TY  - JOUR
T1  - Parameterized Differential Transform Method and Its Application to Boundary Value Transmission Problems
TT  - Parametreli Diferansiyel Dönüşüm Yöntemi ve Sınır Değer Geçiş Problemlerine Uygulanması
AU  - Yücel, Merve
AU  - Muhtarov, Fahreddin
PY  - 2023
DA  - August
DO  - 10.53433/yyufbed.1143699
JF  - Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi
JO  - YYU JINAS
PB  - Van Yuzuncu Yıl University
WT  - DergiPark
SN  - 1300-5413
SP  - 412
EP  - 423
VL  - 28
IS  - 2
LA  - en
AB  - In this study, we developed a new modification of the well-known differential transform method (DTM) that differs from the classical one by the algorithm for calculating the coefficients of an approximate solution given as a series. The proposed new algorithm we will call α-parameterized DTM (α-p DTM,for short). By using the proposed α-p DTM, we solve the boundary value transmission problem for the third-order differential equation. For the same problem, an approximate solution is also found using also the classical DTM. The solutions obtained were compared graphically.
KW  - Boundary value problems
KW  - Differential transform method
KW  - Transmission conditions
N2  - Bu çalışmada literatürden iyi bilinen diferansiyel dönüşüm yönteminin (DDY) yeni bir modifikasyonunu geliştirdik. Seri biçiminde verilmiş yaklaşık çözümde serinin katsayılarının hesaplanmasında uyguladığımız algoritma geleneksel DDY’den farklıdır. Önerdiğimiz yeni algoritmayı α-parametreli diferansiyel dönüşüm yöntemi (α-p DDY) olarak adlandırıyoruz. Geliştirdiğimiz α-p DD yöntemini uygulayarak 3. mertebeden diferensiyel denklem için sınır değer geçiş probleminin yaklaşık çözümleri bulunmuştur. Aynı problemin başka bir yaklaşık çözümü, geleneksel DD yöntemi ile de bulunmuştur. Bulduğumuz sonuçlar grafiksel olarak karşılaştırılmıştır.
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UR  - https://doi.org/10.53433/yyufbed.1143699
L1  - https://dergipark.org.tr/en/download/article-file/2538027
ER  -