An approximate solution for a neutral functional-differential equation with proportional delays

作者：Cheng Xue^*; Chen Zhong; Zhang Qingpu

来源：Applied Mathematics and Computation, 2015, 260: 27-34.

DOI：10.1016/j.amc.2015.03.040

• Neutral functional-differential equation
• Proportional delay
• epsilon-approximate solution
• Reproducing kernel theory

In this paper, a novel algorithm based on reproducing kernel theory for neutral functional-differential equation with proportional delays is proposed. The advantages of the presented method are the establishment of complete e-approximate solution theory and high precision of absolute error. Some examples are given to demonstrate the validity and applicability of the new method and some comparisons are made with the existing results.

• 出版日期2015-6-1
• 单位哈尔滨工业大学