Applying homotopy analysis method for solving differential-difference equation

作者：Wang Zhen^*; Zou Li; Zhang Hongqing

来源：Physics Letters A, 2007, 369(1-2): 77-84.

DOI：10.1016/j.physleta.2007.04.070

• differential-difference equation
• homotopy analysis method
• homotopy-pade approximation
• Volterra equation

In this Letter, we apply the homotopy analysis method to solving the differential-difference equations. A simple but typical example is applied to illustrate the validity and the great potential of the generalized homotopy analysis method in solving differential-difference equation. Comparisons are made between the results of the proposed method and exact solutions. The results show that the homotopy analysis method is an attractive method in solving the differential-difference equations.

• 出版日期2007-9-10
• 单位大连理工大学