Title :
Notice of Retraction
Applications of differential transform method to linear volterra integral equations
Author_Institution :
Math. Dept., Young Res. Club, Islamic Azad Univ., Tabriz, Iran
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
In this paper, Linear volterra integral equations are solved by the differential transformation method. This method is simply than the other methods. The differential transformation method of fixed grid size is used to approximate solutions Linear volterra integral equation. The higher order of Taylor´s series be applied. Thus, there exist a trade-off between the selection of the order of Taylor´s series and the grid size. The proposed method provides the Taylor´s series between any adjacent grid points. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed the method.
Keywords :
Volterra equations; series (mathematics); transforms; Taylor series; differential transform method; grid size; linear volterra integral equations; Approximation methods; Biological system modeling; Biology computing; Chemistry; Differential equations; Integral equations; Linear approximation; Mathematics; Taylor series; Transforms; Integral equations; differential equations; differential transformation; leibnitz rule;
Conference_Titel :
Financial Theory and Engineering (ICFTE), 2010 International Conference on
Conference_Location :
Dubai
Print_ISBN :
978-1-4244-7757-9
DOI :
10.1109/ICFTE.2010.5499408
