Prof. Dr. Abdelouahab Zerarka
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Prof. Dr. Abdelouahab Zerarka

Professor
University of Biskra, Algeria

Highest Degree
Ph.D. in Applied Mathematics from University of Bordeaux, France

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Area of Interest:

Mathematics
100%
Computation Mathematics
62%
Applied Mathematics
90%
Theoretical Physics
75%
Nonlinear Systems
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
33
Abstracts
0

Selected Publications

  1. Djoudi, W., G. Debowsky and A. Zerarka, 2016. New exact structures for the nonlinear lattice equation by the auxiliary fractional shape. J. Partial Differ. Equat., 29: 195-203.
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  2. Djoudi, W., G. Debowsky and A. Zerarka, 2016. New exact solutions for the nonlinear lattice problem via the auxiliary fractional shape. Optik-Int. J. Light Electron Opt., 127: 11049-11054.
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  3. Djoudi, W. and A. Zerarka, 2016. Exact structures for the KdV-mKdV equation with variable coefficients via the functional variable method. Optik-Int. J. Light Electron Opt., 127: 9621-9626.
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  4. Djoudi, W. and A. Zerarka, 2016. Exact solutions for the KdV-mKdV equation with time-dependent coefficients using the modified functional variable method. Cogent Math., Vol. 3. 10.1080/23311835.2016.1218405.
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  5. Djoudi, W. and A. Zerarka, 2014. Construction of some new exact structures for the nonlinear lattice equation. Int. J. Phys. Sci., 9: 520-524.
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  6. Zerarka, A. and S. Guergueb, 2013. Integration of the hyperbolic telegraph equation in (1+1) dimensions via the generalized differential quadrature method. Results Phys., 3: 20-23.
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  7. Zerarka, A., A. Soukeur and H. Saidi, 2012. On some Volterra and Fredholm problems via the unified integrodifferential quadrature method. ISRN Comput. Math. 10.5402/2012/139514.
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  8. Zerarka, A., S. Ouamane and A. Attaf, 2011. Construction of exact solutions to a family of wave equations by the functional variable method. Waves Random Complex Media, 21: 44-56.
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  9. Zerarka, A., S. Ouamane and A. Attaf, 2010. On the functional variable method for finding exact solutions to a class of wave equations. Applied Math. Comput., 217: 2897-2904.
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  10. Zerarka, A., H. Saidi, A. Attaf and N. Khelil, 2010. Computation of the Schrodinger equation via the discrete derivatives representation method: Improvement of solutions using particle swarm optimization. J. Mod. Phys., 1: 44-47.
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  11. Zerarka, A., A. Soukeur and N. Bensalah, 2010. Integral reduction arising in double transfer and excitation amplitude. Commun. Theoret. Phys., 53: 551-554.
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  12. Zerarka, A. and S. Ouamane, 2010. Application of the functional variable method to a class of nonlinear wave equations. World J. Modell. Simul., 6: 150-160.
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  13. Zerarka, A., A. Soukeur and N. Khelil, 2009. The particle swarm optimization against the Runge's phenomenon: Application to the generalized integral quadrature method. Int. J. Math. Stat. Sci., 1: 171-176.
  14. Zerarka, A. and K. Libarir, 2009. A semi-inverse variational method for generating the bound state energy eigenvalues in a quantum system: The Schrodinger equation. Commun. Nonlinear Sci. Numer. Simul., 14: 3195-3199.
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  15. Zerarka, A. and B. Nine, 2009. The particle swarm optimization approach applied to the Von-Karman equation. World J. Modell. Simul., 5: 302-306.
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  16. Zerarka, A. and B. Nine, 2008. Solutions of the Von Karman equations via the non-variational Galerkin-B-spline approach. Commun. Nonlinear Sci. Numer. Simul., 13: 2320-2327.
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  17. Boumedjane, Y., H. Saidi, S. Hassouni and A. Zerarka, 2007. Some first excited energy levels for the generalized Killingbeck potential with the differential quadratic method. Applied Math. Comput., 194: 243-249.
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  18. Zerarka, A., N. Khelil and H. Saidi, 2006. A generalised integral quadratic method: improvement of the solution for one dimensional Volterra integral equation using particle swarm optimisation. Int. J. Simul. Process Modell., 2: 85-91.
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  19. Zerarka, A., K. Mahboub and V.G. Foester, 2006. Determination of the mean fission lifetime by using the one-dimensional Langevin equation. Int. J. Nucl. Energy Sci. Technol., 2: 342-351.
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  20. Zerarka, A., H. Saidi, S. Hassouni and N. Bensalah, 2006. Evaluation of the bound states of a quantum system via the differential quadrature method: Extended to coupled differential equations. Applied Math. Comput., 182: 665-671.
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  21. Saidi, H., N. Khelil, S. Hassouni and A. Zerarka, 2006. Energy spectra of the Schrodinger equation and the differential quadrature method: Improvement of the solution using particle swarm optimization. Applied Math. Comput., 182: 559-566.
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  22. Nine, B., O. Haif-Khaif and A. Zerarka, 2006. The eigenenergies of the wave function through the non-variational Galerkin-B-spline approach. Applied Math. Comput., 178: 486-492.
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  23. Khelil, N., N. Bensalah, H. Saidi and A. Zerarka, 2006. Artificial perturbation for solving the Korteweg-de Vries equation. J. Zhejiang Univ.-Sci. A, 7: 2079-2082.
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  24. Zerarka, A., S. Hassouni, H. Saidi and Y. Boumedjane, 2005. Energy spectra of the Schrodinger equation and the differential quadrature method. Commun. Nonlinear Sci. Numer. Simul., 10: 737-745.
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  25. Zerarka, A., N. Bensalah and J. Hans, 2005. Inverse potential scattering problem and its application to the Na-He system. Theoret. Math. Phys., 142: 470-480.
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  26. Zerarka, A. and V.G. Foester, 2005. Separation method for solving the generalized Korteweg-de Vries equation. Commun. Nonlinear Sci. Numer. Simul., 10: 217-225.
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  27. Zerarka, A. and A. Soukeur, 2005. A generalized integral quadratic method: I. An efficient solution for one-dimensional Volterra integral equation. Commun. Nonlinear Sci. Numer. Simul., 10: 653-663.
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  28. Mahboub, K., A. Zerarka and V.G. Foester, 2005. Fusion of heavy ions by means of the Langevin equation. Phys. Rev. C, Vol. 71, No. 6. 10.1103/PhysRevC.71.064609.
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  29. Hassouni, S., H. Saidi, Y. Boumedjane and A. Zerarka, 2005. The bound states for the non polynomial potential via the generalized differential quadratic method. Courrier du Savoir, 6: 39-41.
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  30. Zerarka, A. and V.G. Foester, 2004. Transfer-excitation cross section in the independent electron model at high velocities: S15++H collision. J. Quant. Spectrosc. Radiat. Transfer, 86: 151-159.
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  31. Zerarka, A., Y. Boumedjane and J. Hans, 2002. Inverted potential by the phase-integral method: He-Na elastic scattering. Phys. Rev. A, Vol. 66, No. 5. 10.1103/PhysRevA.66.052717.
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  32. Zerarka, A. and Y. Boumedjane, 2002. Potential identification by inverse scattering theory. Int. J. Theoret. Phys., 41: 1745-1753.
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  33. Bachau, H., R. Gayet, J. Hanssen and A. Zerarka, 1992. Transfer and excitation in ion-atom collisions at high impact velocities: A unified continuum distorted wave treatment of resonant and non-resonant modes in a four-body approach. II. Application to the collision S15+(1s)+H(1s). J. Phys. B: Atom. Mol. Opt. Phys., 25: 839-852.
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