On the equivalence of non-iterative transformation methods based on scaling and spiral groups

DOI10.1002/mma.1179zbMath1186.65101OpenAlexW2170629566MaRDI QIDQ3549934

Riccardo Fazio, Salvatore Iacono

Publication date: 30 March 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1179

zbMATH Keywords

numerical resultsnonlinear boundary value problemsscaling propertiesscaling groupspiral groupinitial value methodsnon-iterative transformation methodsnonlinear heat model

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Uses Software

• Matlab
• ode23
• MATLAB ODE suite

Cites Work

• Unnamed Item
• Non-linear boundary and eigenvalue problems for the Emden-Fowler equations by group methods
• A noniterative transformation method applied to two-point boundary-value problems
• Computational methods in engineering boundary value problems
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• A survey on free boundary identification of the truncated boundary in numerical BVPs on infinite intervals
• The Falkner-Skan equation: Numerical solutions within group invariance theory
• Transformation of boundary value problems into initial value problems
• Nonlinear partial differential equations in engineering. Vol. II
• The MATLAB ODE Suite
• On the Transformation of a Class of Boundary Value Problems into Initial Value Problems for Ordinary Differential Equations
• Exact shooting and eigenparameter problems
• A numerical test for the existeence and uniqeness of solution of free boundery problems
• The iterative transformation method: numerical solution of one-dimensional parabolic moving boundary problems
• A Novel Approach to the Numerical Solution of Boundary Value Problems on Infinite Intervals
• Normal variables transformation method applied to free boundary value problems^∗
• Transforming Boundary Conditions to Initial Conditions for Ordinary Differential Equations
• Further Extension on Transforming from Boundary Value to Initial Value Problems
• An Initial Value Problem Approach to the Solution of Eigenvalue Problems
• A Method for the Solution of Conduction Heat Transfer with Non‐linear Heat Generation
• On the moving boundary formulation for parabolic problems on unbounded domains

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