Results 231 to 240 of about 7,805 (260)

Solving the backward heat conduction problem by homotopy analysis method

Applied Numerical Mathematics, 2018
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Liu, Jijun, Wang, Bingxian
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The truncation method for a two-dimensional nonhomogeneous backward heat problem

Applied Mathematics and Computation, 2010
The backward heat problem with homogeneous Dirichlet condition on the rectangle is considered. The problem is severely ill-posed. Using the truncation method for Fourier series a simple regularized solution is proposed which not only works on a very weak condition on the exact data but also attains, due to the smoothness of the exact solution, explicit
Phan, Thanh Nam, Dang, Duc Trong, Nguyen, Huy Tuan   +2 more
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Different approaches for the solution of a backward heat conduction problem

Inverse Problems in Engineering, 2003
This work presents a comparison of three different techniques to solve the inverse heat conduction problem involving the estimation of the unknown initial condition for a one-dimensional slab, whose solution is obtained through minimization of a known functional form.
Leonardo D. Chiwiacowsky*, Haroldo F. de Campos Velho   +1 more
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An optimal method for fractional heat conduction problem backward in time

Applicable Analysis, 2012
In this article, we consider a fractional order backward heat conduction problem in two-dimensional space which is associated with a deblurring problem. The problem is seriously ill-posed. We propose an optimal regularization method to solve the problem in the presence of noisy data, and obtain the optimal stability error estimation.
X.T. Xiong, J.X. Wang, M. Li
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A modified integral equation method of the semilinear backward heat problem

Applied Mathematics and Computation, 2011
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Tuan, Nguyen Huy, Trong, Dang Duc, Quan, Pham Hoang   +2 more
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A new regularized method for two dimensional nonhomogeneous backward heat problem

Applied Mathematics and Computation, 2009
The two-dimensional backward heat equation \[ u_t= u_{xx}+ u_{yy}+ f(x,y,t),\quad ...
Tuan, Nguyen Huy, Trong, Dang Duc
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Regularized kernel function methods for the backward heat conduction problem

Applied Mathematics Letters
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Hu, J. J., Geng, F. Z., Li, C. N.
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Fourth-Order Compact Difference Scheme for the Backward Heat Conduction Problem

International Journal for Computational Methods in Engineering Science and Mechanics, 2019
AbstractIn this paper, the backward heat conduction problem is solved numerically using the fourth-order compact difference scheme.
Ankita Shukla, Mani Mehra
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Two regularization methods for backward heat problems with new error estimates

Nonlinear Analysis: Real World Applications, 2011
The final value inverse problem for the heat equation is considered, that is the problem to determine the value \(u(x,t)\) such that \[ u_t-u_{xx}=f(x,t) \;\;((x,t) \in (0; \pi) \times (0;T)); \;\;u(0,t)=u(\pi, t)=0; \;\;u(x,T)=g(x) \] from the given function \(g(x)\).
Tuan, Nguyen Huy, Trong, Dang Duc
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The method of fundamental solutions for the backward heat conduction problem

Inverse Problems in Science and Engineering, 2005
In this article a meshless numerical scheme for solving the backward heat conduction problem (BHCP) is proposed. The numerical solution is developed by using the fundamental solution of the heat equation as a basis function. The standard Tikhonov regularization technique and the L-curve method are adopted for solving the resultant ill-conditioned ...
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