Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method
Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. This is observed in the extra computation required when determining the missing conditions in transforming BVPs to initial value problems. Although a number of numerical approaches are already existent...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi
2017
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| Online Access: | https://repo.uum.edu.my/id/eprint/27950/1/IJDE%202017%201%2010.pdf |
| _version_ | 1803629377335853056 |
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| author | Adeyeye, Oluwaseun Omar, Zurni |
| author_facet | Adeyeye, Oluwaseun Omar, Zurni |
| author_sort | Adeyeye, Oluwaseun |
| collection | UUM |
| description | Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. This is observed in the extra computation required when determining the missing conditions in transforming BVPs to initial value problems. Although a number of numerical approaches are already existent in literature to solve nonlinear BVPs, this article presents a new block method
with improved accuracy to solve nonlinear BVPs. A ( |
| first_indexed | 2024-07-04T06:36:53Z |
| format | Article |
| id | uum-27950 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:36:53Z |
| publishDate | 2017 |
| publisher | Hindawi |
| record_format | dspace |
| spelling | uum-279502020-12-06T06:40:32Z https://repo.uum.edu.my/id/eprint/27950/ Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method Adeyeye, Oluwaseun Omar, Zurni QA75 Electronic computers. Computer science Nonlinear boundary value problems (BVPs) are more tedious to solve than their linear counterparts. This is observed in the extra computation required when determining the missing conditions in transforming BVPs to initial value problems. Although a number of numerical approaches are already existent in literature to solve nonlinear BVPs, this article presents a new block method with improved accuracy to solve nonlinear BVPs. A ( Hindawi 2017 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/27950/1/IJDE%202017%201%2010.pdf Adeyeye, Oluwaseun and Omar, Zurni (2017) Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method. International Journal of Differential Equations, 2017. pp. 1-9. ISSN 1687-9643 http://doi.org/10.1155/2017/4925914 doi:10.1155/2017/4925914 doi:10.1155/2017/4925914 |
| spellingShingle | QA75 Electronic computers. Computer science Adeyeye, Oluwaseun Omar, Zurni Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title | Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title_full | Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title_fullStr | Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title_full_unstemmed | Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title_short | Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method |
| title_sort | solving nonlinear fourth order boundary value problems using a numerical approach m 1 th step block method |
| topic | QA75 Electronic computers. Computer science |
| url | https://repo.uum.edu.my/id/eprint/27950/1/IJDE%202017%201%2010.pdf |
| work_keys_str_mv | AT adeyeyeoluwaseun solvingnonlinearfourthorderboundaryvalueproblemsusinganumericalapproachm1thstepblockmethod AT omarzurni solvingnonlinearfourthorderboundaryvalueproblemsusinganumericalapproachm1thstepblockmethod |