Title : ( Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries )
Authors: Azadeh Rajabzadeh Moghaddam , Mortaza Gachpazan ,
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Abstract
In this study, we use Lie symmetry method to reduce a generalized KdV equation with initial and boundary conditions with non-homogeneous variable coefficients to initial value problem. In particular, we concentrate on the cases that the reduced IVP cannot be solved analytically. We also compare the approximated solutions of IVP using numerical methods with IBVP, and note that they are more efficient than doing the same procedure for IBVP. In fact, it is shown that reducing IBVP to IVP and solving the reduced problem numerically will lead to more accurate solutions.
Keywords
Lie symmetries; generalized KdV; numerical analytic method
@article{paperid:1083418,
author = {Rajabzadeh Moghaddam, Azadeh and Gachpazan, Mortaza},
title = {Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries},
journal = {Asian-European Journal of Mathematics},
year = {2020},
volume = {14},
number = {7},
month = {September},
issn = {1793-5571},
keywords = {Lie symmetries; generalized KdV; numerical analytic method},
}
%0 Journal Article
%T Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries
%A Rajabzadeh Moghaddam, Azadeh
%A Gachpazan, Mortaza
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2020
