Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates
type: Item
instance of: scholarly article
title: Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates
zbMATH Open document ID: 1234.35170
DOI: 10.5402/2012/234516
author: Rajive Kumar
author: Vijay Dahiya
author: R. K. Mohanty
published in: ISRN Mathematical Physics
publication date: 2012-03-14T00:00:00Z
review text: Summary: Using a non-polynomial cubic spline approximation in \(x\)- and finite difference in \(y\)-direction, we discuss a numerical approximation of \(O(k^2 + h^4)\) for the solutions of diffusion-convection equation, where \(k > 0\) and \(h > 0\) are grid sizes in \(y\)- and \(x\)-coordinates, respectively. We also extend our technique to polar coordinate system and obtain high-order numerical scheme for Poisson's equation in cylindrical polar coordinates. Iterative method of the proposed method is discussed, and numerical examples are given in support of the theoretical results.
Mathematics Subject Classification ID: 35Q05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 6014687
Wikidata QID: Q58690276
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/234516
OpenAlex ID: W2024090665
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description: scientific article; zbMATH DE number 6014687