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A numerical approach to interface curves for some nonlinear diffusion equations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Solutions with shocks: An example of an L 1 ‐contractive semigroup
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Stability of the separable solution for fast diffusion
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Galactic civilizations: Population dynamics and interstellar diffusion
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Some exact solutions to a non-linear diffusion problem in population genetics and combustion
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On the diffusion of biological populations
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The numerical solution of a one-dimensional problem for equations of non-stationary filtration
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The propagation of disturbances in problems of non-linear heat conduction with absorption
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Thermal waves in an absorbing and convecting medium
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Positivity versus localization in degenerate diffusion equations
inferredcites →https://doi.org/10.1016/s0065-2504(08)60280-9openalex-snapshot
Population Cycles in Small Mammals
inferredcites →https://doi.org/10.1017/s0022112077002328openalex-snapshot
Viscous sheets advancing over dry beds
inferredcites →https://doi.org/10.1090/conm/017/706099openalex-snapshot
Traveling wave solutions to reaction-diffusion systems modeling combustion
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0525681-7openalex-snapshot
The Behavior of the Support of Solutions of the Equation of Nonlinear Heat Conduction with Absorption in One Dimension
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0743729-3openalex-snapshot
An interface tracking algorithm for the porous medium equation
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0790642-6openalex-snapshot
A Linearly Implicit Finite-Difference Scheme for the One-Dimensional Porous Medium Equation
inferredcites →https://doi.org/10.1093/qjmam/12.4.407openalex-snapshot
DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
inferredcites →https://doi.org/10.1097/00010694-195812000-00015openalex-snapshot
The Physics of Flow Through Porous Media
inferredcites →https://doi.org/10.1137/0120027openalex-snapshot
A Finite Difference Approach to Some Degenerate Nonlinear Parabolic Equations
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Asymptotic Analysis of Nonlinear Marshak Waves
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How an Initially Stationary Interface Begins to Move in Porous Medium Flow
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Theory of Ground Water Movement
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Population Control in Arctic Ground Squirrels
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Numerical approximations to interface curves for a porous media equation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Tracking the Interface of the Diffusion-Absorption Equation: Theoretical Analysis
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A Numerical Approach to the Dynamical Behavior of Initiated Pulses in Some Nonlinear Diffusion Equations
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Standing pulse-like solutions of a spatially aggregating population model
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Error estimates for multidimensional singular parabolic problems
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Approximation to nonlinear convection diffusion equations
inferred← citeshttps://doi.org/10.1016/0893-9659(92)90011-wopenalex-snapshot
Difference approximations to interface curves for nonlinear diffusion equations with absorption
inferred← citeshttps://doi.org/10.1016/0898-1221(88)90284-2openalex-snapshot
Lagrangian non-oscillatory and FEM schemes for the porous media equation
inferred← citeshttps://doi.org/10.1016/j.apnum.2012.11.001openalex-snapshot
On the finite difference approximation for blow-up solutions of the porous medium equation with a source
inferred← citeshttps://doi.org/10.1016/j.jcp.2008.11.011openalex-snapshot
Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.01.055openalex-snapshot
Numerical methods for porous medium equation by an energetic variational approach
inferred← citeshttps://doi.org/10.1016/j.mcm.2007.12.014openalex-snapshot
Error analysis of the numerical solution of split differential equations
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A Discrete Model for Spatially Aggregating Phenomena
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00714-8openalex-snapshot
Numerical computations to pulse splitting phenomena in the thermal waves through an absorbing medium
inferred← citeshttps://doi.org/10.1023/a:1019153212135openalex-snapshot
Numerical interface curves for some nonlinear diffusion equations
inferred← citeshttps://doi.org/10.1090/qam/1040238openalex-snapshot
A numerical treatment of a superdegenerate equation with applications to the porous media equation
inferred← citeshttps://doi.org/10.1090/qam/2003-61-04openalex-snapshot
inferred← citeshttps://doi.org/10.1090/qam/2019614openalex-snapshot
Numerical approach to the waiting time for the one-dimensional porous medium equation
inferred← citeshttps://doi.org/10.1090/s0025-5718-1986-0856694-0openalex-snapshot
Difference Schemes for Degenerate Parabolic Equations
inferred← citeshttps://doi.org/10.11345/nctam.54.189openalex-snapshot
Support Re-Splitting Phenomena in the Flow Through an Absorbing Medium
inferred← citeshttps://doi.org/10.1137/s0036142900380303openalex-snapshot
A Finite Difference Scheme for Some Nonlinear Diffusion Equations in an Absorbing Medium: Support Splitting Phenomena
inferred← citeshttps://doi.org/10.1142/s0218202512500042openalex-snapshot
NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION
inferred← citeshttps://doi.org/10.32917/hmj/1206128259openalex-snapshot
Numerical treatment on the behavior of interfaces in oil-reservoir problems
inferred← citeshttps://doi.org/10.32917/hmj/1206128924openalex-snapshot
Derivation of a porous medium equation from many Markovian particles and the propagation of chaos
inferred← citeshttps://doi.org/10.32917/hmj/1206129730openalex-snapshot
Numerical interfaces in nonlinear diffusion equations with finite extinction phenomena
inferred← citeshttps://doi.org/10.3792/pjaa.77.32openalex-snapshot
A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption
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