A comparative study between an integral equation approach and a finite difference formulation for heat diffusion with nonlinear boundary conditions

DOI10.1016/0307-904X(94)90355-7zbMath0806.65102MaRDI QIDQ1334888

R. Villasenor

Publication date: 9 February 1995

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

heat equationfinite difference methodnonlinear boundary conditionsdiffusion-convection equationStefan-Boltzmann lawlinear multistep procedurenonsingular, nonlinear Volterra equation of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Other nonlinear integral equations (45G10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

Choice of the Iterative Method for the Solution of Nonlinear Nonstationary Problem of Heat Conduction for a Half Space in the Course of Radiative Cooling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The energy-integral method: Application to one-phase hyperbolic Stefan problems
• A new application of Lagrange-Bürmann expansions. II. Application to unsteady heat conduction problems with radiation
• Heat diffusion with time-dependent convective boundary conditions
• Nonlinear Heat Transfer Problem
• Linear Multistep Methods for Volterra Integral and Integro-Differential Equations
• A boundary integral equation method for an inverse problem related to crack detection
• Gauss quadrature rules for finite part integrals
• Heat transfer between solids and gases under nonlinear boundary conditions

This page was built for publication: A comparative study between an integral equation approach and a finite difference formulation for heat diffusion with nonlinear boundary conditions