Heat equation
Determination of conductivity in a heat equation
... Abstract. We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regular- ization approach to define and ...
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Implicit methods for the first derivative of the solution to heat equation
... dimensional heat equation in Example 1 and in Example 2 are chosen as exam- ples for Problem 1(i) and Problem 1(ii), respectively, and the exact first derivatives of their solutions with respect to x are ...
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Grow-up rate of solutions for the heat equation with a sublinear source
... In this paper, we investigate the grow-up rate of solutions for the heat equation with a sublinear source. We find that if the initial value grows fast enough, then it plays a major role in the growing up of ...
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15. On a $q$-analogue of the one-dimensional heat equation
... some results related to the series expansion of solutions of q-heat equation. Finally, we discuss from an analytic and a graphic point of view how these q-difference operators can be used to solve ...
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On a kind of time optimal control problem of the heat equation
... In this paper, we consider a kind of time-varying bang–bang property of time optimal boundary controls for the heat equation. The time-varying bang–bang property in the interior domain has been considered ...
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Determination of a source in the heat equation from integral observations
... the heat equation from integral observations is ...The heat source is sought in the form of a sum of two space- and time- dependent unknown components in order to ensure uniqueness of ...
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Determination of an additive time-and space-dependent coefficient in the heat equation
... This paper has presented the determination of an additive time and space-dependent per- fusion coefficient from data measurements in the one-dimensional parabolic heat equation. The direct solver based on a ...
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Simultaneous determination of time-dependent coefficients in the heat equation
... This paper has presented a numerical approach to identify simultaneously two time- dependent coefficients in the one-dimensional parabolic heat equation. The three resulting inverse problems have been ...
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A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation
... time-dependent heat source and the temperature for the heat equation with Dirichlet boundary conditions and an integral over-determination ...the equation as a base of the tau method which is ...
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Visual Analysis of the Exact Solution of a Heat Equation
... Solution of the heat equation is analysed by using the images. Images provide same insights to the solution as provided by the traditional mathematical approach. Sampling rate and interpolation methods ...
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Shape-from-shading using the heat equation
... the heat equation to smooth the field of surface normals and the recovery of surface height using a low-di- mensional ...state heat equation subject to the hard constraint that Lambert’s law ...
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Discrete Heat Equation Model with Shift Values
... discrete heat equation in this paper. The diffusion of heat is studied by the application of Newton’s law of cooling in dimensions up to three and several solutions are postulated for the ...
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A Review of Wavelets Solution to Stochastic Heat Equation with Random Inputs
... stochastic heat equation with random source term is solved in Section 4, while a detail analysis of the full stochastic heat equation with all types of random inputs is solved and analyzed in ...
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Cubic B-spline Collocation Method for One-Dimensional Heat Equation
... differential equation [1, 3, 4]. The heat equation is a very important equation in physics and ...that heat equation describes the distribution of heat (or variation in ...
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On a semilinear mixed fractional heat equation driven by fractional Brownian sheet
... approach nonlinear conservation laws (see, for example, Sobczyk [] and Droniou and Imbert []). Therefore, it seems interesting to handle the mixed fractional heat equations driven by fractional Brownian sheet. ...
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Totally discrete solution of the phenomenon of quenching for a localized heat equation
... Halima. Nachid,Full Discretizations Of Solution For A Semilinear Heat Equation With Neumann Boundary Condition. Research and Communications in Mathematics and Mathematical Sciences,1 (2012), 53-85. Halima. ...
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A space-time parallel solver for the three-dimensional heat equation
... three-dimensional heat equation based on the combination of PFASST with a mesh-based discretization of the ...the heat equation constitutes a building block for tackling more complex ...
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Two new regularization methods for solving sideways heat equation
... To the authors’ knowledge, there are few papers for choosing the regularization parameter by a posteriori rule for the sideways heat equation. In this section, a new regularization method of iteration type ...
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Lie Algebra of Infinitesimal Generators of the Symmetry Group of the Heat Equation
... F x t pr u x = (2) The procedure for finding the infinitesimal generators of the symmetry group of differential equations is described in the paper [1]. This procedure uses the prolongation of the action of the symmetry ...
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Green’s Function Solution for the Dual Phase Lag Heat Equation
... conduction equation and a general form of the Green’s function solution method for finite bodies is introduced by Haji-Sheikh and Beck ...conduction equation using the explicit Green’s approach ...
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