The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems

DOI10.1080/00207160108805107zbMath1009.65056OpenAlexW2086619752MaRDI QIDQ4780549

Riccardo Fazio

Publication date: 6 February 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805107

zbMATH Keywords

numerical resultsfree boundary problemsimplicit Euler's methoditerative transformation methodparabolic moving boundary problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35)

Related Items (10)

Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ Numerical solution of Stefan problems using automatic differentiation ⋮ The iterative transformation method for the Sakiadis problem ⋮ Unnamed Item ⋮ High-order compact schemes for semilinear parabolic moving boundary problems ⋮ On the equivalence of non-iterative transformation methods based on scaling and spiral groups ⋮ Fourth-order schemes of exponential type for singularly perturbed parabolic partial differential equations ⋮ Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem ⋮ On the moving boundary formulation for parabolic problems on unbounded domains ⋮ A non-iterative transformation method for boundary-layer with power-law viscosity for non-Newtonian fluids

Cites Work

• A free boundary problem in acrosomal elongation
• A moving boundary hyperbolic problem for a stress impact in a bar of rate-type material
• A Galerkin method for Stefan problems
• Numerical transformation methods: A constructive approach
• Nonlinear Moving Boundary Problems and a Keller Box Scheme
• A free boundary problem of biological interest
• Similarity and numerical analysis for free boundary value problems^∗
• One-Dimensional Parabolic Free Boundary Problems
• A Novel Approach to the Numerical Solution of Boundary Value Problems on Infinite Intervals
• Sequential Tests for the Mean of a Normal Distribution II (Large $t$)
• An Implicit Free Boundary Problem for the Heat Equation
• Termination Criterion and Numerical Convergence

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