TY - GEN
T1 - Analytic-numeric treatment for handling system of second-order, three-point BVPs
AU - Moaddy, Khaled
AU - Al-Smadi, Mohammed
AU - Arqub, Omar Abu
AU - Hashim, Ishak
N1 - Publisher Copyright:
© 2017 Author(s).
PY - 2017/4/27
Y1 - 2017/4/27
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85019400582
U2 - 10.1063/1.4980888
DO - 10.1063/1.4980888
M3 - Conference contribution
AN - SCOPUS:85019400582
T3 - AIP Conference Proceedings
BT - 4th International Conference on Mathematical Sciences - Mathematical Sciences
A2 - Dzul-Kifli, Syahida Che
A2 - Zamzuri, Zamira Hasanah
A2 - Razak, Fatimah Abdul
A2 - Zin, Wan Zawiah Wan
PB - American Institute of Physics Inc.
T2 - 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
Y2 - 15 November 2016 through 17 November 2016
ER -