Numerical Solution of the Burgers' Equation Based on Sinc Method
Author(s):
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
Burgers' equation arises in various areas of applied mathematics,such as modeling of dynamics, heat conduction, and acousticwaves Also, this equation has a large variety of applications inthe modeling of water in unsaturated soil, dynamics of soilwater, models of traffic, turbulence and fluid flow, mixing andturbulent diffusion. Many researchers tried to find analytic and numerical solutions of this equation by different methods.Sinc method is a powerful numerical tool for finding fast andaccurate solution in various areas of problems.In this paper, numerical solution of Burgers' equationis considered by applying Sinc method. For this purpose, we applySinc method in cooperative with a classic finite differenceformula to Burgers'equation. The purpose of this paper is to extend the application of thesinc method for solving Burgers'equation by considering stabilityanalysis of the method. Numerical examples are provided to verify the validity of proposed method
Language:
English
Published:
Theory of Approximation and Applications, Volume:13 Issue: 1, Winter and Spring 2019
Pages:
27 to 42
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