Normal variables transformation method applied to free boundary value problems∗

DOI10.1080/00207169008803947zbMath0725.65129OpenAlexW2081991462MaRDI QIDQ5203637

Riccardo Fazio

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00207169008803947

zbMATH Keywords

iterative methodfree boundary value problemnon-iterative methodnormal variablessimilarity propertiesinvariant transformation groupsnumerical transformation methods

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (11)

Numerical transformation methods: A constructive approach ⋮ Stagnation point flow—a free boundary value problem formulation ⋮ Free boundary formulation for BVPs on a semi-infinite interval and non-iterative transformation methods ⋮ Unnamed Item ⋮ A nonlinear hyperbolic free boundary value problem ⋮ A noniterative transformation method applied to two-point boundary-value problems ⋮ On the equivalence of non-iterative transformation methods based on scaling and spiral groups ⋮ The Blasius problem formulated as a free boundary value problem ⋮ Numerical length estimation for tubular flow reactors ⋮ A numerical test for the existeence and uniqeness of solution of free boundery problems ⋮ The iterative transformation method and length estimation for tubular flow reactors

Uses Software

• IMSL Numerical Libraries

Cites Work

• Numerical evaluations for shock and discontinuity velocity related to similarity solutions of quasilinear hyperbolic systems
• A nonlinear hyperbolic free boundary value problem
• Computational methods in engineering boundary value problems
• Similarity methods for differential equations
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• Analysis and Implementation of an Oxygen Absorption Model
• On the solution of the free-boundary problem for elliptic equations
• Similarity and numerical analysis for free boundary value problems^∗
• Exact shooting and eigenparameter problems
• Transforming Boundary Conditions to Initial Conditions for Ordinary Differential Equations

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