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Paper Information

Title: 

TWO-DIMENSIONAL DIFFERENTIAL TRANSFORM METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Type: SPEECH
Author(s): MOHSENI MOGHADAM F.,SAEIDI H.A.*
 
 *MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

This paper employs the differential transformation technique to solve the two-dimensional Volterra integro differential equations. By extension of the operations, a two-dimensional intego-differential equation in the domain of interest can be transformed into a system of algebraic equations. The approximations of these equations are calculated in the form of a series with easy computable terms. Exact solutions can also be achieved by the known forms of the series solutions. The method can be easily applied to many linear and non linear problems. Some illustrative examples are given to demonstrate the effectiveness of the present method.

 
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