Search
Search Results
-
Adaptive Dynamic Grids and Mimetic Finite Difference Method for Miscible Displacement Problem
AbstractWe consider the solution of a two-phase miscible displacement problem on dynamic adaptive meshes using the mimetic finite difference method....
-
Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems
In this paper, a new adaptive upwind finite difference method based on the arc-length equidistribution principle is studied for solving the general...
-
Source Identification for Parabolic Equations from Integral Observations by the Finite Difference Splitting Method
We study the problem of reconstructing an unknown source term in parabolic equations from integral observations. It is reformulated into a...
-
A Novel Decomposition as a Fast Finite Difference Method for Second Derivatives
In this paper, we propose a fast solver for the linear system-induced from applying the finite difference method. For this purpose, we provide a new...
-
A fast finite difference method for 2D time variable fractional mobile/immobile equation
In this paper, we establish a fast Crank–Nicolson L1 finite difference scheme for two-dimensional time variable fractional mobile/immobile diffusion...
-
On the finite difference method with penalty for numerical solution of PDEs over curved domains
This paper aims to decipher the elliptic PDEs defined over curved complex domains with a penalty approach in a finite difference scheme. Using the...
-
Error bounds for a least squares meshless finite difference method on closed manifolds
We present an error bound for a least squares version of the kernel based meshless finite difference method for elliptic differential equations on...
-
RETRACTED ARTICLE: Optimal design of garments for high-temperature operations based on the finite difference method
Professional clothing design for high-temperature operations is an essential concern for industrial development. In this paper, for the existing...
-
An Explicit Adaptive Finite Difference Method for the Cahn–Hilliard Equation
In this study, we propose an explicit adaptive finite difference method (FDM) for the Cahn–Hilliard (CH) equation which describes the process of...
-
Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations
Two kinds of numerical schemes are investigated for time-fractional generalized Burgers’ equations (TFGBE). The first kind is obtained by the...
-
A numerical study on solving a fractional time-space diffusion equation via the finite difference method
This paper aims in develo** the finite difference scheme for riemann liouville space fractional diffusion equation and caputo fabrizio time...
-
A Fast Sine Transform Accelerated High-Order Finite Difference Method for Parabolic Problems over Irregular Domains
In this paper, a new Cartesian grid finite difference scheme is introduced for solving parabolic initial-boundary value problems involving irregular...
-
A Higher Order Finite Difference Method for a Singularly Perturbed Boundary Value Problem with a Small Negative Shift
This study proposes a uniformly convergent finite difference scheme on a uniform mesh to solve singularly perturbed boundary value problems for...
-
Convergence Rates of a Finite Difference Method for the Fractional Subdiffusion Equations
We consider the convergence of an effective numerical method of the subdiffusion equation with the Caputo fractional derivative in time. We...
-
A Robust Finite Difference Method for the Solutions of Singularly Perturbed Fredholm Integro-Differential Equations
This article deals with a fitted mesh finite difference method for solving a singularly perturbed Fredholm integro-differential equation. At first,...
-
Analysis of a Narrow-Stencil Finite Difference Method for Approximating Viscosity Solutions of Fully Nonlinear Second Order Parabolic PDEs
This paper approximates viscosity solutions of fully nonlinear second order parabolic PDEs by a narrow-stencil finite difference...
-
High-order finite difference methods
Finite difference (FD) methods are very popular for solving partial differential equations (PDEs) because of their simplicity. A simple but powerful...
-
Comparative Analysis of the Matrix Method and the Finite-Difference Method for Modeling the Distribution of Minority Charge Carriers in a Multilayer Planar Semiconductor Structure
The stationary differential heat and mass transfer equation with discontinuous coefficients describes various time-independent physical processes,...
-
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient
In this study, firstly, a sixth-order finite difference operator and correction technique of truncation error remainder are employed to construct a...
-
Finite Difference Methods: Construction and Implementation
In this chapter, we discuss a class of time-step** schemes of finite difference type, whose construction is based on polynomial interpolation: we...