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A study of mimetic and finite difference methods for the static diffusion equation

Computers and Mathematics With Applications, 2018
Giselle Sosa Jones
exaly  

Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations [PDF]

open access: yesThe Scientific World Journal, 2014
Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. By the method of integral identities two-level difference scheme is constructed. For the time
I. Amirali   +3 more
doaj   +2 more sources

Finite Difference Methods for Option Pricing under Lévy Processes: Wiener-Hopf Factorization Approach [PDF]

open access: yesThe Scientific World Journal, 2013
In the paper, we consider the problem of pricing options in wide classes of Lévy processes. We propose a general approach to the numerical methods based on a finite difference approximation for the generalized Black-Scholes equation.
Oleg Kudryavtsev
doaj   +2 more sources

Finite-difference methods for solving 1D Poisson problem

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2022
The paper discusses the formulation and analysis of methods for solving the one-dimensional Poisson equation based on finite-difference approximations - an important and very useful tool for the numerical study of differential equations. In fact, this is
Serge Ndayisenga   +2 more
doaj   +1 more source

Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations

open access: yesMathematics, 2021
By the iteration of the theta-formula and treating the neighbors explicitly such as the unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage explicit algorithm to solve partial differential equations containing a ...
Humam Kareem Jalghaf   +4 more
doaj   +1 more source

A stochastic contour path finite‐difference time‐domain method for uncertainty analysis of metal slot size

open access: yesIET Microwaves, Antennas & Propagation, 2023
A stochastic contour path finite‐difference time‐domain (S‐CP‐FDTD) algorithm is presented for electromagnetic wave propagation in metallic enclosures with uncertain slot size. The correlation coefficient between the field and size of slot was set to one.
Xutong Wang   +6 more
doaj   +1 more source

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