Research Publications

 

  1. Davies, A.R., Iqbal, M., Maleknejad, K and Redshaw, T.C. “A comparison of statistical regularizations and Fourier extrapolation methods for numerical deconvolution in Numerical Treatment of Inverse Problems in Differential and Integral Equation”. Eds: P. Deuflheld and E. Hairer. Birkhauser Verlag, July1983, pp. 330-334 (Math. Reiews 85th 65269).
  2. Iqbal, M. “On the generalzed cross validation method to first kind Fredholm integral equations of convolution type” P.U.J.M. vol. XVI (1983), 99-112 (ath. Reviews 87C 65164(B)).
  3. Iqbal, M. “On the Kleins, regularization (using splines) for the numerical solution of certain Fredholm convolution equations of the first kind”. P.U.J.M. voll XVI (1983), 53-72. (Math. Reviews 87C 65164(A)).
  4. Iqbal, M. “Numerical solution of a Fredholm convolution type integral equation of the first kind with maximum likelihood method using cardinal cubic B-splines”. Journal of Natural Sciences and Mathematics, vol. 24, no.2 (October 1984), 201-232. (Math Reviews 86G 65232).
  5. Iqbal, M. “Maximum likelihood method for solving Fredholm convolution type of equations of the first kind using trigonometric approximations”. P.U.J.M., vol. (XVII-XVIII) (1984, 1985), 119-132. (Math Reviews 874651).
  6. Habibullah, G.M. and Iqbal, M. “A mixed norm estimate for Bessel potentials”. Journal of Natural Sciences and Mathematics, vol. 25, No.2 (October 1985 87-M 42011).
  7. Iqbal, M. “Estimating solutions of first kind integral equation of convolution type using generalized cross validation method with trigonometric polynomial approximation, P.U.J.M., vol. (XVII-XVII) (1985), 133-150. (Math Reviews 847652).
  8. Iqbal, M. “Numerical solution of ill-posed problems by regularization methods”, P.U.J.M., vol. XIX, (1986), 59-82) (Math Reviews 88th 65243).
  9. Iqbal, M. “Numerical Laplace transform inversion by a regularization method”. P.U.J.M., vol. XX, 1987, 71-96. (Math Reviews 89G65162).
  10. Iqbal, M. “Numerical inversion of Laplace transform using cross-validation method”. Journal of Natural Sciences and Mathematics, vol. 28, No.1 (April 1988), 141-152.
  11. Iqbal, M. “Comparison of methods of solving ill-posed problems in the form of Fredholm integral equations of the first kind with or without non-negativity constraints”. P.U.J.M., vol. XXI (1988), 29-59, (Math Reviews 90J 65159).
  12. Iqbal, M. Turchin Klein regularization method using B-splines for ill-posed problems”. P.U.J.M., vol. XXII (198). (Math Reviews 91G 65305).
  13. Iqbal, M. “Regularization methods for the solution of Fredholm integral equations of the first kind of convolution type”. Journal of Research (Science) of Bahauddin Zakariya University, Multan, Pakistan, vol. 2 No.3 (1990), 45-49.
  14. Iqbal, M. “Numerical solutions of some highly improperly posed problems”. P.U.J.M., vol. XXIII (1990), 1-22 (Math Reviews 92-e-65178).
  15. Iqbal, M. “Comparison of regularization methods proposed for the numerical solution of ill-posed problems”. P.U.J.M., vol. XXIV (1991), 25-51.
  16. Bokhari, M.A. and Iqbal, M. “Asymptotic distribution of the zeros of certain Lagrange interpolants”. The Proceedings of the Edinburgh Mathematical Society (U.K.), vol. 38(1995), 99-106.
  17. Iqbal, M. “On a numerical technique regarding inversion of Laplace transform”. Journal of Computational and Applied Mathematics, Netherlands, vol. 59 (1995), 145-154.
  18. Iqbal, M. “On comparison of spline regularization and exponential sampling for Laplace transform inversion”.Computer Physics Communications, vol. 88 (1995), 43-50.
  19. Iqbal, M. “On regularized numerical inversion of Mellin transform”. Computer Physics Comm., vol. 90 (1995, 293-300.
  20. Bokhari, M.A. and Iqbal, M. “-approximation of real valued functions with interpolatory constraints”. J. of Computational and Applied Mathematics, vol. 70 (1996), 201-205.
  21. Iqbal, M. “On the maximum likelihood regularization of inversion of Laplace transform”. P.U.J.M., vol. 29 (1996), 100-111.
  22. Iqbal, M. “Maximum likelihood method for numerical inversion of Mellin transform”. J. II-Nouvo Cimento, vol. 112B, N5 (1997), 687-699.
  23. Iqbal, M. “On spline regularized inversion of noisy Laplace transform”. J. of Computational and Applied Mathematics, vol. 83 (1997), 39-54.
  24. Iqbal, M. “A statistical perspective on numerical inversion of Laplace transform”. J. of the Physical Society of Japan, vol. 67, No.3, (1998), p. 767-771.
  25. Iqbal, M. “Numerical solutions of Nagumos Equation”. Journal of Applied Mathematics and Decision Sciences (JAMDS), vol. 3, No.2 (1999), 189-193.
  26. Iqbal, M. “Spline Regularization of Numerical Inversion of Mellin Transform”, Journal Foundation of Computing and Decision Sciences., vol.25, No.1 (2000), 49-64.
  27. Iqbal, M. “On photone correlation measurements of colloidal size distributions using Bayesian strategies”, Journal of Computational ad Applied Mathematics, vol. 126 (2000), pp. 77-89.
  28. Iqbal, M. “Fourier method for numerical inversion of Laplace transform”, Journal of Applied Mathematics and Decision Sciences”,vol.5, no.3 (2001), 239-246.
  29. Iqbal, M. “Constrained regularization method for stable solutions of ill-posed problems”. Int. Mathematical Journal, vol.1, No.4 (2002), Japan, 2002.
  30. Iqbal, M. “Bayesian regularization of Num. Inv. Of Mellin Transform”. International Mathematical Journal, vol.2 No.7, Japan, (2002), 671-693.
  31. Iqbal, M. “Numerical inversion of Laplace transform reproducing Kernal Hilbert Space”. Accepted for publication in IJMEST, vol.33, (2002), U.K.
  32. Al-Shuaibi, Abdul Aziz ad M. Iqbal. “ON comparison of operator theoretic method with regularization method of ill-posed problems”. Accepted for publication in International Journal of Pure and Applied Mathematics (2002).
  33. Iqbal, M. “Deconvolution and regularization for numerical solutions of incorrectly posed problems”. Accepted for publication in Computational and  Applied Mathematics (CAM). Netherlands.
  34. Iqbal, M. “Techniques of a Priori Choice of Regularization Parameters of Tikhonov Regularization”. Presented at the Saudi Association of Mathematical Sciences (SAMS) held at Prince Sultan University Riyadh on 7-8 April 2004.