[PDF] Top 20 Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation

... Telegraph equation. Mohebbi and Dehaghan [19] studied high order compact solution to solve the telegraph ...a numerical solution based on Chebyshev Tau ...Galerkin ... See full document

... the collocation points near the boundaries would be very close to each ...the solution could be compromised, if too high an order of the expansion is ...a numerical problem specific only to the LCPS ... See full document

... Deterministic differential models require that the parameters involved be completely known, though in the original problem, one often has insufficient information on param- eter values. These may fluctuate due to some ... See full document

... which is plotted in Figure 2. This is a biharmonic boundary-value problem of second kind. The governing equation (1) is split into two Poisson equations (4) and (5) with Dirichlet boundary conditions. Several ... See full document

... A solution based on fourth order accurate compact ADI scheme by Radwan [2], Khater et al [3] studied Burgers’ equations by using A Chebyshev spectral collocation method, Ali et al ... See full document

... For the non-Newtonian viscoelastic fluid the value of the skin friction coefficient is equal to –( – K )f (). To validate our numerical solution, we compare that value with the earlier work of Rajagopal et ... See full document

... of numerical methods, spectral methods are one of the most popular methods of discretization for the numerical solution of partial differential equations and integral ...this method ... See full document

... differential equation is usually solved numerically with two point boundary conditions, that one of which is defined on ...the solution of the differential boundary value problem (BVP) because of the ... See full document

... the Chebyshev collocation method is applied to the solution of space fractional differential ...and Chebyshev collocation method are used. The numerical results ... See full document

... the numerical solution to the Biot partial differential equation is a quite difficult affair, for the reason of fully coupled Biot’s model with complicated algebraic systems and nonlinear impediments ... See full document

... wave equation are obtained by using collocation method with septic B-spline finite elements with three different linearization ...proposed method. Accuracy of the method is discussed by ... See full document

... Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph ...Crank–Nicolson collocation spectral model based on the Chebyshev polynomials for the 2D ... See full document

... different numerical methods have been offered to obtain the solution of these kinds of mathematical ...known numerical methods are reviewed as follows. In [3], the numerical solution of ... See full document

... the solution of nonlinear fractional integrodifferential equation by Colloca- tion method with the help of shifted Chebyshev ...the solution of nonlinear fractional integrod- ... See full document

... direct Chebyshev PS(CPS) method for optimal control problems governed by PDEs does not usually give an explicit solu- ...CPS method for solving necessary optimal conditions in an optimal control ... See full document

... for spectral approximations and then as collocation points to determine the expansion ...Lagrange’s spectral collocation method are investigated through two examples of 2D space ... See full document

... the numerical solution of differential equa- tions, our focus is to use an appropriate B-splines for the numerical solution of ...fractional telegraph partial differential ...a ... See full document

... implement chebyshev collocation method to the solution of ...the solution of the considered problem is ...some numerical results to clarify the proposed ... See full document

... centroid method. We first apply the centroid method for both the 4-piece and 5-piece ...The numerical results using the uniform mesh are given in Table ...These numerical results are ... See full document

... the Chebyshev polynomial-based weighting coefficient matrix for approximation of fractional derivatives has been ...approximate numerical solu- tions of fractional Riccati differential ...Our numerical ... See full document