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...
Analytical Methods for Determination of Heat Transfer Fields from Temperature Sensitive Paint Measurements in Hypersonic Tunnels This problem is generally considered as an inverse heat transfer problem. The exact analytical solution of the 1D unsteady heat conduction for a polymer ... T Liu,Z Cai,J ...
In this paper we suggest the use of complete families of solutions of the heat equation for the numerical solution of the inverse Stefan problem. Our appro... R Reemtsen,Andreas Kirsch - 《Numerische Mathematik》 被引量: 36发表: 1984年 Numerical solution of the one phase 1D fractional Stefan...
Equation (1.36) is also true for any v which is a linear combination of wi,…, wm,…. Since these combinations are dense in V˜ a continuity argument finally shows that (1.36) holds for each v∈V˜ and that u is a solution of (1.25). Proof of Lemma 1.4. This is an easy ...
In fact, crystals being grown from solution dissipate their crystallization heat only through the solution, whose temperature must therefore always be lower than that of the growing interface. This means that constitutional supercooling is always present and its destabilizing effects are avoided only ...
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)...
Efficient Numerical Evaluation of Exact Solution for 1D, 2D and 3D Infinite Cylindrical Heat Conduction Problem The subject of this thesis is improving the computer evaluation time for exact solutions for infinite and semi-infinite bodies in the cylindrical coordinate system. The motivating applications ...
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 ...
The differential Sylvester equation and its symmetric version, the differential Lyapunov equation, appear in different fields of applied mathematics like control theory, system theory, and model order reduction. The few available straight-forward numerical approaches when applied to large-scale systems come...
Control of 1D parabolic PDEs with Volterra nonlinearities, Part II: Analysis Nonlinear controlFeedback linearizationPartial differential equationsLyapunov functionBoundary conditionsBoundary control of nonlinear parabolic PDEs is an open problem... R Vazquez,M Krstic - 《Automatica》 被引量: 150发表: 2008...