Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

DOI10.2478/s11533-013-0253-5zbMath1273.65140OpenAlexW2070983856MaRDI QIDQ360334

Stefka Dimova, Milena Dimova, Daniela Vasileva

Publication date: 26 August 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0253-5

zbMATH Keywords

self-similar solutionsnumerical examplesstructural stabilityblow-upmetastabilitynonlinear parabolic problemsnonlinear elliptic self-similar problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Blow-up in context of PDEs (35B44)

Related Items (1)

Numerical methods to simulate moisture dynamics in fibrous sheet

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and localization of unbounded solutions of a nonlinear heat equation in a plane
• High accurate NRK and MWENO scheme for nonlinear degenerate parabolic PDEs
• A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
• Numerical analysis of radially nonsymmetric blow-up solutions of a nonlinear parabolic problem
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On the finite difference approximation for blow-up solutions of the porous medium equation with a source
• Bifurcation analysis of the spectrum of two-dimensional thermal structures evolving with blow-up
• Numerical solution of a Cauchy problem for nonlinear reaction diffusion processes
• Numerical Investigation of Spiral Structure Solutions of a Nonlinear Elliptic Problem
• Numerical blow‐up for the porous medium equation with a source
• Numerical realization of blow‐up spiral wave solutions of a nonlinear heat‐transfer equation
• Numerical analysis of the eigenfunctions for the combustion of a non-linear medium in the radial-symmetric case

This page was built for publication: Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium