Taylor meshless method for solving non-linear partial differential equations

DOI10.1016/j.jcp.2017.07.034zbMath1380.65393OpenAlexW2737217171MaRDI QIDQ1694629

Michel Potier-Ferry, Yao Koutsawa, Jie Yang, Heng Hu

Publication date: 6 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.07.034

zbMATH Keywords

Newton methodTaylor seriesmeshlessmultivariate algorithmic differentiation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical differentiation (65D25)

Related Items

Solving the stationary Navier-Stokes equations by using Taylor meshless method, Extending the Meshless Local Petrov–Galerkin Method to Solve Stabilized Turbulent Fluid Flow Problems, A dimensionless numerical mesh-free model for the compressible fluid flows, Changing variables in Taylor series with applications to PDEs, Least‐square collocation and Lagrange multipliers forTaylor meshless method

Uses Software

• UMFPACK
• FreeFem++
• LieMath

Cites Work

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