Topic
Finite difference method
About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
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TL;DR: A systematic procedure based on nonlocal approximation is proposed for the construction of qualitatively stable nonstandard finite difference schemes for the logistic equation, the combustion model and the reaction-diffusion equation.
134 citations
TL;DR: Finite-difference versions of some recently developed Krylov subspace projection methods are presented and analyzed in the context of solving systems of nonlinear equations using Inexact-Newton Met... as discussed by the authors.
Abstract: Finite-difference versions of some recently developed Krylov subspace projection methods are presented and analysed in the context of solving systems of nonlinear equations using Inexact-Newton Met...
134 citations
TL;DR: In this paper, a fast implicit finite difference (FIFD) method was proposed to handle homogeneous and heterogeneous rate constants of any order of magnitude with potential steps of several millivolts.
134 citations
TL;DR: A numerical theory based on the mixed finite element method for a time-fractional fourth-order partial differential equation (PDE) is presented and an a priori error result in H^1-norm for the scalar unknown u also is proved.
134 citations
TL;DR: In this paper, the authors set up and analyzed difference schemes for solving the initial value problem for the socalled Korteweg-de Vries equation, which implicitly contain the effect of dissipation.
Abstract: The purpose of this paper is to set up and analyse difference schemes for solving the initial-value problem for the socalled Korteweg-de Vries equation. After the discussion of a difference scheme which is correctly centered in both space and time, the construction of difference schemes which implicitly contain the effect of dissipation is described.
134 citations