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 theGreen function, and therefore on elliptic functions. The numerical results have been computed for an applic...
Theoretical or Mathematical/ heat transfernumerical analysis/ two dimensional analogueHelmholtz equationheat flowLaplacian potential field/ A0290 Other topics in mathematical methods in physics A4400 Heat flow, thermal and thermodynamic processes A4725Q Convection and heat transfer...
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...
A two-dimensional mathematical model of heat transfer in three subsequent layers (sheet glass, heating foil, liquid) was proposed. Heat transfer in all these layers was described with the respective equations: Laplace equation, Poisson equation and energy equation, subject to boundary conditions ...
dimensional van-der-Waals alkylammonium halides. Via introducing long carbon chains in ammonium halide plastic crystals, two-dimensional structure forms in (CH3–(CH2)n-1)2NH2X (X: halogen element) with weak interlayer van-der-Waals force, which dictates interlayer expansion as large as 13% ...
The global-in-time existence of weak solutions to the barotropic compressible quantum Navier–Stokes equations in a three-dimensional torus for large data ... Jüngel,Ansgar - 《Siam Journal on Mathematical Analysis》 被引量: 155发表: 2010年 Existence and blowup behavior of global strong solutions...
The Navier Stokes equations along with the energy equation have been solved by using simple technique. The domain is discretized using 2626 elements and that corresponds to a total number of nodes 2842. The channel has a constant heat flux at the two walls and the threedimensional numerical ...
OPTIMUM PARAMETERS OF A GEOMETRIC MULTIGRID FOR THE TWO-DIMENSIONAL LAPLACE'S EQUATION On the necessary CPU time to solve a problem of heat transfer, one verifies the effect caused by: coarsening ratio (r); number of nodes (N) and grids (L); number of inner iterations (ITI); and correcti...
Y. Zhang, Remarks of global wellposedness of liquid crystal flows and heat flows of harmonic maps in two dimensions, Proc. Amer. Math. Soc., 142(11... Z Lei,D Li,X Zhang - 《Proc.amer.math.soc》 被引量: 73发表: 2014年 Long-range orientational order in two-dimensional liquid crysta...