Results 11 to 20 of about 287 (213)

Stabilization of explicit methods for convection diffusion equations by discrete mollification

Computers and Mathematics With Applications, 2008
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CARLOS D Acosta, CARLOS E Mejia
exaly   +3 more sources

The Mollification Regularization Method with Truncated Kernels for Solving the Inverse Time-Fractional Schrödinger Problem

Fractal and Fractional
This paper studies an inverse problem associated with the time-fractional Schrödinger equation in a field-free potential. To address the severe ill-posedness of the problem, a mollification regularization method with truncated kernels is employed to ...
Huilin Xu, Fanli Xu, Duanmei Zhou, Rong Zhang   +3 more
doaj   +2 more sources

A General Mollification Regularization Method to Solve a Cauchy Problem for the Multi-Dimensional Modified Helmholtz Equation

Symmetry
This paper considers a Cauchy problem for the multi-dimensional modified Helmholtz equation with inhomogeneous Dirichlet and Neumann data. The Cauchy problem is severely ill-posed, and a general mollification method is introduced to solve the problem. Both the a priori and a posteriori choice strategies of the regularization parameter are proposed, and
Huilin Xu, Duanmei Zhou
exaly   +2 more sources

Identifying a Space-Dependent Source Term and the Initial Value in a Time Fractional Diffusion-Wave Equation

Mathematics, 2023
This paper is focused on the inverse problem of identifying the space-dependent source function and initial value of the time fractional nonhomogeneous diffusion-wave equation from noisy final time measured data in a multi-dimensional case.
Xianli Lv, Xiufang Feng
doaj   +1 more source

Numerical Method for a Cauchy Problem for Multi-Dimensional Laplace Equation with Bilateral Exponential Kernel

Mathematics, 2023
This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
doaj   +1 more source

Proportional factors estimation in an IHCP [PDF]

Journal of Hyperstructures, 2014
In this paper, a numerical scheme is developed based on mollification method and space marching scheme for solving an inverse heat conduction problem. The proposed inverse problem contains the estimation of two unknown functions at the boundaries named ...
Morteza Garshasbi, Hatef Dastour
doaj   +1 more source

Numerical solution of a time-fractional inverse source problem [PDF]

Journal of Hyperstructures, 2018
In this paper, an inverse problem of determining an unknown source term in a time-fractional diffusion equation is investigated. This inverse problem is severely ill-posed.
Afshin Babaei, Seddighe Banihashemi
doaj   +1 more source

Recovery of coefficients of a heat equation by Ritz collocation method

Kuwait Journal of Science, 2023
In this work, we discuss a one dimensional inverse problem for the heat equation where the unknown functions are solely time-dependent lower order coefficient and multiplicative source term. We use as data two integral overdetermination conditions along
Prof.Kamal Rashedi
doaj   +1 more source

A Numerical Approximation Method for the Inverse Problem of the Three-Dimensional Laplace Equation

Mathematics, 2019
In this article, an inverse problem with regards to the Laplace equation with non-homogeneous Neumann boundary conditions in a three-dimensional case is investigated.
Shangqin He, Xiufang Feng
doaj   +1 more source

A Regularization Method to Solve a Cauchy Problem for the Two-Dimensional Modified Helmholtz Equation

Mathematics, 2019
In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
doaj   +1 more source