Prof. Omar Abu Arqub

Department of Mathematics,

Al-Balqa Applied University, Jordan

Professor

Email: o.abuarqub@bau.edu.jo

Qualifications

2008 Ph.D. in Applied Mathematics, The University of Jordan, Jordan

2008 Msc in Applied Mathematics, The University of Jordan, Jordan

Publications (Selected)

1. O. Abu Arqub, Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions, Computers & Mathematics with Applications 73 (2017) 1243-1261.
2. M. Alquran, K. Al-Khaled, M. Ali, O. Abu Arqub, Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system, Waves, Wavelets and Fractals 3 (2017) 31-39.
3. O. Abu Arqub, H. Rashaideh, The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs, Neural Computing and Applications 28 (2017) 1-12.
4. O. Abu Arqub, N. Shawagfeh, Application of reproducing kernel algorithm for solving Dirichlet Time-fractional diffusion-Gordon types equations in porous media, Journal of Porous Media, (2017). In Press.
5. O. Abu Arqub, Numerical solutions for the Robin time-fractional partial differential equations of heat and fluid flows based on the reproducing kernel algorithm, International Journal of Numerical Methods for Heat and Fluid Flow (2017) doi:10.1108/HFF-07-2016-0278.
6. O. Abu Arqub, S. Momani, S. Al-Mezel, M. Kutbi, A novel iterative numerical algorithm for the solutions of systems of fuzzy initial value problems, Applied Mathematics & Information Sciences 11 (2017)1059-1074.
7. O. Abu Arqub, B. Maayah, N. Shawagfeh, A fast and elegant numerical algorithm for the solutions of fractional order systems of temporal two-point BVPs with error estimations and comparative analysis, Neural Computing & Applications (2017) In Press.
8. Omar Abu Arqub, Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm, Calcolo - A Quarterly on Numerical Analysis and Theory of Computation (2017) In Press.
9. M. Al-Smadi, O. Abu Arqub, N. Shawagfeh, S. Momani, Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method, Applied Mathematics and Computation 291 (2016) 137-148.
10. M. Ahmad, S. Momani, O. Abu Arqub, M. Al-Smadi, A. Alsaedi, An Efficient Computational Method for Handling Singular Second-Order, Three Points Volterra Integrodifferential Equations, Journal of Computational and Theoretical Nanoscience 13 (2016) 7807-7815.
11. S. Bushnaq, B. Maayah, S. Momani, O. Abu Arqub, M. Al-Smadi, A. Alsaedi, Analytical Simulation of Singular Second-Order, Three Points Boundary Value Problems for Fredholm Operator Using Computational Kernel Algorithm, Journal of Computational and Theoretical Nanoscience 13 (2016) 7816-7824.
12. O. Abu Arqub, The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations, Mathematical Methods in the Applied Sciences 39 (2016) 4549-4562.
13. S. Momani, O. Abu Arqub, S. Al-Mezel, M. Kutbi, A. Alsaedi, Existence and uniqueness of fuzzy solutions for the nonlinear second-order fuzzy Volterra integrodifferential equations, Journal of Computational Analysis & Applications 21 (2016) 213-227.
14. O. Abu Arqub, B. Maayah, Solutions of Bagley–Torvik and Painlevé equations of fractional order using iterative reproducing kernel algorithm with error estimates, Neural Computing and Applications 27 (2016) 1-15.