TY - JOUR
T1 - Solution of Integro-Differential Difference equations via Differential Transform Method
AU - Yavuz, Mustafa Tolga
AU - Ozkol, İbrahim
PY - 2021
DA - May
JF - Cankaya University Journal of Science and Engineering
JO - CUJSE
PB - Cankaya University
WT - DergiPark
SN - 2564-7954
SP - 33
EP - 46
VL - 18
IS - 1
LA - en
AB - This study presents the application of semi-analytical and numerical solution technique to both Volterra and Fredholm integro-differential difference equations by employing Differential Transform Method depending on Taylor series expansion and introducing the new differential transform theorems with their proofs. To illustrate the computational efficiency and the reliability of the method to other common numerical methods in the open literature, some examples are carried out it is found that the results are highly accurate and reliable.
KW - Differential transform method
KW - Fredholm and Volterra integrals
KW - Integro-differential difference equations
KW - Taylor series expansion
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UR - https://dergipark.org.tr/en/pub/cankujse/issue/61974/896212
L1 - https://dergipark.org.tr/en/download/article-file/1636047
ER -