[PDF] Top 20 Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain

... of diffusion-driven ...of diffusion, to be driven unstable by the presence of diffusion and evolve to a spatially non-uniform steady ...(CIMA) reaction and Ouyang and Swinney [20] were the ... See full document

... nonlinear finite difference schemes for the nu- merical solution of ...Iterative methods by which each of these schemes may be solved are presented in [3, ...function, one may construct a sequence of ... See full document

... two dimensional diffusion reaction problem modelling the density of di-vacancies and vacancies in a ...but one dimension is ...or analysis of numerical methods for partial ... See full document

... The finite difference method such as alternating group iterative methods is useful in numerical method for evolutionary equations and this is the standard approach taken in this ...iterative ... See full document

... for reaction–diffusion equation in high spatial ...semi-discrete reaction–diffusion equation can be rewritten as a system of nonlinear ordinary differential equations (ODEs) in matrices ...cIIF methods ... See full document

... ADI methods [11, 24]. For these methods, the difference equations are specified and solved in one direction at a ...ADI methods, the operator form ... See full document

... In finite element method, we seek the approximate solution in a finite number of sub-domains instead of solving the problem in the whole computational ...sub- domain are called ... See full document

... By an example of a one-dimensional problem the new set of analytical schemes is offered. By these schemes it is possible to receive an analytical solution. Testing of the offered schemes by example ... See full document

... la convergence se ram` ene alors ` a l’analyse de ce correcteur si la solution est suffisamment r´ eguli` ...de convergence s’il persiste dans le maillage une droite fixe parall` ele ` a la ... See full document

... asymptotic expansion for u is constructed that involves boundary and corner layer functions. By perturbing this asymptotic expansion, we obtain certain sub- and super-solutions and thus show the existence of a solution u ... See full document

... classification methods are compared using base and meta(Combination of Multiple Classifier for training) level classifiers, for the fruitful diagnosis of Lower Back ...Knowledge Analysis), suite of machine ... See full document

... strong diffusion term in order to maintain stability and produce positive ...the diffusion used in the first step. The anti­ diffusion is applied everywhere except where it is advantageous to ... See full document

... As shown in Fig. 1, a microstrip line terminated with a memristor is simulated to verify the accuracy of the proposed two methods. The relative dielectric constant ε r of the circuit substrate is 9.4 and the ... See full document

... the analysis, the derived error estimate is ...5, one can observe a higher order of convergence in the convection-dominated ...of convergence for standard norms depend on the concrete grid and ... See full document

... Figure 5.1 shows the Error vs. the number of degrees of freedom, DOF, in a semi-log scale. The curves indicate exponential convergence and the fact that they coincide indicates robustness. The two curves that are ... See full document

... were again used. Gas turbine boundary conditions are determined by a »twin-nozzle« model 171, where by instantaneous turbine discharge coef­ ficients and isentropic efficiency, computed by means of radial twin-turbine ... See full document

... value problem was constructed then a unique positive solution was shown to ...sensitivity analysis was carried out which interestingly shows that not all parame- ters can be estimated from the ... See full document

... the Finite Difference Time Domain (FDTD) technique for acoustic wave created an opportunity for underground cavity detection that poses strong potential for acoustic wave spectrum ... See full document

... value problem was solved by applying finite difference techniques (See Burggraf [5], Mills ...Multigrid methods ( Macormic [14] and Bramble et al [4] ) have also been employed for this ... See full document

... Developing solutions to the Stokes equations has at- tracted many researchers because of its practical impor- tance in the field of fluid mechanics. However, due to the nonlinear nature of Stokes equations the main ... See full document