Travelling Waves: Interplay of Low to High Reynolds Number and Tan-Cot Function Method to Solve Burger’s Equations
Travelling Waves: Interplay of Low to High Reynolds Number and Tan-Cot Function Method to Solve Burger’s Equations作者机构：Department of Mathematics University of Dhaka Dhaka Bangladesh Department of Mathematics and Statistics Memorial University St. John’s Canada
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2019年第7卷第4期
页 面：861-873页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nonlinear PDEs Tan-Cot Function Method Travelling Wave Solutions Burg-er’s Equation Reynolds Number Crank-Nicolson Scheme
摘 要：We study the nonlinear parabolic equations for travelling wave solutions of Burger’s equations. The purpose of the present work is to study various types of Burger’s equations describing waves and those are based on nonlinear equations. We focus on to describe the analytic solution in the special pattern of travelling wave solutions using tan-cot function method. We discuss about inviscid and viscous version of Burger’s equation for fluid flow and investigate the effects of internal friction of a fluid via Reynolds number. By changing the velocity amplitude, the nature of flows with shock wave and disturbance are observed. For numerical solutions, the Crank-Nicolson scheme is introduced to establish the wave solutions.
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