Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials

DOI10.1016/j.camwa.2022.08.026OpenAlexW4293110410MaRDI QIDQ2079759

Shifa Lin, Ji Lin, Jun Lu, Yuhui Zhang, Timon Rabczuk

Publication date: 30 September 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.08.026

zbMATH Keywords

functionally graded materialsbackward substitution methodtransient heat conductionspace-time radial basis function

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical analysis (65-XX) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

Related Items (4)

A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity ⋮ A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems ⋮ MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials ⋮ A weighted-upwind generalized finite difference (WU-GFD) scheme with high-order accuracy for solving convection-dominated problems

Cites Work

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