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Iterative numerical method for nonlinear moving boundary problem with a convective boundary condition
This paper studies a mathematical model of the phase transition process as a moving boundary problem (MBP). An equation describing the...
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Numerical simulation of moving boundary problem by modified Keller box method with boundary immobilisation technique
A modified Keller box (MKB) method is applied to the moving boundary problem (MBP) based on the boundary immobilisation technique. MBP is the...
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A numerical study of a moving boundary problem with variable thermal conductivity and temperature-dependent moving PCM under periodic boundary condition
The work in this paper concerns the study of a one-phase moving boundary problem with size-dependent thermal conductivity and moving phase change...
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Solving a one-dimensional moving boundary problem based on wave digital principles
We report on a novel method for solving one-dimensional moving boundary problems based on wave digital principles. Here, we exploit multidimensional...
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Thermal State of a Region with a Thermally Insulated Moving Boundary
AbstractMathematical model representations of the temperature effect in regions with a thermally insulated moving boundary are developed. The...
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Investigation of a Drug Release Moving Boundary Problem in a Swelling Polymeric Device
This paper considers a drug delivery polymeric device in contact with a solvent as a nonlinear moving boundary problem. In this problem, the drug...
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Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure
AbstractThe two-dimensional laminar flow of a viscous incompressible fluid over a flat surface is considered at high Reynolds numbers. The influence...
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Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support
AbstractWe pose the problem of vibrations of a beam with a moving spring-loaded support carrying an attached mass. When the support is not...
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On mKdV and associated classes of moving boundary problems: reciprocal connections
A class of Stefan-type moving boundary problems for the canonical modified Korteweg–de Vries (mKdV) equation of soliton theory is solved via...
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A novel hybrid method based cubic B-spline for one-dimensional Stefan problem with moving PCM, size-dependent thermal conductivity and periodic boundary condition
Phase change materials (PCM) are substances that release and absorb sufficient energy at phase transition to provide useful heat or cooling. Stefan...
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Electrophoresis, a transport technology that transitioned from moving boundary method to zone method
Gel electrophoresis, a transport technology, is one of the most widely used experimental methods in biochemical and pharmaceutical research and...
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Moving contact problem of a functionally graded orthotropic coated half plane
This paper develops a frictional moving contact model for a functionally graded (FG) orthotropic layer pressed by a rigid cylindrical punch. The FG...
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Conduction with Phase Change: Moving Boundary Problems
There are many applications in which a material undergoes phase change such as in melting, freezing, casting, ablation, cryosurgery, and soldering....
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Comoving mesh method for certain classes of moving boundary problems
A Lagrangian-type numerical scheme called the “comoving mesh method” or CMM is developed for numerically solving certain classes of moving boundary...
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Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold
AbstractThis paper is devoted to the study of a degenerating parabolic heat equation with nonlinearities of a general type in the presence of a...
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Solvability of a boundary value problem for steady Stokes equations in a sectorial domain
We investigate a boundary value problem for steady Stokes equations in a sectorial domain. The problem appears in the analysis of a free boundary...
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On the numerical solution of a class of variable coefficients parabolic moving boundary problems
This study deals with a class of variable coefficients second-order parabolic moving boundary problems. The evolution of the domain is considered to...
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A moving least square immersed boundary method for SPH with thin-walled rigid structures
This paper presents a novel method for smoothed particle hydrodynamics (SPH) with thin-walled rigid structures. Inspired by the direct forcing...
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Computational assessment of immersed boundary–lattice Boltzmann method for complex moving boundary problems
In the present work, we investigate the accuracy and robustness of our in-house OpenMP parallelized direct-forcing immersed boundary–lattice...
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The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary
A method of integral transformations for solving the boundary-value problems for the equation of heat conduction in limited regions containing a...