Solution of boundary value problems for integro-differential equations by using differential transform method

Aytac Arikoglu, Ibrahim Ozkol*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

211 Citations (Scopus)

Abstract

In this study, we extended the differential transform method (DTM) to solve the integro-differential equations. New theorems for the transformation of integrals are introduced and prooved. The commonly encountered linear and nonlinear integro-differential equations that appear in literature are solved as an illustration for the efficiency of the method. Some numerical results are also given to demonstrate the superiority of the method to other common techniques. The results we obtained by using this technique is much more accurate compared to the existing ones.

Original languageEnglish
Pages (from-to)1145-1158
Number of pages14
JournalApplied Mathematics and Computation
Volume168
Issue number2
DOIs
Publication statusPublished - 15 Sept 2005

Keywords

  • Differential transform method
  • Integro-differential equations
  • Taylor series

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