Analytic-numeric treatment for handling system of second-order, three-point BVPs

Khaled Moaddy, Mohammed Al-Smadi, Omar Abu Arqub, Ishak Hashim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

In this paper, we present a novel numerical algorithm to handle system of second-order, three-point boundary value problems in a favorable reproducing kernel Hilbert space. The exact and approximate solutions of the system are given in a series form in the space W23 [0,1] with easily computable components using symbolic computation software. Numerical simulations are performed to guarantee the procedure, and to verify the theoretical statements. The numerical results demonstrate that the algorithm is higher accurate and efficient in obtaining series solutions for system of second-order, three-point boundary value problems.

Original languageEnglish
Title of host publication4th International Conference on Mathematical Sciences - Mathematical Sciences
Subtitle of host publicationChampioning the Way in a Problem Based and Data Driven Society, ICMS 2016
PublisherAmerican Institute of Physics Inc.
Volume1830
ISBN (Electronic)9780735414983
DOIs
Publication statusPublished - 27 Apr 2017
Event4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 - Putrajaya, Malaysia
Duration: 15 Nov 201617 Nov 2016

Other

Other4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
CountryMalaysia
CityPutrajaya
Period15/11/1617/11/16

Fingerprint

boundary value problems
Hilbert space
computer programs
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Moaddy, K., Al-Smadi, M., Arqub, O. A., & Hashim, I. (2017). Analytic-numeric treatment for handling system of second-order, three-point BVPs. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 (Vol. 1830). [020025] American Institute of Physics Inc.. https://doi.org/10.1063/1.4980888

Analytic-numeric treatment for handling system of second-order, three-point BVPs. / Moaddy, Khaled; Al-Smadi, Mohammed; Arqub, Omar Abu; Hashim, Ishak.

4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017. 020025.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Moaddy, K, Al-Smadi, M, Arqub, OA & Hashim, I 2017, Analytic-numeric treatment for handling system of second-order, three-point BVPs. in 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. vol. 1830, 020025, American Institute of Physics Inc., 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, Putrajaya, Malaysia, 15/11/16. https://doi.org/10.1063/1.4980888
Moaddy K, Al-Smadi M, Arqub OA, Hashim I. Analytic-numeric treatment for handling system of second-order, three-point BVPs. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830. American Institute of Physics Inc. 2017. 020025 https://doi.org/10.1063/1.4980888
Moaddy, Khaled ; Al-Smadi, Mohammed ; Arqub, Omar Abu ; Hashim, Ishak. / Analytic-numeric treatment for handling system of second-order, three-point BVPs. 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017.
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