Research

M. Sc. Thesis: Symmetric Relations in Hilbert Spaces.

 (Submitted to the University of Dundee, U. K.).

 Ph. D. Dissertation: Eigenvalue Problems for the Plate Equation Under Determinate and Random Perturbations.

(Submitted to the Cranfield Institute of Technology, U. K.)

 Research/ Funded Projects

 1) KFUPM funded Research Project, MS /Diffraction / 156 “A Study of Diffraction of Waves”

(Principal Investigator), 1995-1996.

 2) Fast Track/Sabic Project, FT 2004-11, “An Inversion Procedure for Recovery of Propagation Speed and Damping of the Medium in Three Dimensions, 2004 – 2005.

 3) Online Math 260 DAD Project (Principal Investigator), 2004 – 2005.

 4) Fast Track/Sabic Project FT 2005-02, “Solution of Some Non-Linear Equations Using Symmetry Methods (Co-Investigator), 2005 - 2006

 PUBLICATIONS

 Monograph

  1. F. D. Zaman, “An Introduction to Elastodynamics”, A University Grants Commission Monograph. Awarded Quality Publication Cash Award by Government of Pakistan 1987.

 Technical Reports

  1. F. D. Zaman, S. Asghar and Masud Ahmad, “ Diffraction of SH-waves by a plane crack in a thick plate, QAU Pre-print Series No.3.

 2..   F. D. Zaman, S. Asghar and M. Ahmad, “ Spectral Representation of Love wave operator for a layered infinite strip” , KFUPM Technical Report No. 113, 1989.

 3.   F. D. Zaman, "Heat conduction across a semi-infinite interface in a layered plate”, KFUPM Technical Report No. 127, 1992.

 4.   F. D. Zaman, S. Asghar, M. Ahmad," Spectral representation of a Love-type operator”, KFUPM Technical Report No. 127, 1992.

 PROJECT REPORTS

 1. F. D. Zaman, M. A. Bokhari, “A study of Diffraction of waves”, KFUPM Research Project Report, Project MS/Diffraction/156, 1996.

 2. F. D. Zaman, Khalid Masood, “An Inversion Procedure for the Recovery of Propagation Speed and Damping of the Medium in Three-Dimensions” Report Fast Track Funded Research Project 2004/11.

  Papers in Refereed Proceedings

  1. A.D. Wood and F.D. Zaman, “Eigenvalue problems for free vibrations of rectangular plates with random inhomogeneities”, Proceedings of Dundee Conference on Ordinary and Partial Differential Equations, Ed. W. N. Everitt, Springer Lecture Note Series, 564, 533-539, 1976.

  1. F. D. Zaman and S. Asghar, “On a random eigenvalue problem”, Proc. ICCS-II, vol. IV, 930-935, 1990.

  1. F. D. Zaman and Khalid Masood, “An inverse problem in hyperbolic heat equation”, Proc. Of the First Saudi Science Conference, 377-386, 2001.

  1. F.D. Zaman and Ahmed M. Al-Marzoug.  Acoustic waves in a perturbed layered ocean.  In proceedings of the Mathematical Models and Methods for Real World Systems. K.M. Furati, M.Z. Nashed and A.H. Siddiqi, editors.  Marcel Dekker / Taylor & Francis/CRC/Chapman, Pages 299 - 314, New York, June, 2005

 

Original Papers in Refereed Professional Journals

  1.      F. D. Zaman, “Extensions of certain symmetric operators,” Punjab University J. of Mathematics, IX, 51-60, 1976.

 2.      A. D. Wood and F. D. Zaman, “Free vibrations of randomly inhomogeneous plates”, Journal of Sound and Vibration, 52(4), 543-552,1977

 3.      F. D. Zaman, “Perturbations of a biharmonic eigenvalue problem”, Portugaliae Mathematica, 36, 63- 69, 1979.

 4.      F. D. Zaman, “Correlation function for certain composite materials”, J. of Nat. Sci. Math. 26(1), 35-44, 1986.

 5.      F. D. Zaman, “Variational approach to a random eigenvalue problem”, J. Nat. Sc. Math. 26(1), 35-44, 1979.

 6.      S. Asghar and F. D. Zaman, “Diffraction of Love waves by a finite rigid barrier”, Bull. Seism. Soc. America, 76(1), 241-257, 1986.

 7.      S. Asghar and F. D. Zaman, “Diffraction of SH-waves by a finite crack in a layer overlying a half space”, Boll. Di Geofisica Teorica Ed Applicata, XXIXX (113), 43-50, 1987.

 8.      F. D. Zaman, S. Asghar and M. Ahmad, “Diffraction of SH-waves in a layered plate”, J. Tech. Physics, 28(2), 143-152,1987.

 9.      F. D. Zaman, S. Asghar and Asif Ali, “An extended variational principle for a composite plate”, Math. Rep. Toyama Univ. vol 10, 127-131, 1987.

 10.  F. D. Zaman and S. Asghar, “Flexural vibration of an anisotropic plate”, J. Nat. Sci. Math. 27(2), 1-9, 1987.

 11.  S. Asghar, F. D. Zaman and M. Ayub, “Diffraction of Love waves by two parallel perfectly weak half planes”, Indian J. Pure and Applied Mathematics, 19, No. 6, 586-596, 1988.

 12.  S. Asghar, F. D. Zaman and Sajida Asghar, “Diffraction of Love waves by two staggered perfectly weak half planes” Il Nuovo Cimento, vol. 12C(1), 1-19, 1989.

 13.  F. D. Zaman, S. Asghar and G. Ghous, “Torsional vibrations of a random elastic cylinder”, Indian J. Pure and Applied Mathematics, 20(5), 1989.

 14.  F. D. Zaman, S. Asghar and K. Hanif, “Love waves due to a source in a three layer inhomogeneous model”, Bull. Mathematique Roumania, 33(81), Nr. 3, 269-278, 1989.

 15.  F. D. Zaman, S. Asghar and M. Sharif, “Filtration of an SH-wave through a trapped random layer”, Boll. Di Geofisica Teorica Ed Applicata, 1989.

 16.  S. Asghar, F. D. Zaman and Masud Ahmad, “Dispersion of Love waves in an inhomogeneous intermediate layer”, J. Phys. Earth, 38,213-221, 1990.

 17.  F. D. Zaman, S. Asghar and Masud Ahmad, “Love type waves due to a point source in an inhomogeneous layer”, Boll. Di Geofisica Teorica Ed Applicata, vol. XXXII (127-128), 167-173, 1990.

 18.  F. D. Zaman, S. Asghar and K. Hanif, “Dispersion of Love waves in an inhomogeneous layer due to a source”, Punjab Univ. J. of Mathematics, vol. XXIV, 1-10, 1991.

 19.  S. Asghar, F. D. Zaman and Masud Ahmad, “Field due to a point source in a layer over an inhomogeneous medium”, Il Nuovo Cimento, vol 14C, N. 6,569-573, 1991.

 20.  F. D. Zaman, S. Asghar and M. Sharif, “Transmission of obliquely incident wave through a random layer”, J. Nig. Math. Soc., vol. 11 No. 1, 21-28, 1992.

 21.  S. Asghar, F. D. Zaman and Masud Ahmad, “Spectral representation of a Love-type operator”, Boll. Di Geofisica Teorica Ed Applicata, vol. 34, N 136, 257-271, 1992.

 22.  F. D. Zaman, “Heat conduction across a semi-infinite interface in a layered plate”, Utilitas Mathematica, 43, 89-96, 1993.

 23.  F. D. Zaman and M. A. Bokhari, “Diffraction of SH waves at a mixed interface”, Il Nuovo Cimento, vol 18C, N. 5, 473-482, 1995.

24.  F. D. Zaman, S. Asghar and A. Rashid, “ Scalar wavefield due to a source in a half-space in the presence of a crack”, Boll. Di Geofisica Teorica Ed Applicata, vol. 38, N 3-4, 179-186, 1997.

 25.  F. D. Zaman, S. Asghar and A. Rashid, “Diffraction of transient SH-waves in a half –space”, Arab J. Math. Sc., vol 5, No. 2, 51-66, 1999.

 26.  F. D. Zaman and R. Al-Khairy, “Cooling of a layered plate under mixed conditions”, Journal of Applied Mathematics and Stochastic Analysis, 13, No. 2, 197-206, 2000.

 27.  F. D. Zaman and R. Al-Khairy, “Cooling of a plate with general boundary conditions”, International journal of Math. And Math.Sc. vol 23, No.7, 477-485, 2000.

 28.  F. D. Zaman and R. Al-Khairy, “Cooling of a composite plate”, Far East J. Math. Sci. 2(4), 645-663, 2000.

 29.  F. D. Zaman and Zeid I. A. Al-Muhiameed, “Acoustic waves in a layered inhomogeneous ocean”, Applied Acoustics, 61, 427-440, 2000.

 30.  F. D. Zaman, “Diffraction of water waves by a rigid cylinder of semi-infinite extension”, Jour. Inst. Math. & Comp. Sci. (Math. Ser.) Vol 13, No. 3, 273-277, 2000.

31.  F. D. Zaman, “Diffraction of SH waves across a mixed interface in a plate”, Mechanics Research Communications, vol. 28, No. 2, 171-178, 2001.

 32.  Khalid Masood, Salim Messaoudi and F. D. Zaman, “Initial inverse problem in heat equation with Bessel operator”, International Journal of Mass and Heat Transfer, vol. 45 (14), 2959-2965, 2002.

 33.  Khalid Masood and F. D. Zaman, “An initial inverse problem of heat conduction in a plate with a hyperbolic model”, Intern. Math. Journal, vol. 2, no. 3, 237-251, 2002.

 34.  F. D. Zaman and Khalid Masood, “An inversion procedure for the recovery of propagation speed and damping of the medium”, Il Nuovo Cimento, vol. 25 C, N. 3, 263 – 271, 2002.

 35.  F. D. Zaman and Khalid Masood, "Shear velocity inversion procedure for Love waves", J. Tech. Physics, 44,3, 295 – 301, 2003.

 36.  Khalid Masood, Salim Messaoudi and F. D. Zaman, "Recovery and regularization of the initial temperature distribution in a cylinder", Int. J. Heat & Tech. 2003.

 37.  Khalid Masood and F. D. Zaman, "Initial inverse problem in a two layer heat conduction model", Arabian Journal for Science & Engineering, Vol 29, No. 1B, 2 - 12, 2004.

38.  Khalid Masood and F. D. Zaman, “Investigation of the initial inverse problem in the heat equation”, Journal of Heat Transfer, 126, 294 – 296, 2004.

39.  F. D. Zaman and R. Al-Zayer, "Dispersion of Love waves in a stochastic layer”, Il Nuovo Cimento C, 27C, N. 2, 143 – 153, 2004.

40.  F. D. Zaman and K. Masood, "Direct and inverse acoustic scattering problem over a two-part impedance ground in a moving fluid by using Wiener-Hopf technique", J. Tech. Physics, 46, 1, 23 – 35, 2005.

41.  F. D. Zaman and K. Masood and Z. Muhiameed, “Recovery of variation in density and bulk modulus in the presence of damping”, Far East J. Math. Sci. 17(1), 93 – 105, 2005.

42.  Ashfaque H. Bokhari, A.H. Kara and F. D. Zaman, “On soliton and other solutions of the combined KdV and modified and generalized KdV equations”,  Il Nuovo Cimento B, 120 B, N. 4, 393 – 396, 2005.

43.  Ashfaque H. Bokhari and F. D. Zaman, “Connection symbols in differential and Riemannian Geometry, Proc. Pak. Acad. Sci. 42(3), 195 – 198, 2005.

44.  F. D. Zaman and K. Masood, “Investigation of the direct and inverse solutions for torsional waves propagating in a cylinder”, Applied Mathematics and Computation, 173 (2), 1238 – 1245, 2006.

45.  F. D. Zaman, K. Masood and Z. Muhiameed, “Inverse Scattering in Multilayer Inverse Problem in the Presence of Damping”, Applied Mathematics and Computation, 176 (2), 455 – 461, 2006.

 46.  F. D. Zaman, Khalid Masood and Z. Muhiameed, “Testing of the Inversion Procedure for constant background in the presence of damping in a single layer” Boll. Di Geofisica Teorica Ed Applicata.Vol. 47, n.4,  pp. 577-590, December 2006.

47.  Faiz Ahmad and F. D. Zaman, “Exact and asymptotic solutions of the elastic wave propagation problem in a rod”, International J. Pure and Appl. Math., 27(1), 127 – 132, 2006.

 48.  Ashfaque H. Bokhari, A.H. Kara and F. D. Zaman, "Noether Symmetries Versus Killing Vectors and Isometries of Spacetimes", International Journal of Theoretical Physics, 45(6), 1029 - 1039, 2006

49.  Ashfaque H. Bokhari, A.H. Kara and F. D. Zaman, “A Note on a Symmetry Analysis and Exact Solutions of a Nonlinear Fin Equation”, Applied Mathematics Letters, (Available online 29 March 2006),19(12), 1356 – 1360, 2006.

50.  Ashfaque H. Bokhari, A.H. Kara and F.D. Zaman, “Some exact solutions of some general nonlinear wave equations in elasticity”, Nonlinear Dynamics,

      48, 49 – 54, 2007. (DOI 10.1007/S11071 – 006 – 9050 – Z).

 51.  Ashfaque H. Bokhari, A.H. Kara and F.D. Zaman, "Invariant solutions of certain nonlinear evolution type equations with small parameters" Applied Mathematics and Computation,

      182, 1075 – 1082, 2006.

52.  Aijaz Ahmad, Ashfaque H. Bokhari, A.H. Kara and F.D. Zaman,"Symmetry reductions for 2-dimensional non-linear wave equation ",Il Nuovo Cimento, Sect. B,121(6), 571 – 578, 2006.

53.  Khalid Masood and F.D. Zaman, “Recovery of medium properties in three dimensions with three dimensional parameter variability”, J. Tech. Phys., 48,1, 3 – 12, 2007.

 54. A. H. Bokhari, A. H. Kara, A. R. Kashif and F.D. Zaman, “On the symmetry structures of the Minkowski metric and Weyl rescaled metric”, International Journal of Theoretical Physics, Online available, DOI 10.1007/s10773-007-9390-6, 2007.

55..Aijaz Ahmad, A. H. Bokhari, A.H. Kara, and F.D. Zaman, "Symmetry classifications and reductions of some classes of (2+1)-nonlinear heat equation”, DOI 10.1016/j.jjma.2007.07.002,," Journal of Mathematical Analysis and Applications, vol. 339, pp. 175-181, 2008..

56. Ashfaque H. Bokhari, M.T. Mustafa, F.D. Zaman, “An exact solution of a quasilinear Fisher equation in cylindrical coordinates”, Nonlinear Analysis (2007), doi:10.1016/j.na.2007.11.012.

  57. Ashfaque H. Bokhari, Munawar Karim, Deena N. Al-Sheikh and F. D. Zaman, “Circularly symmetric static metric in three dimensions and its Killing symmetry”,  International Journal of Theoretical Physics, DOI: 10.1007/s10773-008-9704-3.

   58. A.H. Kara, A. H. Bokhari and F. D. Zaman, On the exact solutions of the nonlinear wave and phi4-model equations, Journal of Nonlinear Mathematical Physics, vol. 15 (1), 105 – 111, 2008.

   59. Ashfaque H.Bokhari, A.H. Kara  and F.D. Zaman, On the solutions and conservation laws of the model for tumor growth in the brain, Journal of Mathematical Analysis and Applications, doi:10.1016/j.jmaa.2008.09.065.

  60. Ashfaque H. Bokhari, A. H. Kara, M. Karim and F. D. Zaman, “Invariance analysis and variational conservation laws for the wave equation on some manifolds”, International Journal of Theoretical Physics (accepted for publication, 2009