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Brusselator模型的空间谱插值配点方法数值模拟

Numerical Simulation of the Brusselator Model with Spatial Spectral Interpolation Coordination Method
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摘要 该文研究一类非线性反应扩散方程组Brusselator模型,因此寻找一种简单有效的非线性反应扩散系统的数值方法是非常重要的。基于这一问题,本文提出了采用这种新的空间谱插值配点方法模拟了一些数值算例,其结果和理论上的吻合较好,结果表明了该方法的有效性。 This paper studies the Brusselator model of a class of nonlinear reaction-diffusion equations, so it is very important to find a simple and effective numerical method for nonlinear reaction-diffusion systems. Based on this problem, some numerical examples are simulated by using this new spatial spectral interpolation collocation method.
机构地区 内蒙古工业大学
出处 《应用数学进展》 2020年第5期708-721,共14页 Advances in Applied Mathematics
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  • 1周天寿.线性耦合振子中的回声波及其稳定性[J].江西师范大学学报(自然科学版),2006,30(1):1-6. 被引量:2
  • 2Tsang K Y,Mirollo R E,Strogatz S H.Dynamics of a globally coupled oscillator array[ J].Physica D,1991,48:102-112.
  • 3Zhou T S.Stability of echo waves in linearly coupled oregonators[ J].Phys Lett A,2003,320:116-126.
  • 4Zhou T S,Zhang S C.Dynamical behaviors in linearly coupled oregonators[J].Physica D,2001,151:99-216.
  • 5Zhou T S,Chen L N,Wang R Q.Excitation functions of coupling[J].Phys Rev E,2005,71:66-211.
  • 6Zhou T S,Chen L N,Aihara K.Molecular communication through stochastic synchronization induced by extracellular fluctuations[ J].Phys Rev Lett,2005,95:178-103.
  • 7Zhou T S,Chen L N,Wang R Q.A mechanism of synchronization in interacting multi-cell genetic systems[J].Physica D,2005,211:107-127.
  • 8Alexander J C,Auchmuty J F G.Global bifurcation of phase-locked oscillators[ J].Arch Rational Mech Ann,1986,93:253-270.
  • 9Lohmiller W,Slotins J J E.On contraction analysis for nonlinear systems[ J].Automatica,1998,34:6-20.
  • 10Taga M E,Bassler B L.Chemical communication among bacteria[ J].PNAS,2003,100:14 549-14 554.

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