Numerical Solutions for Time-Fractional Cancer Invasion System With Nonlocal Diffusion

被引：33

作者：

Manimaran, J. ^{[1
]}

Shangerganesh, L. ^{[1
]}

Debbouche, Amar ^{[2
]}

Antonov, Valery ^{[3
]}

机构：

[1] Natl Inst Technol Goa, Dept Appl Sci, Farmagudi, Goa, India

[2] Guelma Univ, Dept Math, Guelma, Algeria

[3] Peter the Great St Petersburg Polytech Univ, Dept Math, St Petersburg, Russia

来源：

FRONTIERS IN PHYSICS | 2019年 / 7卷

关键词：

cancer invasion dynamic system; fractional differential equations; reaction-diffusion system; weak solution; numerical solution; FINITE-ELEMENT-METHOD; SPECTRAL METHOD; DIFFERENTIAL-EQUATIONS; VOLUME METHOD; TUMOR-GROWTH; SCHEME; SIMULATION; STABILITY; ALGORITHM;

D O I：

10.3389/fphy.2019.00093

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article studies the existence and uniqueness of a weak solution of the time-fractional cancer invasion system with nonlocal diffusion operator. Existence and uniqueness results are ensured by adapting the Faedo-Galerkin method and some a priori estimates. Further, finite element numerical scheme is implemented for the considered system. Finally, various numerical computations are performed along with the convergence analysis of the scheme.

引用

页数：16

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