Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity

DOI10.1093/IMAMAT/40.3.217zbMATH Open0679.35048OpenAlexW2122213351MaRDI QIDQ4728731

A. M. Stuart

Publication date: 1988

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/79e62351cb714766cc2ad690791e9bd5e1a1aaa9

zbMATH Keywords

combustionsimilarity solutioninitial boundary value problemNewton-Kantorovich iterationBanach's fixpoint theoremreation diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Combustion (80A25) Initial value problems for second-order parabolic systems (35K45) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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