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空间分数阶Klein-Gordon方程的一种有效数值算法

An Efficient Numerical Method for Space Fractional Klein-Gordon Equation
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摘要 针对空间分数阶Klein-Gordon方程,提出了一种有效的数值算法.该算法的特点是时间用有限差分,空间用移位Legendre正交多项式来逼近,并将该算法用于线性和非线性的空间分数阶Klein-Gordon方程求解中.数值算例表明,该算法简单,数值精度高,是一种高效的数值求解方法. An efficient numerical method for solving the space fractional Klein-Gordon equation is developed in this paper. The scheme combining finite differences in time and shifted Legendre orthogonal polynomial in space is proposed to numerically solve the underlying problem.The method is applied to solve linear and nonlinear space fractional Klein-Gordon equation.Numerical examples demonstrate that the algorithm is simple,pricise,and highly efficient.
作者 周晓军
机构地区 厦门大学数学科学学院
出处 《厦门大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第4期449-454,共6页 Journal of Xiamen University：Natural Science
基金 贵州省科学技术基金(黔科合J字LKS[2013]04号)
关键词 分数阶Klein—Gordon方程 CAPUTO导数 移位Legendre正交多项式 fractional Klein-Gordon equation Caputo fractional derivative shifted Legendre orthogonal polynomial
分类号 O241.82 [理学—计算数学]
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参考文献20

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厦门大学学报（自然科学版）
2014年 第4期

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