NUMERICAL SOLUTIONS FOR 2D UNSTEADY LAPLACE-TYPE PROBLEMS OF ANISOTROPIC FUNCTIONALLY GRADED MATERIALS

DOI10.3846/mma.2022.14463zbMath1489.65133OpenAlexW4224982717MaRDI QIDQ5083711

Mohammad Ivan Azis

Publication date: 20 June 2022

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2022.14463

zbMATH Keywords

Laplace transformboundary element methodvariable coefficientsanisotropic Laplace-type equation

Mathematics Subject Classification ID

Laplace transform (44A10) Overdetermined systems of PDEs with variable coefficients (35N10) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Nonlinear transient heat conduction problems for a class of inhomogeneous anisotropic materials by BEM
• A gradient free integral equation for diffusion-convection equation with variable coefficient and velocity
• Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
• Analytical transformation of volume integral for the time-stepping BEM analysis of 2D transient heat conduction in anisotropic media
• A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
• RIBEM for 2D and 3D nonlinear heat conduction with temperature dependent conductivity
• A novel dual reciprocity boundary element formulation for two-dimensional transient convection-diffusion-reaction problems with variable velocity
• Steady heat conduction analyses using an interpolating element-free Galerkin scaled boundary method
• Three-dimensional transient heat conduction analysis by boundary knot method
• Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution
• Integral equation formulation of an unsteady diffusion-convection equation with variable coefficient and velocity
• Comparison of different numerical Laplace inversion methods for engineering applications
• Integral formulation of a diffusive-convective transport equation for reacting flows
• Three-dimensional transient heat conduction analysis by Laplace transformation and multiple reciprocity boundary face method
• The simple boundary element method for transient heat conduction in functionally graded materials

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