Approximate Solution of Homogeneous and Nonhomogeneous 5αth-Order Space-Time Fractional KdV Equations

被引：6

作者：

Biswas, Swapan ^{[1
]}

Ghosh, Uttam ^{[2
]}

机构：

[1] Prabhu Jagatbandhu Coll, Howrah, W Bengal, India

[2] Univ Calcutta, Dept Appl Math, Kolkata, India

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2021年 / 18卷 / 01期

关键词：

Homotopy analysis method; Caputo fractional derivatives; KdV equation and approximate solution; DIFFERENTIAL-EQUATIONS; VARIATIONAL-PRINCIPLES; ITERATION METHOD; DIFFUSION; CALCULUS;

D O I：

10.1142/S0219876220500188

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the semi-inverse method is applied to derive the Lagrangian of the 5 alpha th Korteweg de Vries equation (KdV). Then the time and space differential operators of the Lagrangian are replaced by corresponding fractional derivatives. The variation of the functional of this Lagrangian is devoted to lead the fractional Euler Lagrangian via Agrawal's method, which gives the space-time fractional KdV equation. Jumarie derivative is used to obtain the space-time fractional KdV equations. The homotopy analysis method (HAM) is applied to solve the derived space-time fractional KdV equation. Then numerical solutions are compared with the known analytical solutions by tables and figures.

引用

页数：23

共 40 条

[1] The application of homotopy analysis method to nonlinear equations arising in heat transfer [J].