Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01236-7
Abstract: In this paper, a mixed finite element method is applied in spatial directions while keeping time variable continuous to a class of time-fractional diffusion problems with time-dependent coefficients on a bounded convex polygonal domain. Based… read more here.
Keywords: problems time; fractional diffusion; time fractional; time ... See more keywords
Layer resolving fitted mesh method for parabolic convection-diffusion problems with a variable diffusion
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01562-5
Abstract: In this paper, we constructed a fitted mesh finite difference method for solving a class of time-dependent singularly perturbed turning point convection-diffusion problems whose solution exhibits an interior layer. The diffusion coefficient in the underlying… read more here.
Keywords: diffusion problems; convection diffusion; method; diffusion ... See more keywords
A non-iterative local remeshing approach for simulating moving boundary transient diffusion problems
Sign Up to like & getrecommendations! Published in 2018 at "Finite Elements in Analysis and Design"
DOI: 10.1016/j.finel.2017.11.001
Abstract: Abstract A computational framework relying on a non-iterative mesh generation algorithm is introduced for modeling moving boundary transient diffusion problems, with a special focus on its application for simulating corrosion phenomena. In this approach, the… read more here.
Keywords: boundary transient; non iterative; diffusion problems; transient diffusion ... See more keywords
A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Computational and Theoretical Transport"
DOI: 10.1080/23324309.2016.1239640
Abstract: ABSTRACT We propose a new family of cell-centered finite volume schemes with compact stencils for anisotropic diffusion problems on arbitrary polygonal grids. The derivation of the schemes is based on a general framework through a… read more here.
Keywords: diffusion; cell; linearity preserving; family ... See more keywords
Electrochemical Kinetics of Diffusion Problems with a Moving Phase Boundary
Sign Up to like & getrecommendations! Published in 2018 at "Russian Metallurgy (Metally)"
DOI: 10.1134/s0036029518020039
Abstract: The growth and dissolution of nuclei and a deposit film on a solid electrode are considered. The diffusion problems of the growth and dissolution of hemispherical nuclei and a thin deposit film are solved. Equations… read more here.
Keywords: phase; electrochemical kinetics; diffusion problems; film ... See more keywords
A Hybrid Variational Multiscale Element-Free Galerkin Method for Convection-Diffusion Problems
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DOI: 10.1142/s1758825119500637
Abstract: By coupling the dimension splitting method (DSM) and the variational multiscale element-free Galerkin (VMEFG) method, a hybrid variational multiscale element-free Galerkin (HVMEFG) method is developed for the two-dimensional convection-diffusion problems. In the HVMEFG method, the… read more here.
Keywords: convection diffusion; diffusion problems; variational multiscale; method ... See more keywords
A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/8379609
Abstract: Convection-dominated diffusion problems usually develop multiscaled solutions and adaptive mesh is popular to approach high resolution numerical solutions. Most adaptive mesh methods involve complex adaptive operations that not only increase algorithmic complexity but also may… read more here.
Keywords: dominated diffusion; convection dominated; diffusion problems; method ... See more keywords
Numerical solution of multi-dimensional time-fractional diffusion problems using an integral approach
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DOI: 10.1371/journal.pone.0304395
Abstract: This paper presents a significant scheme to drive the numerical solution of multi-dimensional diffusion problems where the fractional derivatives are taken in Caputo sense. The Mohand homotopy integral transform scheme (MHITS) is the composition of… read more here.
Keywords: diffusion problems; numerical solution; solution; multi dimensional ... See more keywords
Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems
Sign Up to like & getrecommendations! Published in 2017 at "Applications of Mathematics"
DOI: 10.21136/am.2017.0385-15
Abstract: Numerical solution of fractional order diffusion problems with homogeneous Dirichlet boundary conditions is investigated on a square domain. An appropriate extension is applied to have a well-posed problem on R2 and the solution on the… read more here.
Keywords: order diffusion; order; fractional order; method ... See more keywords
Combination of Integral Transforms and Linear Optimization for Source Reconstruction in Heat and Mass Diffusion Problems
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DOI: 10.3390/fluids10040106
Abstract: This paper presents a novel methodology for estimating space- and time-dependent source terms in heat and mass diffusion problems. The approach combines classical integral transform techniques (CITTs) with the least squares optimization method, enabling an… read more here.
Keywords: heat mass; diffusion problems; linear optimization; source ... See more keywords
Efficient Numerical Methods for Reaction–Diffusion Problems Governed by Singularly Perturbed Fredholm Integro-Differential Equations
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DOI: 10.3390/math13091511
Abstract: A set of singularly perturbed systems comprising Fredholm integro-differential equations associated with reaction–diffusion problems is considered. To approximate solutions to these systems, a second-order scheme for the derivatives and the trapezoidal rule for the integral… read more here.
Keywords: singularly perturbed; differential equations; diffusion problems; integro differential ... See more keywords