Results 191 to 200 of about 287 (214)

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
openaire   +1 more source

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

Journal of Engineering Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Fan, Fu, Chu-Li, Li, Xiao-Xiao
openaire   +2 more sources

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
openaire   +1 more source

An a posteriori mollification method for the heat equation backward in time

Journal of Inverse and Ill-posed Problems, 2016
Abstract The heat equation backward in time u t
openaire   +1 more source

A mollification method with Dirichlet kernel to solve Cauchy problem for two-dimensional Helmholtz equation

International Journal of Wavelets, Multiresolution and Information Processing, 2019
In this paper, the ill-posed Cauchy problem for the Helmholtz equation is investigated in a strip domain. To obtain stable numerical solution, a mollification regularization method with Dirichlet kernel is proposed. Error estimate between the exact solution and its approximation is given.
Shangqin He, Xiufang Feng
openaire   +1 more source

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
openaire   +1 more source

An Adaptive and Fully Automated Baseline Correction Method for Raman Spectroscopy Based on Morphological Operations and Mollification

Applied Spectroscopy, 2018
Baseline drift is a commonly identified and severe problem in Raman spectra, especially for biological samples. The main cause of baseline drift in Raman spectroscopy is fluorescence generated within the sample. If left untreated, it will affect the following qualitative or quantitative analysis.
Hao Chen, Weiliang Xu, Neil G.R. Broderick   +2 more
openaire   +2 more sources

A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation

International Journal of Computer Mathematics, 2019
In this paper, two Cauchy problems of Helmholtz equation in a three-dimensional case are considered. To address these problems, a mollification method with bivariate Dirichlet kernel is proposed.
Shangqin He, Xiufang Feng
openaire   +1 more source

A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem

Inverse Problems in Science and Engineering, 2020
This paper concerns a one-phase inverse Stefan problem in one-dimensional space. The problem is ill-posed in the sense that the solution does not depend continuously on the data.
Soheila Bodaghi, Ali Zakeri, Amir Amiraslani   +2 more
openaire   +1 more source

Numerical analytic continuation by a mollification method based on Hermite function expansion

Inverse Problems, 2012
The numerical analytic continuation of a function f(z) = f(x + iy) on a strip is discussed in this paper. Data are only given approximately on the real axis. A mollification method based on expanded Hermite functions has been introduced to deal with the ill-posedness of the problem.
openaire   +1 more source