作者
Hadi Jahanshahi, Kamal Shanazari, Mehdi Mesrizadeh, Samaneh Soradi-Zeid, JF Gómez-Aguilar
发表日期
2020/11
期刊
The European Physical Journal Plus
卷号
135
页码范围
1-23
出版商
Springer Berlin Heidelberg
简介
The stability and convergence of the Galerkin method for differential equations with symmetric operators have been confirmed with numerical results, while this is not the case when dealing with unsymmetric operators. In the present study, a sort of transformation is used as a preconditioner to convert the unsymmetric operator to a symmetric one. This method is implemented on the capillary formation mathematical model of tumor angiogenesis problem. Then, a Galerkin meshfree method based on the radial basis functions is presented for the numerical solution of this problem. The proposed strategy is based on applying the Galerkin method and group preserving scheme for the spatial and time variables, respectively. Also, the stability and the convergence of proposed method is considered. In addition, some of the advantages of the proposed technique over existing methods are shown. Finally, some …
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Numerical analysis of Galerkin meshless method for parabolic equations of tumor angiogenesis problem
H Jahanshahi, K Shanazari, M Mesrizadeh… - The European Physical Journal Plus, 2020