In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...

In the presented paper, the governing equations of a vibratory beam with moderately large deflection are derived using the first order shear deformation theory. The beam is homogenous, isotropic and it is subjected to the dynamic transverse and axial loads. The kinematic of the problem is according to the Von-Karman strain-displacement relations and the Hook's law is used as the constitutive eq...

In this paper, an efficient modification of homotopy perturbation method, namely optimal homotopy perturbation method, is introduced for solving linear and nonlinear partial differential equations with large solution domain based on a new homotopy perturbation method and Padé approximation method. We compare the performance of the method with those of new homotopy perturbation and optimal varia...

AbstractAn analytic technique, combination of two methods Homotopy Perturbation Method and Variational Iteration Method are applied for solve second kind of linear Volteera equations. homotopy perturbation method and variational iteration method are employed to solve Volteera integral equations. The result reveals that the homotopy perturbation method and variational iteration method are very e...

We investigate the hard nonresonant excitation of the forced Duffing equation with a positive damping parameter E. Using the symbolic manipulation system MACSYMA, a computer algebra system. we derive the two term perturbation expansion by the method of multiple time scales. The resulting approximate solution is valid for small values of the coefficient e As the damping parameter e increases, th...

In the past few decades intensive investigations have been carried out on the one-dimensional anharmonic oscillator because of both its role in the modeling of quantum field theory and its usefulness in atomic, and molecular physics . The conventional way to study the energy eigenvalues and eigenfunctions of this bound-state problem is the practical application of perturbation expansions in a c...

by Qi Wang, M.S. Washington State University December 2003 Chair: Krishnamoorthy Sivakumar Preserving privacy is becoming an important issue in data mining. Random perturbation is a widely used technique to protect privacy of sensitive data values. This technique hides the true data records by modifying the data values using additive random noise, but can still estimate the data distribution fr...

Bistatic radar cross sections are calculated using two modern scattering models: the small slope approximation (both firstand second-order) and the phase perturbation technique. The problem is limited to scalar-wave scattering from two-dimensional, randomly rough Diricblet surfaces with a Gaussian roughness spectrum. Numerical results for the cross sections are compared to those found using the...