Numerical Analysis of Plasma KdV Equation: Time-Fractional Approach

被引:0
|
作者
Sohail A. [1 ]
Arshad S. [2 ]
Ehsan Z. [3 ]
机构
[1] Department of Mathematics, COMSATS Institute of Information Technology, Lahore
[2] Department of Mathematics, Lahore Garrison University, Lahore
[3] Department of Physics, COMSATS Institute of Information Technology, Lahore
关键词
Fractional Adam Bashforth Moulton method; Fractional differential equations; Multi ion plasma; Spectral method; Stability analysis;
D O I
10.1007/s40819-017-0420-7
中图分类号
学科分类号
摘要
Numerical solution of the fractional order Modified Korteweg-de Vries equation governing the dynamics, is approximated using a novel space spectral time fractional finite difference tool. A spectral technique for space and a multi-step finite difference scheme for time are designed and implemented. The spatial spectral discretization error and the stability bounds are discussed. The nonlinear phenomena of plasma waves are well demonstrated with the aid of graphical analysis. © 2017, Springer (India) Private Ltd.
引用
收藏
页码:1325 / 1336
页数:11
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