Browsing by Author "N. A. Chaudhry"

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    Adomian decomposition method with Neumann boundary conditions for solution of nonlinear boundary value problem
    (Science International, 2015) Sana. A.; N. A. Chaudhry; M.Saeed; M.F.Tabassum
    The Adomian decomposition method (ADM) is a creative and effective method for exact solution of functional equations of various kinds. Adomian decomposition method solves wide class of linear and non-linear, ordinary or partial differential equations. This paper presents the Adomian decomposition method for the solution of nonlinear boundary value problem using Neumann boundary conditions. In this approach, the solution is found in the form of a convergent power series with easily computed components. To show the efficiency of the method, numerical results and graphical representation of results are presented and compared with exact solution.
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    Minimization of two bar bracket optimization problem through derivative free methods
    (Science International, 2015) Sadaf, S.; M. F. Tabassum; A. Sana; N. A. Shahid; N. A. Chaudhry; M. Saeed
    The purpose of this exploration is to construct optimization models of two bar bracket alongside stress constraints. The derivative free methods Nelder-Meed Method, Hooke-Jeeve Method and Multidirectional Search Methods are used to solve model. Penalty functions are used to eliminate constraints. Then constrained optimization model is changed into unconstrained model. Finally discuss the comparison and efficiency of these methods through MATLAB Programming.