Journal of Scientific Research and Reports, ISSN: 2320-0227,Vol.: 19, Issue.: 6
Three Steps Second Derivative Adams Moulton Methods for the Solution of Stiff Differential Equations
D. J. Zirra1, Y. Skwame1 and D. Gideon1* 1Department of Mathematics, Adamawa State University, Mubi, Nigeria.
D. J. Zirra1, Y. Skwame1 and D. Gideon1*
1Department of Mathematics, Adamawa State University, Mubi, Nigeria.
(1) Patricia J. Y. Wong, Nanyang Technological University, School of Electrical and Electronic Engineering, Singapore.
(1) A. A. Opanuga, Covenant University, Nigeria.
(2) Oke Abayomi Samuel, Adekunle Ajasin University, Nigeria.
Complete Peer review History: http://www.sciencedomain.org/review-history/25816
In this paper, the continuous forms of the Second Derivative Generalized Adams methods (SDGAMs) and its hybrid formed by adding one off-grid collocation point for step number k = 3 were derived. These continuous formulations were evaluated at some desired points to give the discrete schemes which constitute the block methods. Convergence analysis was carried out on both the block methods derived and it was observed that the block methods are both consistent and zero stable, implying that they are both convergents. The block methods were implemented on the solution of some stiff initial value problems. It was observed that the second derivative hybrid generalized Adams methods (SDHGAMs) performed better than the conventional second derivative generalized Adams methods (SDGAMs) when compared with the exact solution.
GAMs; SDGAMs; SDHGAMs; off-grid.
DOI : 10.9734/JSRR/2018/39444Review History Comments