Cubic trigonometric B-spline differential quadrature method for numerical treatment of Fisher's reaction-diffusion equations

被引：41

作者：

Tamsir, Mohammad ^{[1
]}

Dhiman, Neeraj ^{[2
]}

Srivastava, Vineet K. ^{[3
,4
]}

机构：

[1] Graph Era Univ, Dept Math, Dehra Dun 248001, Uttar Pradesh, India

[2] Graph Era Hill Univ, Dept Math, Dehra Dun 248001, Uttar Pradesh, India

[3] ISRO Telemetry Tracking & Command Network, Flight Dynam Grp, Bangalore 560058, Karnataka, India

[4] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2018年 / 57卷 / 03期

关键词：

CTB functions; DQM; Fisher's reaction-diffusion equation; SSP-RK54; ALGORITHM; WAVE;

D O I：

10.1016/j.aej.2017.05.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper concerns through the numerical treatment of Fisher's reaction-diffusion equation by using a hybrid numerical method. In this method, the combination of cubic trigonometric B-spline (CTB) base functions and differential quadrature method is used. This reduces the problem to a system of first order ODEs which is solved by "an optimal five stage and fourth-order strong stability preserving Runge-Kutta (SSP-RK54)" scheme. Four examples are considered to compare the present results with exact solutions and the results obtained by existing methods. It is found that the present method is not only quite easy to implement, but also it gives better results than the ones already existing in the literature. (C) 2017 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

引用

页码：2019 / 2026

页数：8

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