In this work, we apply explicit and implicit finite difference methods to solve the fractional Bratu equation. From the numerical examples, we will see that the explicit solution is not accurate, and the implicit solution based on Newton's method is efficient in some sense. Some theoretical ...
Explicit and Implicit methods are used in numerical simulations to solve a physical process or a series of changes. You may apply these to many scientific simulations that involve time changes such as big bang, chemical reactions, fusion, even social science models. In mathematical terms, they ...
5.3.1 Explicit and implicit methods The idea of the numerical methods for solving ODEs is that from the initial state of the equations (initial values at t=0), one can discretize the “derivative” into the “difference” approximation with a given time interval (called time step) between tw...
6.4.3 Explicit numerical integration method The explicit integration method can also be used to decouple the network at a discrete time step since it concerns only the values of the previous time step. Therefore the multisolver strategy combining the implicit method and explicit method can be used...
prove that the implicit method satisfies the charge conservation law exactly.Both methods provide accurate solutions in long-time computations and simulate the soliton collision well.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws...
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 ...
Abstract This article proposes implicit–explicit (IMEX) high-order numerical methods for pricing European and American options under Merton’s jump diffusion model. We incorporate the convex combination parameterof the zeroth-order term into the IMEX third-order and fourth-order semi-implicit backward...
形容词implicitvagueambiguous explicit 相关例句 形容词 1. 1. The doctor gave me explicit instructions on when and how to take the medicine. 大夫详细地告诉我该何时服药以及如何服药。 explicit 网络解释 1. explicit 1. 显式:堆(heap)中被分配的内存一般用于存放在使用new的构造过程中和显 式(explicit)...
In addition to the explicit stabilized methods listed below, standard methods such as explicit and implicit Euler, explicit and implicit midpoint, and Runge-Kutta 4 are implemented for comparison purposes. Explicit stabilized methods Explicit stabilized methods use an increased number of stages to incre...
The industrial problems are governed by high frequency (impact, ) during short time intervals and slower dynamics (spring-back, ) during other time intervals. The optimal solution is then to have both implicit algorithm and explicit methods readily available in the same code and to be able to ...