TY  - JOUR
T1  - Computational Complexity Analysis of Developing Block Methods for
Solving Second Order Ordinary Differential Equations using
Numerical Integration, Collocation and Linear Block Approach
AU - Adeyeye, Oluwaseun AU - Omar, Zurni 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 10
SP  - 3500
EP  - 3504
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.3500.3504
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.3500.3504
KW  - Block methods
KW  -numerical integration
KW  -collocation
KW  -linear block
KW  -second order
KW  -ordinary differential equations
AB  - This study presents three approaches for developing block methods for solving second order ODEs.
These approaches include the conventional numerical integration and collocation approaches while in addition,
considering a new approach called the linear block approach. A sample two-step block method is developed
using the two conventional approaches and from the general form taken by the resulting block method, the
linear block approach is adopted to directly obtain the block method. To investigate the rigour involved in
adopted these approaches, the computational complexity analysis is investigated and it is observed that the
new linear block approach is most suitable for developing block methods.
ER  -