Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where th...
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| Format: | Research Reports |
| Language: | English |
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Research Management Institute (RMI)
2010
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| Online Access: | https://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf |
| _version_ | 1796902295558946816 |
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| author | Mohd Nasir, Diana Sirmayunie |
| author_facet | Mohd Nasir, Diana Sirmayunie |
| author_sort | Mohd Nasir, Diana Sirmayunie |
| collection | UITM |
| description | In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where the numerical comparison between the Euler and Runge-Kutta methods are being investigated. We prove the existence of solutions to the multipoint by Schaeffer fixed point theorem and uniqueness of solutions by the Contraction Mapping Principal. |
| first_indexed | 2024-03-06T02:02:50Z |
| format | Research Reports |
| id | uitm.eprints-6321 |
| institution | Universiti Teknologi MARA |
| language | English |
| last_indexed | 2024-03-06T02:02:50Z |
| publishDate | 2010 |
| publisher | Research Management Institute (RMI) |
| record_format | dspace |
| spelling | uitm.eprints-63212023-07-14T01:31:11Z https://ir.uitm.edu.my/id/eprint/26321/ Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir Mohd Nasir, Diana Sirmayunie Difference equations. Functional equations. Delay differential equations. Integral equations In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where the numerical comparison between the Euler and Runge-Kutta methods are being investigated. We prove the existence of solutions to the multipoint by Schaeffer fixed point theorem and uniqueness of solutions by the Contraction Mapping Principal. Research Management Institute (RMI) 2010 Research Reports NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir. (2010) [Research Reports] (Unpublished) |
| spellingShingle | Difference equations. Functional equations. Delay differential equations. Integral equations Mohd Nasir, Diana Sirmayunie Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title | Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title_full | Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title_fullStr | Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title_full_unstemmed | Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title_short | Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir |
| title_sort | existence of solution to first order multipoint boundary value problems diana sirmayunie mohd nasir |
| topic | Difference equations. Functional equations. Delay differential equations. Integral equations |
| url | https://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf |
| work_keys_str_mv | AT mohdnasirdianasirmayunie existenceofsolutiontofirstordermultipointboundaryvalueproblemsdianasirmayuniemohdnasir |