We compare the accuracy and the error of Fourier approximation with the actual function and we find that the approximate function is very close to the actual function. We also study the solution of 1D heat equation and Laplace equation by Fourier series method. We compare the solution of heat...
Organic semiconductor solution is confined between two parallel plates with controlled micron/submicron-meter distance to minimize convection of the liquid and avoid spinodal precipitation at equilibrium. The solvent evaporation concentrates the solution gradually into an oversaturated non-equilibrium condition,...
Numerical Simulation of one dimensional Heat Equation: B-Spline Finite Element Method The comprehensive numerical study has been made here for the solution of One dimensional heat equation the Finite Element method is adopted for the solutio... V Dabral,S Kapoor,S Dhawan - 《Indian Journal of Co...
Chapter 6 SOLUTION OF VISCOUS-FLOW PROBLEMS 6.1 Introduction T HE previous chapter contained derivations of the relationships for the con- servation of mass and momentum—the equations of motion—in rectangular, cylindrical, and spherical coordinates. All the experimental evidence indicates that these ...
1.AN ALGEBRAICALLY EXPLICIT ANALYTICAL SOLUTION OF UNSTEADY 1D THERMOACOUSTIC PERFECT GAS FLOW一维完全气体热声流方程的代数显式解析解(Ⅱ) 2.Explicit Traveling Wave Solutions of Boussinesq EquationsBoussinesq方程组的显式行波解 3.The client end parsed the XML data stream via style sheet and shown the ...
The 'Existence of Solution' refers to the property of a mathematical equation where at least one solution can be found within a given set of conditions. AI generated definition based on: Studies in Mathematics and Its Applications, 1977
Sedghi-Asl, M., Rahimi, H., Salehi, R.: Non-Darcy flow of water through a packed column test. Transp. Porous Media101(2), 215–227 (2014b) ArticleGoogle Scholar Sedghi-Asl, M., Rahimi, H.: Adoption of Manning’s equation to 1D non-Darcy flow problems. J. Hydraul. Res.49(6)...
The study of the heat equation with integral boundary conditions goes back to Cannon [5]; the existence and properties of the solution are investigated in [15, 17]. See also [11] and references therein. Another example of application, this time to system identification, is found in Bellman ...
HBSS is used when the cells are incubated in a humidified chamber at 37 °C in the absence of CO2 ; otherwise EBSS is used. The reason is that EBSS, unlike HBSS, contains bicarbonate, and the pH of the medium is governed by the Henderson–Hasselbalch equation: pH = pKa + log[HCO3−...
Two numerical techniques based on the finite difference and collocation methods are presented for the solution of nonlinear Klein–Gordon equation. The operational matrix of derivative for the cubic B-spline scaling functions is presented and is utilized to reduce the solution of nonlinear Klein–Gordon...