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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

The Finite Difference Methods for Hyperbolic – Parabolic Equations [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2005
The objective of this paper is to construct numerical schemes using finite difference methods for the one-dimensional general hyperbolic- parabolic- reaction problem.
Abbas Al-Bayati   +2 more
doaj   +1 more source

The Finite Difference Methods for φ4 Klein-Gordon Equation [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
We solved φ4 Klein-Gordon equation numerically by using two finite difference methods: The first is the explicit method and the second is the implicit (Crank-Nicholson) method.
Saad Manaa, Laya Hawell
doaj   +1 more source

Multiplicative finite difference methods [PDF]

open access: yesQuarterly of Applied Mathematics, 2009
Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.
Rıza, Mustafa   +2 more
openaire   +5 more sources

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

Deep FDM: Enhanced finite difference methods by deep learning

open access: yesFranklin Open, 2023
In this work, we propose a new idea to improve numerical methods for solving partial differential equations (PDEs) through a deep learning approach.
Tatiana Kossaczká   +2 more
doaj   +1 more source

An efficient and highly accurate singularity extraction method for the evaluation of transient potentials of stratified media

open access: yesIET Microwaves, Antennas & Propagation, 2023
An efficient and highly accurate method for extracting the singularity of scalar potential time‐domain Green's function (TDGF) of layered media is presented.
Seyyed Abbas Sahafi   +2 more
doaj   +1 more source

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