Test problem 2. Two-dimensional diffusion equation
Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... non-linear two-dimensional reaction diffusion equation from population ...in two-dimensional reac- tion-diffusion, phenomena are studied numerically by different numerical ...
12
Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation
... of two-dimensional singular Volterra integral ...diffusion problem with an output flux which is nonlocal in time; this problem is shown to admit an analytic solution in the form of an ...
10
Numerical Solution of an Optimal Control Problem Governed by Two Dimensional Schrodinger Equation
... control problem controlled by two functions which are in the coefficients of two-dimensional Schrodinger ...the two-dimensional Schrodinger ...considered equation is ...
9
One-dimensional numerical solution of the diffusion equation to describe wood drying: comparison with two- and three-dimensional solutions
... In addition, Fig. 6 indicates that the effective mass diffu- sivity for model 2D is moderately greater than this property obtained with 3D model. On the other hand, the effective mass diffusivity for model 1D is ...
8
Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... convection–diffusion equation in two dimensions were developed in this ...l 2 -norm and the l ∞ -norm for O(τ 2 +h 4 x +h 4 y ) compact finite difference schemes and corresponding graphs have ...
24
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two Dimensional Space Fractional Diffusion Equation
... fractional diffusion equations spectral collocation is one of the efficient and most popular approximation ...of two-dimensional (2D) space fractional diffusion equations where spatial frac- ...
16
Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... a two-dimensional symmetric space-fractional diffusion equation in which the space fractional derivatives are defined in Riesz potential ...the diffusion equation, a fully ...
23
On the Performance of Sequential and Parallel Algorithm for Solving the Forward Problem of the Two-Dimensional Impedance Equation
... ) 2 dl 1 2 end function One of the most significant differences between sequential 1 and parallel Algorithm 2 is that for the parallel one we transformed the structs into arrays because while working ...
6
Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... these two-sided space-fractional diffusion equations in one di- mension, Chen et ...one-dimensional two-sided space-fractional diffusion equation with variable diffusivity ...
17
On an initial inverse problem for a diffusion equation with a conformable derivative
... inverse problem for a diffusion equation with a conformable derivative in a general bounded ...backward problem is ill-posed, and we propose a regularizing scheme using a fractional Landweber ...
24
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank Nicolson and Time Efficient ADI
... for two-dimensional convection diffusion equation using Crank-Nicholson and ADI, time-dependent nonli- near system is ...L 2 , L ∞ norms confirmed by numerical results by choosing ...
20
A Closed-Form Solution for Two-Dimensional Diffusion Equation Using Crank-Nicolson Finite Difference Method
... solving 2-dimensional diffusion equation is ...the problem in each step using conventional iterative methods, a closed-form solution is ...
7
1 Two-dimensional heat equation with FD
... 1.3 Other methods The fully implicit method discussed above works fine, but is only first order accurate in time (sec. ??). A simple modification is to employ a Crank-Nicolson time step discretiza- tion which is second ...
9
Difference -Analytical Method Of The One-Dimensional Convection-Diffusion Equation
... = − < < < Numerical results are received at h = 0,1 and P h = 5. Solid lines of a drawing of exact solutions of a problem. Circle numerals are received for UDS scheme, rectangles under the scheme of Patankar, an ...
6
Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion
... 0.3 Main results of this work This paper is divided into two parts and gives two complementary results of well-posedness, in a weak sense, of perturbed Fokker-Planck equations. First, we will address the ...
49
A free boundary problem for a reaction diffusion equation appearing in biology
... The manuscript is organized as follows. First, we establish two-sided bounds for u (t, x) and s 0 (t), and then bounds for |u| 1+α , |u| 2+α for appropriate 0 < α < 1. Afterwards, using those auxiliary ...
18
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon ...
12
Consistency Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative
... The paper studies consistency analysis for (3+1) Dimensional Advection – Diffusion equation with a mixed derivative. Taylor series expansion is used to generate the finite difference scheme of ...
12
Stability Analysis of Three Dimensional Advection-Diffusion Equation with a Mixed Derivative
... – Diffusion equation in various fields of science like transport of heat, sediment, ground water and surface flow pollutants are fully sufficient for researchers to show interest in solving this ...– ...
6
Two-dimensional MHD model of the reconnection diffusion region
... key problem is that of the resistive diffusion region where the reconnec- tion process is ...the diffusion region is associated with a nonuniform conductivity localized to a small ...the ...
8