"The asymptotic expansion and numerical verification of Van der Pol's equation", jointly with E. Deeba, Journal of Computational analysis and Applications, Vol. 3, No. 2, (2001), 165-171.
"Numerical techniques for solving a biharmonic equation in a sectorial region", jointly with E. Deeba and S. A. Khuri, Chapter 8, Differential equations and Nonlinear Mechanics, Kluwer Academic Publishers, 2001, 89-100.
"An algorithm for solving bond pricing problem", jointly with E. Deeba, Applied Mathematics and Computation, 128 (2002), 81-94.
"Distributional Analog of a Functional Equation", jointly with E. Deeba, Applied Mathematics Letters, Vol. 16 (2003), 669-673.
"A decomposition method for solving a nonlinear business cycle model", jointly with E. Deeba, G. Dibeh, and S. A. Khuri, ANZIAM Journal, 45(2003), 295 – 302.
"Numerical approximation for integral equations", jointly with Elias Deeba, International Journal of Mathematics and Mathematical Sciences, Vol. 2004, No. 20, 1057 – 1065.
"An Adomian decomposition method for predator-prey model equations", jointly with E. Deeba and J. Yoon, Journal of Concrete and Applicable Mathematics, Vol. 5, No. 4, 323-329, 2007.
"Numerical Algorithms for Solving A Type of Nonlinear Integro-Differential Equations" Online Journal of World Academy of Science, Engineering and Technology, 65, pp. 1083-1086, 2010.
"Two Numerical Algorithms for Solving a Partial Integro-Differential Equation with a Weakly Singular Kernel", jointly with J. Yoon and V. Hrynkiv. Applications and Applied Mathematics: An International Journal, v.7, issue 1, 133-141, 2012.
"A Series Solution to a Partial Integro-Differential Equation Arising in Viscoelasticity", jointly with J. Yoon and V. Hrynkiv, IAENG International Journal of Applied Mathematics, Vol. 43 Issue 4, pp. 172-175, 2013.
functional equations in distributions;
numerical and analytical solutions of partial and ordinary differential equations arising in applications;
numerical and analytical solutions of integral equations and applications;
the application of decomposition methods to solve nonlinear equations;
mathematical physics and computational medicine;
fuzzy logic theory: techniques and applications;
numerical verification of perturbation solution of differential equations;
applied statistics and data analysis
Award for Excellence in Scholarly/Creativity, University of Houston-Downtown