Mahalakshmi M, Hariharan G
Department of Mathematics, School of Humanities & Sciences, SASTRA University, Thanjavur, 613401, India.
J Membr Biol. 2017 Apr;250(2):163-169. doi: 10.1007/s00232-016-9943-9. Epub 2017 Jan 23.
In this paper, a mathematical model of steady-state reaction-diffusion (RD) model for estimating the concentration of species is discussed. We have applied a new wavelet-based operational matrix of derivative method to obtain the approximate solutions for nonlinear RDEs. The proposed method is a powerful and easy-to-use analytical tool for linear and nonlinear problems. Some illustrative examples are given to validate our results with exact solutions. Satisfactory agreement with the exact solution is noticed. Moreover, the use of Legendre wavelets is found to be simple, accurate, efficient and requires small computation costs.
本文讨论了一种用于估计物种浓度的稳态反应扩散（RD）模型的数学模型。我们应用了一种基于小波的新型导数运算矩阵方法来获得非线性反应扩散方程的近似解。所提出的方法是一种用于线性和非线性问题的强大且易于使用的分析工具。给出了一些示例以用精确解验证我们的结果。注意到与精确解有令人满意的一致性。此外，发现使用勒让德小波简单、准确、高效且计算成本小。
