Biography

Prof. Bilal Chanane

Mathematics & Statistics

King Fahd University of Petroleum & Minerals, Saudi Arabia

Full Professor


Email: chanane@kfupm.edu.sa


Research fields

Computational Spectral Theory (Differential Eigenvalue Problems)

Boundary Control of PDEs

Nonlinear Systems and Optimal Control

Inverse Problem


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. Abdelkader Boucherif, Ali S. Al-Gahtani, Bilal Chanane, 2012, Impulsive Control Systems Corresponding to Control of Bounded Variation, (to appear in Fixed Point Theory).
  2. B. Chanane and A. Boucherif, 2012, Two-parameter Sturm-Liouville problems, http://arxiv.org/abs/1208.3695.
  3. 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. ISSN: 1072-6691.
  4. B. Chanane, 2011, Solutions of a class of partial differential equations with application to the Black-Scholes equation, Applied Math. and Computation, 217 (2011) 7845–7850.
  5. B. Chanane, 2010, Accurate solutions of fourth order Sturm–Liouville problems, Journal of Computational and Applied Mathematics, 234 (2010) 3064_3071, appeared electronically DOI: 10.1016/j.cam.2010.04.023.
  6. B. Chanane, 2009, Computing the eigenvalues of a nonlocal Sturm-Liouville, Mathematical and Computer Modeling, appeared electronically (2009) doi:10.1016/j.mcm.2008.10.021, (50) 225--232.
  7. Rahimov I., Chanane B. 2008, Branching processes with immigration, Stochastic Models 24 (1), pp. 71-88.
  8. B.Chanane, 2007, Sturm-Liouville problems with impulse effects, Applied Math. and Computation, 190/1 pp. 610-626, appeared electronically(2006) doi:10.1016/j.amc.2007.01.092.
  9. B. Chanane, 2007, Eigenvalues of Sturm-Liouville problems with discontinuity inside a finiteinterval , Applied Mathematics and Computation, 188/2 pp. 1725-1732, appeared electronically (2006) doi:10.1016/j.amc.2006.11.082.
  10. B. Chanane, 2007, Sturm-Liouville problems with parameter dependent potential and boundary conditions, J. Computational and Applied Mathematics, appeared electronically (2006) doi:10.1016/j.cam.2006.12.006.
  11. B. Chanane, 2007, Computing the spectrum of non self-adjoint Sturm-Liouville problems with parameter dependent boundary, J. Computational and Applied Mathematics, 206/1 pp. 229-237, appeared electronically (2006) doi:10.1016/j.cam.2006.06.014.
  12. B. Chanane, 2007, Computing the eigenvalues of singular Sturm-Liouville problems using the regularized sampling method, Applied Mathematics and Computation , 184/2 pp. 972-978,appeared electronically (2006)doi:10.1016/j.amc.2006.05.187.
  13. B. Chanane, 2005, Computation of the Eigenvalues of Sturm-Liouville Problems with Parameter dependent boundary conditions using the Regularized Sampling Method,Mathematics of Computation, American Mathematical Society, Vol. 74, No. 252, pp. 1793-1801, 2005, Article electronically published on March 18, 2005, S0025-5718(05)01717-5.
  14. A. Boucherif, B. Chanane, 2004, Second Order Multivalued Boundary Value Problems, Communications in Applied Nonlinear Analysis, Vol. 11, No. 1, pp. 85-91.
  15. B. Chanane, 2003, Recovering entire functions with polynomial and exponential growth andcomputation of their zeros, Intern. J. of Applied Math., Vol. 13, No. 3, pp. 261-277.
  16. B. Chanane, A. Boucherif, 2003, Computation of the eigenpairs of two-parameter Sturm-Liouville problems with three-point boundary conditions,Intern. J. of Differential Equations and Applications, Vol. 7, No. 2, pp. 203-210.
  17. A. Boucherif, B. Chanane, 2003, Boundary Value Problems for second Order Differential Inclusions, Intern. J. of Differential Equations and Applications,Vol. 7, No. 2, pp. 147-151.
  18. B. Chanane, 2002, Approximation of the Eigenvalues of Regular Fourth OrderSturm-Liouville Problems using Interpolation Theory, Approximation Theory X: Wavelets, Splines, and Applications, Charles K. Chui, Larry L. Schumaker, and Joachim Stockler (eds.), pp. 155-166.
  19. B. Chanane,2002, Fliess series approach to the computation of the eigenvalues of fourth order Sturm-Liouville problems, Applied Mathematics Letters, Vol.15, Iss. 4, pp.459-463.
  20. B. Chanane, 2002, On a class of random Sturm-Liouville problems, Intern. J. of Applied Mathematics, Vol.8 No.2, pp. 171-182.
  21. B. Chanane, 2001, High Order Approximations of the Eigenvalues of Sturm-Liouville Problems with Coupled Self-Adjoint Boundary Conditions, Applicable Analysis, Vol. 80, pp. 317-330.
  22. A. Boumenir, B. Chanane, 2001, The Computation of negative eigenvalues of singular Sturm-Liouville problems, I.M.A. J. Num. Anal., 21, (2), pp. 489-501.
  23. B. Chanane, 2000, The Paley-Wiener-Levinson theorem and the computation of Sturm-Liouville eigenvalues:Irregular sampling, Applicable Analysis, Vol.75 (3-4), pp.261-266.


Profile Details

http://faculty.kfupm.edu.sa/math/chanane

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