of ordinary differential equations. The resultant integration formula is A-stable and of order five. The results of the implementation of the formula to some stiff initial value problem shows that, our formula is efficient and compared favourably with some existing methods.
Exponential fitting, third derivative, predictor-corrector, stiff systems and A-stable
