Bernstein induced one step hybrid scheme for general solution of second order initial value problems
Authors :
Ojo Ezekiel Olukunle 1 * and M. Okoro Felix 2
Author Address :
1,2 Department of Mathematics, Ambrose Alli University, Ekpoma, Ekpoma, Nigeria.
*Corresponding author.
Abstract :
In this paper, a Bernstein polynomial with collocation and interpolation techniques were used to develop one step hybrid scheme with one offgrid point for the direct solution of general second order ordinary differential equations. The basic properties of the derived scheme was investigated and found to be of order four(4), zero stable and convergent. The scheme obtained is used to solve some standard initial value problems. From the numerical results obtained, it was revealed that the proposed method performs better than some of the existing methods in the literature.
Keywords :
Bernstein polynomial, Collocation; Interpolation, Block method, Zero Stability, Consistency, Region of Absolute stability.
DOI :
Article Info :
Received : June 24, 2019; Accepted : February 09, 2020.
