adomian decomposition methodtwo-dimensional Heat flow equationIt is proposed that two dimensional heat flow equation can be solved by Adomian decomposition method (ADM).MANISH GOYALDepartment of Applied Sciences and HumanitiesActa Ciencia Indica
In this study, an alternative method is presented for the solution of two-dimensional heat equation in a square region. In this method, the solution function of the problem is based on the Green function, and therefore on elliptic functions. The numerical results have been computed for an appl...
Finite Differences and Collocation Methods for the Solution of the Two Dimensional Heat EquationFinite Differences and Collocation Methods for the Solution of the Two Dimensional Heat EquationFinite difference theoryCollocationThermodynamicsTwo dimensional modelsDerivation...
We study some space-time integrability estimates for a solution of an inhomogeneous heat equation in (0, T) ×Ω with 0-Dirichlet boundary condition, where Ω is a bounded domain in R 2 . We also discuss an exponential integrability estimate for the Poisson equation in Ω with 0-Dirichlet ...
We consider a two-dimensional sideways heat equation on R+2, which is known to be an ill-posed problem. We propose a regularization approach by means of the orthogonal MRA generating the Meyer wavelet. The main reason for this is the fact that the Fourier transform of Meyer wavelet is know...
A method for the numerical integration of the one-dimensional heat equation using chebyshev series A numerical solution of with general linear boundary conditions alongx= ±1, is described where at any timetthe Chebyshev expansion of θ(x,t) in –1 ≤x≤ 1 is computed directly. Compared with...
APPLICATION OF VARIABLE INTERCHANGE METHOD FOR SOLUTION OF TWO-DIMENSIONAL FUSION PROBLEM WITH CONVECTIVE BOUNDARY CONDITIONS variable interchange method for solution of two-dimensional fusion problem with convective boundary conditions," Numerical Heat Transfer; Part A: Applications, ... T Ozis,V Gulkac...
A two-space dimensional heat equation perturbed by a white noise in a bounded volume is considered. The equation is perturbed by a non-linearity of the type λ : f ( AU ) :, where :: means Wick (re)ordering with respect to the free solution;λ, A are small parameters, U denotes a...
Using the two-dimensional (2D) and 3D Gelfand equation as an example, we illustrate that the homotopy analysis method (HAM) can be used to solve a 2nd-order nonlinear partial differential equation (PDE) in a rather easy way by transforming it into an infinite number of the 4th or 6th-ord...
In this work it is studied the effect of some Multigrid Method parameters on the necessary CPU time to obtain the numerical solution for a two-dimensional linear thermoelastic problem and the Laplace one. The considered parameters are: grid size, inner iteration and number of grids. The mathemati...