Investigation of heat transport equation at the microscale via interpolating element-free Galerkin method
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computer Science Applications,General Engineering,Modelling and Simulation,Software
Link
https://link.springer.com/content/pdf/10.1007/s00366-021-01425-4.pdf
Reference57 articles.
1. Abbaszadeh M, Dehghan M (2020) A finite-difference procedure to solve weakly singular integro partial differential equation with space-time fractional derivatives. Eng Comput. https://doi.org/10.1007/s00366-020-00936-w
2. Abbaszadeh M, Dehghan M (2019) Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation. Eng Comput. https://doi.org/10.1007/s00366-019-00861-7
3. Abbaszadeh M, Dehghan M (2019) The interpolating element-free Galerkin method for solving Korteweg–de Vries-Rosenau-regularized long-wave equation with error analysis. Nonlinear Dyn 96:1345–1365
4. Abbaszadeh M, Dehghan M (2020) Meshless local numerical procedure based on interpolating moving least squares approximation and exponential time differencing fourth-order Runge-Kutta (ETDRK4) for solving stochastic parabolic interface problems. Eng Comput In press . https://doi.org/10.1007/s00366-020-01057-0
5. Abbaszadeh M, Dehghan M, Khodadadian A, Heitzinger C (2021) Error analysis of interpolating element free Galerkin method to solve non-linear extended Fisher–Kolmogorov equation. Comput Math Appl 80:247–262
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1. A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems;Advances in Applied Mathematics and Mechanics;2024-06
2. A stable numerical scheme for solving heat transport equations on the microscopic and cracked domains;International Communications in Heat and Mass Transfer;2024-03
3. Numerical treatment of microscale heat transfer processes arising in thin films of metals;International Communications in Heat and Mass Transfer;2022-03
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