Research Publications
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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).
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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)).
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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)).
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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).
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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).
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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).
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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).
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Iqbal, M. “Numerical solution of ill-posed problems by regularization
methods”, P.U.J.M., vol. XIX, (1986), 59-82) (Math Reviews 88th
65243).
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Iqbal, M. “Numerical Laplace transform inversion by a regularization
method”. P.U.J.M., vol. XX, 1987, 71-96. (Math Reviews 89G65162).
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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.
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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).
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Iqbal, M. Turchin Klein regularization method using B-splines for ill-posed
problems”. P.U.J.M., vol. XXII (198). (Math Reviews 91G 65305).
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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.
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Iqbal, M. “Numerical solutions of some highly improperly posed problems”.
P.U.J.M., vol. XXIII (1990), 1-22 (Math Reviews 92-e-65178).
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Iqbal, M. “Comparison of regularization methods proposed for the numerical
solution of ill-posed problems”. P.U.J.M., vol. XXIV (1991), 25-51.
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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.
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Iqbal, M. “On a numerical technique regarding inversion of Laplace
transform”. Journal of Computational and Applied Mathematics, Netherlands,
vol. 59 (1995), 145-154.
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Iqbal, M. “On comparison of spline regularization and exponential sampling
for Laplace transform inversion”.Computer Physics Communications, vol. 88
(1995), 43-50.
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Iqbal, M. “On regularized numerical inversion of Mellin transform”.
Computer Physics Comm., vol. 90 (1995, 293-300.
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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.
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Iqbal, M. “On the maximum likelihood regularization of inversion of Laplace
transform”. P.U.J.M., vol. 29 (1996), 100-111.
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Iqbal, M. “Maximum likelihood method for numerical inversion of Mellin
transform”. J. II-Nouvo Cimento, vol. 112B, N5 (1997), 687-699.
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Iqbal, M. “On spline regularized inversion of noisy Laplace transform”. J.
of Computational and Applied Mathematics, vol. 83 (1997), 39-54.
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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.
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Iqbal, M. “Numerical solutions of Nagumos Equation”. Journal of Applied
Mathematics and Decision Sciences (JAMDS), vol. 3, No.2 (1999), 189-193.
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Iqbal, M. “Spline Regularization of Numerical Inversion of Mellin
Transform”, Journal Foundation of Computing and Decision Sciences., vol.25,
No.1 (2000), 49-64.
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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.
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Iqbal, M. “Fourier method for numerical inversion of Laplace transform”,
Journal of Applied Mathematics and Decision Sciences”,vol.5, no.3 (2001),
239-246.
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Iqbal, M. “Constrained regularization method for stable solutions of
ill-posed problems”. Int. Mathematical Journal, vol.1, No.4 (2002), Japan,
2002.
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Iqbal, M. “Bayesian regularization of Num. Inv. Of Mellin Transform”.
International Mathematical Journal, vol.2 No.7, Japan, (2002), 671-693.
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Iqbal, M. “Numerical inversion of Laplace transform reproducing Kernal
Hilbert Space”. Accepted for publication in IJMEST, vol.33, (2002), U.K.
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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).
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Iqbal, M. “Deconvolution and regularization for numerical solutions of
incorrectly posed problems”. Accepted for publication in Computational and
Applied Mathematics (CAM). Netherlands.
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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.