The time-splitting Fourier spectral method for Riesz fractional coupled Schrodinger-KdV equations in plasma physics

被引：3

作者：

Ray, S. Saha ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Rourkela 769008, India

来源：

MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 28期

关键词：

Time-splitting spectral method; fractional centered difference; implicit finite difference method; Crank-Nicolson finite difference method; Riesz fractional derivative; DIFFUSION EQUATION; NUMERICAL-METHODS;

D O I：

10.1142/S0217984918503414

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, Riesz fractional coupled Schrodinger-KdV (SK) equations have been solved by implementing a new approach viz. time-splitting spectral method. In order to verify the results, it has also been solved by an implicit finite difference method by using fractional centered difference approximation for Riesz fractional derivative. The obtained results manifest that the proposed time-splitting spectral method is very effective and simple for obtaining approximate solutions of Riesz fractional coupled SK equations. In order to show the reliability and efficiency of the proposed methods, numerical solutions obtained by these methods have been presented graphically.

引用

页数：14

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