B.Sc., Mathematics, College of Science, Al-Mustansiriyah University, 1987. M.Sc., Mathematics, College of Science, University of Baghdad, 1993. Ph.D., Applied Mathematics, College of Science, Al-Mustansiriyah University, 2006.
Operations research
Applied mathematics
Finite mathematics, BASIC programming language, calculus, linear programming, FORTRAN programming language, topology, axiomatic systems and geometry, advanced calculus, operations research, ordinary differential equations, MATLAB programming language, programming in Visual BASIC, numerical analysis, mathematics for business.
In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods i
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