one-dimensional heat equation
Solving one dimensional heat equation and groundwater flow modeling using finite difference method
... This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve ...
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15. On a $q$-analogue of the one-dimensional heat equation
... the heat equation arises as a modeling task in heat transfer and a variety of engineering, scientific, and financial ...the heat equation is developed by ...the heat polynomials ...
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16. The one dimensional heat equation as a first-order system:formal solutions by means of the Laplace transform
... Abstract. In this paper an extended heat equation problem as a linear first- order system of partial differential equations is considered. The classical prob- lems in a strip S are assigned to our problems. ...
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Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
... Heat equation is part of partial differential equations where it supposes to be linear or non-linear ...of heat or variation in temperature in a given region over time. The heat ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... is one of the well-known second order parabolic linear partial differential equation [1, 3, ...The heat equation is a very important equation in physics and ...that heat ...
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An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
... The organization of this article is as follow. We describe radial basis functions and their properties in Section 2. In Section 3, the use of this basis is discussed for solving one-dimensional heat ...
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Invariant Solutions of Two Dimensional Heat Equation
... Numerous studies have been devoted to finding symmetry groups of differen- tial equations and their applications for research. The work [5] has developed a computational method that explicitly defines the full symmetry ...
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Simultaneous determination of time-dependent coefficients in the heat equation
... the one-dimensional heat equation from Cauchy boundary ...in one new case where they were not previously provided, are rigorously ...in heat transfer and porous ...
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Approximate Solution of One dimensional Heat Conduction Problem
... paper, one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions is presented and a Homotopy Perturbation Method is utilized for solving the ...
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Application of smoothed particle hydrodynamics method in two-dimensional heat equation
... dimensions. One of the key ideas of SPH is to calculate pressure gradient forces by kernel estimation, directly from the particle positions rather than by finite differencing on a grid, as in older particle ...
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An initial-boundary value problem for the one-dimensional non-classical heat equation in a slab
... the heat source F depends on the temperature on the fixed face x = 0 when a heat flux boundary condition is imposed on x = 0, and we obtain the existence of a solution through a system of three second kind ...
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ME-TE-Thermal engineering
... and heat transfer – continuity equation, momentum equation, energy equation, particular laws; Non-dimensional form of equations; Averaged equations for turbulent flows; Solution of a ...
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Difference -Analytical Method Of The One-Dimensional Convection-Diffusion Equation
... Convection-diffusion problems are base at modelling of problems of hydrodynamics and heat-mass transfer [2]. The basic attention at a numerical solution is given to problems of approximation of convective terms ...
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The Analytical Objective Hysteresis Model (AnOHM v1.0): methodology to determine bulk storage heat flux coefficients
... In this paper, the solutions of the one-dimensional advection–diffusion equation of coupled heat and liquid wa- ter transport (Gao et al., 2003, 2008) are employed with the SEB (Eq. 1) to ...
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A space-time parallel solver for the three-dimensional heat equation
... For solving the linear systems arising in each step of the implicit-explicit SDC scheme and for inverting the weighting matrix to compute the FAS correction, a parallel multigrid method (PMG) is used. Multigrid methods ...
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Implicit Euler time discretization and FDM with Newton method in nonlinear heat transfer modeling
... considers one-dimensional heat transfer in a media with temperature-dependent thermal ...the one-dimensional unsteady heat conduction equation with certain initial and ...
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Effect of Laser Heat Source on One Dimensional Generalized Thermoelasticity
... the heat conduction equation for uncoupled thermoelasticity appears to be unrealistic, since due to the mechanical loading of an elastic body, the strain so produced causes variation in the temperature ...
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On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method
... wave equation, one dimensional heat flow, two dimensional heat flow, which in steady state becomes the two dimensional Laplace’s equation, Poisson’s ...
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Increased Energy Absorption into W due to the Metal Deposited Layer from an ELM-like Pulsed Plasma
... transient heat load such as ELMs. We investigated the heat load on aluminum-coated tungsten by comparing the measured back surface temperature and calculation results of the one-dimensional ...
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A new approach for one dimensional sine Gordon equation
... nonlinear one-dimensional sine-Gordon (SG) equation came into sight in the dif- ferential geometry and attracted a lot of attention because of the collisional behaviors of solitons that arise from ...
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