TITLE:
Multi-Derivative Multistep Method for Initial Value Problems Using Boundary Value Technique
AUTHORS:
Emmanuel A. Areo, Oluwatoyin A. Edwin
KEYWORDS:
Collocation, Interpolation, Continuous Method, Chebyshev Polynomial, Stiff Ordinary Differential Equation
JOURNAL NAME:
Open Access Library Journal,
Vol.7 No.3,
March
19,
2020
ABSTRACT:
The second derivative method which is A-stable is derived using Interpolation Collocation approach. The continuous method obtained are used to generate the main method and complementary methods to solve initial value problems of ordinary differential equation via boundary value technique. Numerical result obtained via the methods shows that the new method can compete with the existing ones in the literature.