[PDF] Top 20 The controllability for the internally controlled 1 D wave equation via a finite difference method

... the controllability for the space semi- discretizations of the internally controlled one-dimensional wave ...the controlled system as studied in this ... See full document

... The equation was first considered as a quantum wave equation by Schrödinger in his search for an equation describing de Broglie ...The equation is found in his notebooks from late 1925, ... See full document

... the equation, based on collocation method using radial basis functions, called Kansa’s approach was used by Khattak in ...collocation method using Chebyshev polynomials for spatial derivatives and ... See full document

... cons. Finite difference method (FDM) is the most popular numerical technique which is used to approximate solutions to differential equations using finite difference equations ...using ... See full document

... nonlinear wave phenomenon is the important area of scientific research, which many scientists in the past have studied about mathematical models explaining the wave ...of wave behaviors–for example, ... See full document

... 1D wave equation by using finite difference scheme and to investigate the behavior of 1D wave through the variation of the system’s ...the 1-dimensional wave ... See full document

... A finite difference method was proposed to solve the parabolic equation in polar coordinates in ...compact difference scheme for the Helmholtz ...Helmholtz equation with ... See full document

... Bi-CGSTAB method to solve the problem. Figure 1, Figures 2 and 3 are the simulation results for wave number 20, 30 and 40 respec- ...the wave has more vibration as k ... See full document

... P-SV wave scattering by 2-D parallel cracks using the finite difference method ...present method, we calculate the displacement discontinuity along an isolated crack caused by harmonic ... See full document

... semi-discrete internally controlled systems have the exactly controllable property which the original controlled systems ...a controllability result for the semi-discrete one-dimensional ... See full document

... The front-axle assembly is used to transmit forces from the wheels to the chassis of a vehicle. The main parts of the front-axle assembly are the I beam, the knuckle extension and the bolt. The loads on the elements ... See full document

... some finite difference schemes. This difference equation is resulted from the spatial discretization of ...biharmonic equation with a linear ...computation method is a very good ... See full document

... the controllability for a one-dimensional wave equation in domains with moving ...This equation characterizes the motion of a string with a fixed endpoint and the other one ...than 1 – ... See full document

... The main objective of this project is to develop simulation software using Visual C++ based on Finite Difference Method FDM to solve the Scalar Wave Equation in optical devices.. Other o[r] ... See full document

... is any given initial value. Equation (.) may describe the motion of a string with a fixed endpoint and a moving one. The constant k is called the speed of the moving endpoint. By [], for  < k < , any (u ... See full document

... The mimetic method for the steady diffusion equations (4.1) is too general for the purpose of our theoretical analysis. Therefore two simplifications are in order. They are the assumption that K is the identity ... See full document

... discretization method based on mixing finite difference scheme is applied to a simplified 2-D quasilinear unsteady biharmonic ...differential equation is defined with subject to initial ... See full document

... Remark  Though the OFEE solutions of Problem  are theoretically ensured with an ac- curacy of order O(t  , h k ) (if t = O(h)), due to error accumulation in the computational process, the actual numerical solutions ... See full document

... This method requires nodal coincidence for the two ...FVTD method, which offers a correspondence between a quadrilateral face and two triangular faces in terms of the exchange of ... See full document

... The finite difference time domain method (FDTD) is a discrete spatio-temporal numerical simulation method that has been shown as being appropriate for modeling acoustic wave propaga- ... See full document