Differential transform method to solve two-dimensional Volterra integral equations with proportional delays

• Main Authors: Suayip Yuzbasi, Nurbol Ismailov
• Format: Article
• Language: English
• Published: BİSKA Bilisim Company 2017-10-01
• Series: New Trends in Mathematical Sciences
• Subjects: Two-dimensional Volterra integral equations with proportional delays; partial differential equations; differential transform method.
• Online Access: https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8350

In this paper, the differential transform method is extended by providing a new theorem to two-dimensional Volterra integral equations with proportional delays. The method is useful for both linear and nonlinear equations. If solutions of governing equations can be expanded for Taylor series, then the method gives opportunity determine coefficients Taylor series, i.e. the exact solutions are obtained in series form. In illustrate examples the method applying to a few type equations.