Solving anisotropic elliptic and parabolic equations by a meshless method: simulation of the electrical conductivity of a tissue

DOI10.1080/00207160.2012.695353zbMath1255.65159OpenAlexW2093360551MaRDI QIDQ4903478

Juan José Benito, Francisco Ureña, Francisco Vicente, Maria Lucia Gavete, Luis Gavete

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.695353

zbMATH Keywords

simulationgeneralized finite differenceanisotropictissue

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mathematical biology in general (92B99)

Related Items (2)

Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation ⋮ Generalized finite differences for solving 3D elliptic and parabolic equations

Cites Work

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• Influence of several factors in the generalized finite difference method
• An \(h\)-adaptive method in the generalized finite differences
• Improvements of generalized finite difference method and comparison with other meshless method
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• A generalized finite difference method for modeling cardiac electrical activation on arbitrary, irregular computational meshes
• An interpolation method for an irregular net of nodes
• The finite difference method at arbitrary irregular grids and its application in applied mechanics

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