Solving two-point second order boundary value problems using two-step block method with starting and non-starting values

• Main Authors: Omar, Zurni, Adeyeye, Oluwaseun
• Format: Article
• Language: English
• Published: Research India Publications 2016
• Subjects: QA75 Electronic computers. Computer science
• Online Access: http://repo.uum.edu.my/22317/1/IJAER%2011%204%202016%202407%202410.pdf; http://repo.uum.edu.my/22317/; http://www.ripublication.com/ijaer16/ijaerv11n4_42.pdf

Second order boundary value problems can be solved directly using block methods.This solution can be implemented with or without the use of starting values. However, a comparison of the effects of starting values on the results gotten from solving a second order boundary value problem has not been investigated into.Therefore, in this work a two-step block method for the numerical solution of a two-point second order boundary value problem is described. The derivation of the method from Taylor series expansions leads to a family of block matrix equations which are used to solve the boundary value problems.The method is implemented with starting and non-starting values and the results are compared with previously existing methods.The results show an improvement in the accuracy of the method when implemented with starting values.