Prof. Bilal Chanane

Mathematics & Statistics

King Fahd University of Petroleum & Minerals, Saudi Arabia

Full Professor

Email: chanane@kfupm.edu.sa

Qualifications

1990 PhD., Mathematical Control Theory, University of Sheffield, UK

1979 M. Sc., Mathematical Control Theory, University of Missouri-Rolla, USA

1975 D.E.S, Differential Equations and Functional Analysis, University of Algiers, Algeria

Publications (Selected)

1. Alsabery, Ammar I., Bilal Chanane, et al. (2017) "Effect of spatial side-wall temperature variation on transient natural convection of a nanofluid in a trapezoidal cavity." International Journal of Numerical Methods for Heat & Fluid Flow 27(6) pp.1365-1384.
2. Alsabery, A. I., Bilal Chanane, et al. (2017) "Darcian natural convection in an inclined trapezoidal cavity partly filled with a porous layer and partly with a nanofluid layer." Sains Malaysiana 46(5). pp.803-815.
3. Alsabery, A. I., Bilal Chanane, et al. (2017) "Effects of finite wall thickness and sinusoidal heating on convection in nanofluid-saturated local thermal non-equilibrium porous cavity." Physica A: Statistical Mechanics and its Applications 470. pp.20-38.
4. Ali, Iftikhar, Nadeem A. Malik, and Bilal Chanane. (2016) "Solutions of time-fractional diffusion equation with reflecting and absorbing boundary conditions using Matlab." Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Cham: Springer International Publishing. pp.15-25.
5. Ali, Iftikhar, Bilal Chanane, and Nadeem A. Malik. (2016) "Compressibility Coefficients in Nonlinear Transport Models in Unconventional Gas Reservoirs." Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Cham: Springer International Publishing, pp.3-13.
6. Malik, Nadeem A., Bilal Chanane, et al. "Flow of shale gas in tight rocks using a non-Linear transport model with pressure dependent model parameters." (2016).
7. Boucherif, Abdelkader, Ali S. Al-Qahtani, and Bilal Chanane. (2015) "Existence of solutions for impulsive parabolic partial differential equations." Numerical Functional Analysis and Optimization, 36(6), pp.730-747.
8. Chanane, Bilal. (2015) "Eigenvalues of Vectorial Sturm‐Liouville Problems with Parameter Dependent Boundary Conditions." Abstract and Applied Analysis. Vol. 2015. No. 1. Hindawi Publishing Corporation.
9. Ali, Iftikhar, Nadeem A. Malik, and Bilal Chanane. (2014) "Time-fractional nonlinear gas transport equation in tight porous media: An application in unconventional gas reservoirs." ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014.
10. Malik, Nadeen, Iftikhar Ali, and Bilal Chanane. (2014) "Numerical solutions of non-linear fractional transport models in unconventional hydrocarbon reservoirs using variational iteration method."
11. Ali, Iftikhar, Nadeen Malik, and Bilal Chanane. (2014) "Fractional diffusion model for transport through porous media."
12. Boucherif, Abdelkader, Ali S. Al-Qahtani, and Bilal Chanane. (2012) "Existence of solutions for second-order impulsive boundary-value problems." Electron. J. Differ. Equ 24.
13. Abdelkader Boucherif, Ali S. Al-Gahtani, Bilal Chanane, (2012), Impulsive Control Systems Corresponding to Control of Bounded Variation, (to appear in Fixed Point Theory).
14. B. Chanane and A. Boucherif, (2012), Two-parameter Sturm-Liouville problems, http://arxiv.org/abs/1208.3695.
15. Abdelkader Boucherif, Ali S. Al-Gahtani, Bilal Chanane, (2012) Existence of solutions for second order impulsive boundary value problems, Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 24, pp.1–10.
16. B. Chanane, (2011) Solutions of a class of partial differential equations with application to the Black-Scholes equation, Applied Math. and Computation, 217, pp.7845–7850.
17. B. Chanane, (2010), Accurate solutions of fourth order Sturm–Liouville problems, Journal of Computational and Applied Mathematics, appeared electronically, 234. pp.3064-3071.

Profile Details

https://orcid.org/0000-0002-2434-0179

https://sa.linkedin.com/in/bilal-chanane

https://scholar.google.com/citations?user=fVSi0jAAAAAJ&hl=en

WoS Researcher ID: A-9751-2008