In this paper, the numerical solution of fractional (non-integer)-order Cattaneo equation for describing anomalous diffusion has been investigated. Two finite difference schemes namely an explicit predictor–corrector and totally implicit schemes have been developed. In developing each scheme, a separate...
To remember the difference, remember that theex-inexplicitcomes from the prefix meaning “out,” and theim-inimplicitcomes from the prefix meaning “in.” If something’sexplicit, a person comes right out and says it; if something’simplicit, the true meaning is in someone’s head. The wo...
5.1 Finite element or finite difference analysis: implicit and explicit Generally there are two methods to solve a dynamic equilibrium equation at every time step in a FE/FD analysis. One method is to predict the solution at time t+dt by using the solution at time t. This is called explici...
1. Implicit transaction is auto commit, there are no beginning and ending of the transaction while explicit transaction has beginning and end and rollback command. 2. In explicit transaction, if error occurs between transaction then it can be roll back where as it is not possible in implicit ...
explicit-implicit alternating parallel difference methodsstabilityconvergence ordernumerical experimentsThe research on the numerical solution of the two-dimensional Black-Scholes equation (the quanto options pricing model) has important theoretical significance and practical value. We propose a class of ...
Answer to: Explain the difference between implicit and explicit costs. Give two examples of when an explicit cost is different from an implicit...
4.Explicit approximation scheme (1)Establishment of equations.If the difference in equation(3.55)will be taken at time step k,equation(3.55)will become Let The solution for φi,k+1 will be: It is clear that for k=0,1,2,…,m,the unknown head φi,k+1 is represented explicitly by thr...
Once α, β and γ are defined we can use the finite differencing to update the solution into the new_result vector. This formula will also be clear from the mathematical algorithm above: void FDMEulerExplicit::calculate_inner_domain() { // Only use inner result indices (1 to J-2) for...
1) implicit-explicit difference scheme 隐-显差分格式2) alternating segment explicit-implicit difference scheme 交替分段显-隐差分格式3) alternating explicit-implicit difference scheme 交替显-隐差分格式4) implicit-explicit upwind difference scheme 隐-显迎风差分格式...
The hybrid implicit‐explicit (HIE) finite‐difference time‐domain (FDTD) method with the convolutional perfectly matched layer (CPML) is extended to a full three‐dimensional scheme in this article. To demonstrate the application of the CPML better, the entire derivation process is presented, in...