Add to ORKGFourier transform is applied to remove the time-dependent variable in the diffusion equation. Under non-harmonic initial conditions this gives rise to a non-homogeneous Helmholtz equation, which is solved by the method of fundamental solutions and the method of particular solutions. The particular solution of Helmholtz equation is available as shown in [4,15]. The approximate solution in frequency domain is then inverted numerically using the inverse Fourier transform algorithm. Complex frequencies are used in order to avoid aliasing phenomena and to allow the computation of the static response. Two numerical examples are given to illustrate the effectiveness of the proposed approach for solving 2-D diffusion equations
When approximating multidimensional partial differential equations, the values of the grid functions...
International audienceThe aim of this work is the development of a space-time diffuse approximation ...
In this paper, basic concepts of Fourier transforms are introduced. Then properties of Fourier trans...
Fourier transform is applied to remove the time-dependent variable in the diffusion equation. Under ...
An analytically based approach for solving a transient heat transfer equation in a bounded two dimen...
Analytical Green's functions in the frequency domain are presented for the three-dimensional diffusi...
The applications of the Eikonal and stationary heat transfer equations in broad fields of science an...
Abstract. In the paper the numerical solution of boundary-initial problem described by the Fourier e...
In this article we describe a numerical method to solve a nonhomogeneous diffusion equation with arb...
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discre...
A new version of the method of particular solutions (MPS) has been proposed for solving inverse prob...
AbstractThe solution of time-dependent partial differential equations using discrete (i.e. finite di...
An increasing number of publications proposing various modified forms of the heat conduc...
After the successful applications of the combination of the method of fundamental solutions (MFS), t...
In fact, the heat equation with Dirichlet boundary conditions has analytical solutions for a number ...
When approximating multidimensional partial differential equations, the values of the grid functions...
International audienceThe aim of this work is the development of a space-time diffuse approximation ...
In this paper, basic concepts of Fourier transforms are introduced. Then properties of Fourier trans...
Fourier transform is applied to remove the time-dependent variable in the diffusion equation. Under ...
An analytically based approach for solving a transient heat transfer equation in a bounded two dimen...
Analytical Green's functions in the frequency domain are presented for the three-dimensional diffusi...
The applications of the Eikonal and stationary heat transfer equations in broad fields of science an...
Abstract. In the paper the numerical solution of boundary-initial problem described by the Fourier e...
In this article we describe a numerical method to solve a nonhomogeneous diffusion equation with arb...
This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discre...
A new version of the method of particular solutions (MPS) has been proposed for solving inverse prob...
AbstractThe solution of time-dependent partial differential equations using discrete (i.e. finite di...
An increasing number of publications proposing various modified forms of the heat conduc...
After the successful applications of the combination of the method of fundamental solutions (MFS), t...
In fact, the heat equation with Dirichlet boundary conditions has analytical solutions for a number ...
When approximating multidimensional partial differential equations, the values of the grid functions...
International audienceThe aim of this work is the development of a space-time diffuse approximation ...
In this paper, basic concepts of Fourier transforms are introduced. Then properties of Fourier trans...