An inverse problem of dcis model based on nonlocal and terminal data
Open Access
- 1 January 2019
- journal article
- research article
- Published by al-Farabi Kazakh National University in International Journal of Mathematics and Physics
- Vol. 10 (2), 21-27
- https://doi.org/10.26577/ijmph-2019-i2-4
Abstract
As the earliest period of breast cancer, the ductal carcinoma in situ (DCIS) model has wide applications in the diagnosis of breast cancer and has been attracted much attention in recent years. In this paper, a novel PSO method is developed for solving an inverse problem of the DCIS model from nonlocal and terminal data. The numerical simulations show that the proposed method is efficient, accurate, robust against noise and fast. Moreover, it is better than the optimization method in the literature [8]. As the earliest period of breast cancer, the ductal carcinoma in situ (DCIS) model has wide applications in the diagnosis of breast cancer and has been attracted much attention in recent years. In this paper, a novel PSO method is developed for solving an inverse problem of the DCIS model from nonlocal and terminal data. The numerical simulations show that the proposed method is efficient, accurate, robust against noise and fast. Moreover, it is better than the optimization method in the literature [8].Keywords
This publication has 9 references indexed in Scilit:
- Numerical algorithms for a free boundary problem model of DCIS and a related inverse problemApplicable Analysis, 2018
- A simple method for detecting scatterers in a stratified ocean waveguideComputers & Mathematics with Applications, 2018
- A multilevel sampling method for detecting sources in a stratified ocean waveguideJournal of Computational and Applied Mathematics, 2017
- Direct and inverse problem for the parabolic equation with initial value and time-dependent boundariesApplicable Analysis, 2015
- A new inverse problem for the determination of textile fabrics thicknessInverse Problems in Science and Engineering, 2014
- Inverse problems of textile material design based on clothing heat-moisture comfortApplicable Analysis, 2014
- A multilevel sampling algorithm for locating inhomogeneous mediaInverse Problems, 2013
- Particle Swarm Optimization and IntelligencePublished by IGI Global ,2010
- Some inverse problems raised from a mathematical model of ductal carcinoma in situMathematical and Computer Modelling, 2008