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Application of differential transform method on nonlinear integro-differential equations with proportional delay
Journal article   Peer reviewed

Application of differential transform method on nonlinear integro-differential equations with proportional delay

Reza Abazari, Adem Kılıcman and tarig m elzaki
Neural computing & applications, Vol.24(2), pp.391-397
01/02/2014
DOI: https://doi.org/10.1007/s00521-012-1235-4

Abstract

Artificial Intelligence Computational Biology/Bioinformatics Computational Science and Engineering Computer Science Data Mining and Knowledge Discovery Image Processing and Computer Vision Original Article Probability and Statistics in Computer Science
In this work, we applied the differential transform method, by presenting and proving some theorems, to solve the nonlinear integro-differential equation with proportional delays. This technique provides a sequence of functions which converges to the exact solution of the problem. In order to show the power and the robustness of the method and to illustrate the pertinent features of related theorems, some examples are presented.

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