Results 11 to 20 of about 255 (138)
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
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
Mollification formulas and implicit smoothing [PDF]
Advances in Computational Mathematics, 2006 The authors develop some mollification formulas involving convolutions between popular radial basis function \(f\), and suitable mollifiers \(k\). Polyharmonic splines, scaled Bessel kernels and compactly supported basic functions are considered. An application which motivated the development of the formulas is a technique called implicit smoothing ...
Richard K. Beatson, H.-Q. Bui
openaire +2 more sources
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
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
A Circumstantial Review on Ride-sharing Profile in Dhaka City [PDF]
Computational Engineering and Physical Modeling, 2020 The ride-sharing profile has gotten a decision to the horde of Dhaka City in the transportation field because of its broadened habits in transport offices.
Hasib Tusher, Arif Hasnat, Faysal Rahman
doaj +1 more source
The weighted reverse Poincaré-type estimates for the difference of two convex vectors
Journal of Inequalities and Applications, 2016 In this paper we develop Caccioppoli-type estimates for arbitrary convex vectors and the vectors having both convex and concave arguments. To do this, we first develop these estimates for smooth convex vectors and then, through mollification, extend the ...
Muhammad Shoaib Saleem +4 more
doaj +1 more source
Mathematics, 2019 We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this
Le Dinh Long +3 more
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
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