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In this work, analytical technique, is applied to obtain an approximate analytical solution of the brachistochrone problem. The main objective is to find the solution of an brachistochrone problem. This work is done using homotopy analysis method. The method is general, easy to implement, and yields very accurate results with few computations. The homotopy(More)
A numerical technique is presented for the solution of Falkner-Skan equation. The nonlinear ordinary differential equation is solved using Chebyshev cardinal functions. The method have been derived by first truncating the semi-infinite physical domain of the problem to a finite domain and expanding the required approximate solution as the elements of(More)
Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammer-stein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The(More)