- Cankaya University Journal of Science and Engineering
- Vol: 18 Issue: 2
- A Fifth-Order Hybrid Block Integrator for Third-Order Initial Value Problems
A Fifth-Order Hybrid Block Integrator for Third-Order Initial Value Problems
Authors : Rotımı Folaranmi, Tolulppe Latunde, Abayomi Ayoade
Pages : 87-100
View : 10 | Download : 2
Publication Date : 2021-11-01
Article Type : Research
Abstract :The formulation of hybrids block method as integrator of third-order Initial Value Problems in Ordinary Differential Equations is our focus in this paper. Chebyshev polynomials were used as trial function to develop a hybrid One-step Method (HBOSM3) adopting collocation and interpolation technique. The basic properties of HBOSM3 were integrated and findings revealed that the method was accurate and convergent. One of desirable features of these methods is the production of exact solutions at the grid points.Keywords : Block Method, Chebyshev Polynomials, Linear Multististep Method