An approximate analytic solution of the heat conduction equation at nanoscale
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Publication:455071
DOI10.1016/j.physleta.2009.11.037zbMath1248.35091OpenAlexW2010583169MaRDI QIDQ455071
J. Herrera, D. Rodríguez-Gómez
Publication date: 4 October 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.11.037
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Heat equation (35K05)
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Cites Work
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- Analytic treatment of linear and nonlinear Schrödinger equations: a study with homotopy-perturbation and Adomian decomposition methods
- Comparing numerical methods for the solutions of two-dimensional diffusion with an integral condition
- A mixed collocation-finite difference method for 3D microscopic heat transport problems
- Analytic studies and numerical simulations of the generalized Boussinesq equation
- Solving frontier problems of physics: the decomposition method
- Convergence of Adomian's method applied to differential equations
- Convergence of Adomian's method applied to nonlinear equations
- An approximate analytic method for solving 1D dual-phase-lagging heat transport equations
- An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film
- The solution of coupled Burgers' equations using Adomian-Padé technique
- A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness
- A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
- Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film
- Unconditionally stable finite difference scheme and iterative solution fo 2D microscale heat transport equation
- A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale
- Iterative solution and finite difference approximations to 3D microscale heat transport equation
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