Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4930
Title: Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application
Authors: Gücüyenen, Nurcan
Tanoğlu, Gamze
Gücüyenen, Nurcan
Tanoğlu, Gamze
Izmir Institute of Technology. Mathematics
Keywords: Capillary formation
Iterative operator splitting method
Stability and consistency analysis
Tumor angiogenesis
Mathematical operators
Issue Date: Nov-2011
Publisher: John Wiley and Sons Inc.
Source: Gücüyenen, N., and Tanoǧlu, G. (2011). Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application. International Journal for Numerical Methods in Biomedical Engineering, 27(11), 1740-1750. doi:10.1002/cnm.1435
Abstract: Iterative operator splitting method is used to solve numerically the mathematical model for capillary formation in tumor angiogenesis problem. The method is based on first splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes. The algorithms are obtained by applying the proposed method to the given model problem. The explicit local error bounds are derived to show consistency. We also explained the stability by constructing the stability functions. The obtained numerical results show that iterative splitting method provides high accuracy and efficiency with respect to other classical methods in the literature.
URI: http://doi.org/10.1002/cnm.1435
http://hdl.handle.net/11147/4930
ISSN: 2040-7939
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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