Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method
Sign Up to like & getrecommendations! Published in 2021 at "Engineering with Computers"
DOI: 10.1007/s00366-021-01489-2
Abstract: In this paper, homogenization functions are first proposed to address two-dimensional (2D) and three-dimensional (3D) inverse source problems of nonlinear time-fractional wave equation (ISPs-NTFWE). Homogenization functions for 2D and 3D problems can be derived based… read more here.
Keywords: problems nonlinear; method; inverse source; source problems ... See more keywords
Inverse source problems in transport equations with external forces
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DOI: 10.1016/j.jde.2021.09.011
Abstract: This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for generic absorption and scattering coefficients. In particular,… read more here.
Keywords: equations external; source; inverse source; problems transport ... See more keywords
Inverse source problems for a space–time fractional differential equation
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DOI: 10.1080/17415977.2019.1597079
Abstract: ABSTRACT We considered two inverse source problems for a space–time fractional differential equation. Firstly recovery of a space dependent source term is studied, secondly determination of a time dependent source term is considered. A bi-orthogonal… read more here.
Keywords: problems space; source; time; inverse source ... See more keywords
A Sampling Framework for Solving Physics-Driven Inverse Source Problems
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DOI: 10.1109/tsp.2017.2742983
Abstract: Partial differential equations are central to describing many physical phenomena. In many applications, these phenomena are observed through a sensor network, with the aim of inferring their underlying properties. Leveraging from certain results in sampling… read more here.
Keywords: inverse source; source problems; framework solving; physics ... See more keywords