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On the application of the implicit “backward Euler” method for solving the diffusion equation
Atmospheric Environment (1967), 1989Abstract The present paper deals with numerical effects occurring in the application of the implicit (“backward Euler”) method to solve the diffusion equation in the case of a point source (i.e. singular initial data). The numerical over-estimation of the concentration at the source level as well as conditions for an over- or under-estimation of the ...
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Backward Euler method for 2D Sobolev equation with Burgers’ type non-linearity
AIP Conference Proceedings, 2023Sangita Yadav +2 more
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2020
In this study, the solutions of Simplified Magnetohyrodynamics (SMHD) equations by finite element method are examined with linear time relaxation term. Therefore, the differential filter $\kappa(u-\bar{u})$ term is added to SMHD equations for numerical regularization and it is introduced SMHD Linear Time Relaxation Model (SMHDLTRM).
YÜKSEL, Gamze, YAMAN, Mustafa Hicret
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In this study, the solutions of Simplified Magnetohyrodynamics (SMHD) equations by finite element method are examined with linear time relaxation term. Therefore, the differential filter $\kappa(u-\bar{u})$ term is added to SMHD equations for numerical regularization and it is introduced SMHD Linear Time Relaxation Model (SMHDLTRM).
YÜKSEL, Gamze, YAMAN, Mustafa Hicret
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Forward and backward Euler Methods for Reacting Gas Dynamics
2008Ramadane Abderrazak, Bourlioux, Anne
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Vibration analysis of Euler–Bernoulli nanobeams by using finite element method
Applied Mathematical Modelling, 2013Mohamed A Eltaher, Ff Mahmoud
exaly
The truncated Euler–Maruyama method for stochastic differential equations
Journal of Computational and Applied Mathematics, 2015Xuerong Mao
exaly
The partially truncated Euler–Maruyama method and its stability and boundedness
Applied Numerical Mathematics, 2017Qian Guo, Wei Liu, Xuerong Mao
exaly
BACKWARD EULER TYPE METHODS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA
1993VIDAR THOMÉE, NAI-YING ZHANG
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