Numerical and asymptotic analysis of a localized heat source undergoing periodic motion

DOI10.1016/J.NA.2009.04.024zbMath1239.45003OpenAlexW2034981655MaRDI QIDQ425789

Colleen M. Kirk

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.024

zbMATH Keywords

blow-upasymptotic analysisnonlinear Volterra integral equationsmoving sourcenumerical analysis

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35)

Related Items (2)

Blow-up collocation solutions of nonlinear homogeneous Volterra integral equations ⋮ Global blow-up for a localized quasilinear parabolic system with nonlocal boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent results on blow-up and quenching for nonlinear Volterra equations
• Blowup in diffusion equations: A survey
• Analysis of explosion for nonlinear Volterra equations
• Volterra equations which model explosion in a diffusive medium
• Critical speed for the avoidance of blow-up in a reactive-diffusive medium
• Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features.
• Blow-up in a reactive-diffusive medium with a moving heat source
• A perspective on the numerical treatment of Volterra equations
• Ignition of a Combustible Solid with Reactant Consumption
• Characterizing the blow-up solutions for nonlinear volterra integral equations
• Initiation of Free-Radical Polymerization Waves
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Growth rates for blow-up solutions of nonlinear Volterra equations
• Collocation Solutions of a Weakly Singular Volterra Integral Equation

This page was built for publication: Numerical and asymptotic analysis of a localized heat source undergoing periodic motion