Author(s)

James Adewale^1*, Adesanya Olaide², Onsachi Oziohu², Sunday Joshua³, Moses Omuya¹

¹Mathematics Department, American University of Nigeria, Yola, Nigeria.
²Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria.
³Department of Mathematics, Adamawa State University, Mubi, Nigeria.

This paper presents a study on the development and implementation of a second derivative method for the solution of stiff first order initial value problems of ordinary differential equations using method of interpolation and collocation of polynomial approximate solution. The results of this paper bring some useful information. The constructed methods are A-stable up to order 8. As it is shown in the numerical examples, the new methods are superior for stiff systems.

Second Derivative, Interpolation, Collocation, Continuous Scheme, Block Method, Stiff Problems, Initial Value, Linear Multistep Method

Adewale, J. , Olaide, A. , Oziohu, O. , Joshua, S. and Omuya, M. (2018) Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems. American Journal of Computational Mathematics, 8, 96-107. doi: 10.4236/ajcm.2018.81008.