Results 101 to 110 of about 202 (148)

A mollification regularization method for identifying the time-dependent heat source problem

Journal of Engineering Mathematics, 2016
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Yang, Fan, Fu, Chu-Li, Li, Xiao-Xiao
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A mollification method for a Cauchy problem for the Laplace equation

Applied Mathematics and Computation, 2011
The authors consider the Cauchy problem for the Laplace equation in an infinite strip \(u_{xx} + u_{yy} =0, x \in (0,1), y \in \mathbb{R}, u(0,y) = \varphi(y), u_x(0,y) = 0, y \in \mathbb{R}\) with noisy Cauchy data \(\varphi^\delta \in L^2(\mathbb{R})\).
Li, Zhenping, Fu, Chuli
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Some Applications of the Mollification Method

2001
The Mollification Method is a filtering procedure that is appropriate for the regularization of a variety of ill-posed problems. In this review, we briefly introduce the method, including its main feature, which is its ability to automatically select regularization parameters.
C. E. Mejía, D. A. Murio, S. Zhan
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A New Mollification Method for Numerical Differentiation of 2D Periodic Functions

2009 International Joint Conference on Computational Sciences and Optimization, 2009
In this paper, we present a new method for numerical differentiation of bivariate periodic functions when a set of noisy data is given. TSVD is chosen as the needed regularization technique. It turns out the new method coincides with some type of truncated Fourier series approach. A numerical example is also given to show the efficiency of the method.
Zhenyu Zhao, Zehong Meng, Li Xu, Junfeng Liu   +3 more
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A mollification regularization method for unknown source in time-fractional diffusion equation

International Journal of Computer Mathematics, 2014
In the present paper, we consider an inverse source problem for a fractional diffusion equation. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We give the mollification regularization method to solve this problem.
Fan Yang, Chu-Li Fu, Xiao-Xiao Li
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Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

Computers & Mathematics with Applications, 2022
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Zhang, Wen, Ding, Zirong, Wang, Zewen, Ruan, Zhousheng   +3 more
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The mollification method based on a modified operator to the ill-posed problem for 3D Helmholtz equation with mixed boundary

Applied Numerical Mathematics, 2021
In this work, a Cauchy problem for the 3D Helmholtz equation with mixed boundary is studied. The mollification method based on modified bivariate de la Vallée Poussin operator to solve the stated Cauchy problem is used. It is verified that the considered method is stable. The paper is organized as follows. Section 1 is an introduction.
He, Shangqin, Di, Congna, Yang, Li
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The Smoothing of Temperature Data Using the Mollification Method in Heat Flux Estimating

Numerical Heat Transfer, Part A: Applications, 2010
This article proposes a procedure to mollify the temperature data prior to utilizing the inverse heat conduction problem methods for unknown heat flux estimation. The measured transient temperature data may be obtained from locations inside the body or on its inactive boundaries.
F. Kowsary, S. D. Farahani
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Regularization of a nonlinear inverse problem by discrete mollification method

2021
Summary: In this article, the application of discrete mollification as a regularization procedure for solving a nonlinear inverse problem in one dimensional space is considered. Illposedness is identified as one of the main characteristics of inverse problems. It is clear that if we have a noisy data, the inverse problem becomes unstable.
Bodaghi, Soheila, Zakeri, Ali, Amiraslani, Amir   +2 more
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Determining an Unknown Source in the Heat Equation by a Mollification Regularization Method

2010 International Conference on Computational Intelligence and Software Engineering, 2010
The problem of identifying an unknown source in the heat equation is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we proposed a regularization strategy-mollification method to analysis the stability of the problem. Meanwhile, we proposed numerical implement.
Ailin Qian, Yongxin Gui
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