Approximation of functions of Lipschitz class and solution of Fokker-Planck equation by two-dimensional Legendre wavelet operational matrix

被引：3

作者：

Lal, Shyam ^{[1
]}

Kumari, Priya ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2021年 / 59卷 / 06期

关键词：

Generalized Lipschitz class; Two-dimensional Legendre wavelet; Two-dimensional Legendre wavelet operational matrix and the Fokker-Planck equation; SPACE; DIFFUSION;

D O I：

10.1007/s10910-021-01257-z

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, Lipschitz class of two-variables is considered. This is the genralization of well-known Lipschitz class of functions. A new estimator of functions belonging to generalized Lipschitz class has been obtained. Also, the solutions for the Fokker-Planck equations have been obtained for two different cases by two-dimensional Legendre wavelet operational matrix method. The approximated solutions of the time-and space-Fokker Planck equation have been compared with the exact solutions and the solutions obtained by homotopy perturbation method. The proposed scheme is simple, effective and suitable for the solution of Fokker-Planck equation.

引用

页码：1536 / 1550

页数：15

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