Solving two-point second order boundary value problems using two-step block method with starting and non-starting values
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...
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my.uum.repo.223172017-06-07T06:12:49Z http://repo.uum.edu.my/22317/ Solving two-point second order boundary value problems using two-step block method with starting and non-starting values Omar, Zurni Adeyeye, Oluwaseun QA75 Electronic computers. Computer science 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. Research India Publications 2016 Article PeerReviewed application/pdf en http://repo.uum.edu.my/22317/1/IJAER%2011%204%202016%202407%202410.pdf 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 http://www.ripublication.com/ijaer16/ijaerv11n4_42.pdf |
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QA75 Electronic computers. Computer science Omar, Zurni Adeyeye, Oluwaseun Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
description |
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. |
format |
Article |
author |
Omar, Zurni Adeyeye, Oluwaseun |
author_facet |
Omar, Zurni Adeyeye, Oluwaseun |
author_sort |
Omar, Zurni |
title |
Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
title_short |
Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
title_full |
Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
title_fullStr |
Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
title_full_unstemmed |
Solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
title_sort |
solving two-point second order boundary value problems using two-step block method with starting and non-starting values |
publisher |
Research India Publications |
publishDate |
2016 |
url |
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 |
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13.18916 |