Omar, Zurni and Adeyeye, Oluwaseun (2016) Solving two-point second order boundary value problems using two-step block method with starting and non-starting values. International Journal of Applied Engineering Research, 11 (4). pp. 2407-2410. ISSN 0973-4562

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Boundary Value Problems, Block Method, Taylor series, Starting and Non-Starting Values.
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Prof. Dr. Zurni Omar
Date Deposited:	07 Jun 2017 06:12
Last Modified:	07 Jun 2017 06:12
URI:	https://repo.uum.edu.my/id/eprint/22317

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