A new analytical technique to solve Volterra's integral equations

✍ Scribed by Hossein Vosughi; Elyas Shivanian; Saeid Abbasbandy

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 228 KB
• Volume: 34
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1436

✦ Synopsis

Communicated by I. Stratis

The purpose of the present paper is to show that the well-known homotopy analysis method for solving ordinary and partial differential equations can be applied to solve linear and nonlinear integral equations of Volterra's type with high accuracy as well. Comparison of the present method with Adomian decomposition method (ADM), a well-known method to solve integral equations, reveals that the ADM is only especial case of the present method. Furthermore, some illustrating examples such as linear, nonlinear and singular integral equations of Volterra's type are given to show high efficiency with reliable accuracy of the method.