Narayanamoorthy S, Sathiyapriya S P
Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
Springerplus. 2016 Mar 31;5:387. doi: 10.1186/s40064-016-2038-3. eCollection 2016.
In this article, we focus on linear and nonlinear fuzzy Volterra integral equations of the second kind and we propose a numerical scheme using homotopy perturbation method (HPM) to obtain fuzzy approximate solutions to them. To facilitate the benefits of this proposal, an algorithmic form of the HPM is also designed to handle the same. In order to illustrate the potentiality of the approach, two test problems are offered and the obtained numerical results are compared with the existing exact solutions and are depicted in terms of plots to reveal its precision and reliability.
在本文中，我们聚焦于第二类线性和非线性模糊Volterra积分方程，并提出一种使用同伦摄动法（HPM）的数值格式来获得它们的模糊近似解。为了便于利用该提议的优点，还设计了HPM的算法形式来处理同样的问题。为了说明该方法的潜力，给出了两个测试问题，并将得到的数值结果与现有的精确解进行比较，并用图表进行描述以揭示其精度和可靠性。
