Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model
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- 作者：Mehdi Dehghan ; mdehghan@aut.ac.ir" class="auth_mail" title="E-mail the corresponding author ; mdehghan.aut@gmail.com" class="auth_mail" title="E-mail the corresponding author ; Vahid Mohammadi v.mohammadi@aut.ac.ir" class="auth_mail" title="E-mail the corresponding author
- 关键词：Four-species tumor-growth model ; Two and three-dimensional equations ; Meshless collocation technique ; Explicit time integration ; Mathematical biology
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：204-219
- 全文大小：3374 K
文摘
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In current work, we consider two new numerical methods for simulating tumor growth model.
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Two meshless methods are based on collocation procedure.
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Two applied collocation techniques are moving least squares (MLS) and radial basis functions (RBFs).
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The required derivatives are approximated by the direct approach in MLS approximation.
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Some numerical examples (They include one 3-dimensional case) are verified in this work.
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