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<p>This approach captures the different patterns of coupled nonlinear reaction–diffusion (RD) models which arises in chemical systems of biology and chemistry. To accomplish this task, a new algorithm based on modified trigonometric cubic B-spline functions is developed. Also, the computational complexity of the algorithm is discussed. From numerical experiments point of view, a test problem for accuracy, 1D and 2D Brusselator models and Grey-Scott model are considered. </p>

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Pattern evolution of coupled reaction–diffusion models arises in chemical systems using modified trigonometric cubic B-spline functions

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Jitender Kumar,
  • Vikas Kumar,
  • Sapna Pandit,
  • Sardor Dadabaev Usmanovich,
  • Norqulova Ziyoda Nabi Qizi

摘要

This approach captures the different patterns of coupled nonlinear reaction–diffusion (RD) models which arises in chemical systems of biology and chemistry. To accomplish this task, a new algorithm based on modified trigonometric cubic B-spline functions is developed. Also, the computational complexity of the algorithm is discussed. From numerical experiments point of view, a test problem for accuracy, 1D and 2D Brusselator models and Grey-Scott model are considered.