Second Derivative Multistep Method with Nested Hybrid Evaluation
Peter O. Olatunji *
Department of Mathematical Sciences, Adekunle Ajasin University, P.M.B 001 Akungba Akoko, Ondo State, Nigeria.
M. N. O. Ikhile
Advanced Research Laboratory, Department of Mathematics, University of Benin, P.M.B 1154 Benin City, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper considers second derivative multistep methods with nested hybrid evaluation (MMNHE). The methods derived are A-stable for step number k = 1(1)8. The schemes have been implemented on some stiff problems, the results obtained are compared with a second derivative linear multistep method for stiff ordinary differential equations in Enright (1974).
Keywords: Second derivative, multistep methods, nested hybrid, a-stability, stiff problems