Estimation of Tumor Characteristics in a Skin Tissue by a Meshless Collocation Solver

DOI10.1142/S0219876220410091OpenAlexW3008110219MaRDI QIDQ4987317

Po-Wei Li, Wen-Hui Chu, Min Yang, Chia-Ming Fan, Zhuo-Jia Fu

Publication date: 3 May 2021

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876220410091

zbMATH Keywords

genetic algorithmgeneralized finite difference methodLevenberg-Marquardt algorithmmeshless collocationPennes bioheat model

Mathematics Subject Classification ID

Numerical analysis (65-XX) Classical thermodynamics, heat transfer (80-XX)

Related Items (1)

A machine learning approach coupled with polar coordinate based localized collocation method for inner surface identification in heat conduction problem

Cites Work

• On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach
• Solution of fractional bioheat equations by finite difference method and HPM
• A moving Kriging interpolation-based element-free Galerkin method for structural dynamic analysis
• Optimal constant shape parameter for multiquadric based RBF-FD method
• An efficient meshfree method for vibration analysis of laminated composite plates
• An application of the finite volume method to the bio-heat-transfer-equation in premature infants
• Improved binary PSO for feature selection using gene expression data
• Analytical characterization of heat transport through biological media incorporating hyperthermia treatment
• Influence of several factors in the generalized finite difference method
• Boundary information based diagnostics on the thermal states of biological bodies
• Generalized finite difference method for two-dimensional shallow water equations
• The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation
• An inverse geometry problem for the localisation of skin tumours by thermal analysis
• A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon
• A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
• An RBF-MFS model for analysing thermal behaviour of skin tissues
• Generalized finite difference method for solving two-dimensional non-linear obstacle problems
• A GENERALIZED AND EFFICIENT METHOD FOR FINITE COVER GENERATION IN THE NUMERICAL MANIFOLD METHOD
• Singular Boundary Method for Various Exterior Wave Applications
• Dynamical Study of Fractional Order Tumor Model
• A LINEARLY CONFORMING RADIAL POINT INTERPOLATION METHOD FOR SOLID MECHANICS PROBLEMS
• Modeling and simulation of bioheat transfer in the human eye using the 3D alpha finite element method (αFEM)
• Identification of thermal conductivity for orthotropic FGMs by DT-DRBEM and L-M algorithm
• Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method
• Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
• A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems
• MESHFREE METHODS AND THEIR COMPARISONS
• Numerical Solution of Bioheat Transfer Problems with Transient Blood Temperature

This page was built for publication: Estimation of Tumor Characteristics in a Skin Tissue by a Meshless Collocation Solver