Results 181 to 190 of about 287 (214)
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International Communications in Heat and Mass Transfer, 2011
Abstract In some inverse problem, the convergence of the inverse algorithm is impossible due to the correlation of the involving parameters. Several different approaches have been used to address this problem. This paper proposes a procedure to smooth the temperature data by wavelet transform and mollification method prior to utilizing the Levenberg ...
Farshad Kowsary
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Abstract In some inverse problem, the convergence of the inverse algorithm is impossible due to the correlation of the involving parameters. Several different approaches have been used to address this problem. This paper proposes a procedure to smooth the temperature data by wavelet transform and mollification method prior to utilizing the Levenberg ...
Farshad Kowsary
exaly +2 more sources
Mathematical Methods in the Applied Sciences
ABSTRACTThis study investigates the solution of an ill‐posed time‐fractional order Schrödinger equation using a mollification regularization technique of the Dirichlet kernel. The Dirichlet regularized solution is obtained through convolution of the Dirichlet kernel with real measured data.
Shangqin He, Lan Yang
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ABSTRACTThis study investigates the solution of an ill‐posed time‐fractional order Schrödinger equation using a mollification regularization technique of the Dirichlet kernel. The Dirichlet regularized solution is obtained through convolution of the Dirichlet kernel with real measured data.
Shangqin He, Lan Yang
exaly +3 more sources
Mollification of Fourier Spectral Methods with Polynomial Kernels
Mathematical Methods in the Applied Sciences, 2023Many attempts have been made in the past to regain the spectral accuracy of the spectral methods, which is lost drastically due to the presence of discontinuity. In this article, an attempt has been made to show that mollification using Legendre and Chebyshev polynomial based kernels improves the convergence rate of the Fourier ...
Megha Puthukkudi +1 more
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A Mollification Method for Backward Time-Fractional Heat Equation
Acta Mathematica Vietnamica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Duc, Nguyen +2 more
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A mollification method for a Cauchy problem for the Helmholtz equation
International Journal of Computer Mathematics, 2017ABSTRACTThe Cauchy problem for the Helmholtz equation is considered. This problem is severely ill-posed, that is, the solution does not depend continuously on the data.
Zhenping Li, C. Xu, M. Lan, Z. Qian
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A mollification regularization method for stable analytic continuation
Mathematics and Computers in Simulation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Liang Deng +3 more
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A Jacobi spectral method for calculating fractional derivative based on mollification regularization
Asymptotic Analysis, 2023In this article, we construct a Jacobi spectral collocation scheme to approximate the Caputo fractional derivative based on Jacobi–Gauss quadrature. The convergence analysis is provided in anisotropic Jacobi-weighted Sobolev spaces. Furthermore, the convergence rate is presented for solving Caputo fractional derivative with noisy data by invoking the ...
Zhang, Wen +3 more
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Some Applications of the Mollification Method
2001The 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, 2009In 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 +3 more
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A mollification regularization method for unknown source in time-fractional diffusion equation
International Journal of Computer Mathematics, 2014In 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 0026, Chu-Li Fu, Xiao-Xiao Li
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