A novel and eective method based on Haar wavelets and Block Pulse Functions(BPFs) is proposed to solve nonlinear Fredholm integro-dierential equations of fractional order.The operational matrix of Haar wavelets via BPFs is derived and together with Haar waveletoperational matrix of fractional integration are used to transform the mentioned equation to asystem of algebraic equations. Our new met...

In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle...

In this paper, we present a numerical integration method to solve singularly perturbed delay differential equations. In this method, we first convert the second order singularly perturbed delay differential equation to first order neutral type delay differential equation and employ the numerical integration. Then, linear interpolation is used to get three term recurrence relation which is solve...

A numerical dynamic-aerodynamic interface for simulating the separation dy­n­a­m­ic­s of co­n­­s­t­r­a­i­ned strap-on boosters jettisoned in the atmosphere is presented. A 6-DOF multi body dynamic solver ،using Constraint For­ce Equation Methodology is coupled with a numerical time dependent Euler flow solver. An automatic dyna­m­i­­c mesh updating proc­e­d­ure is employed using smoothing and l...