Parameterized Differential Transform Method and Its Application to Boundary Value Transmission Problems

Authors : Merve YÜCEL, Fahreddin MUHTAROV

Pages : 412-423

Doi:10.53433/yyufbed.1143699

View : 54 | Download : 69

Publication Date : 2023-08-31

Article Type : Research Paper

Abstract :In this study, we developed a new modification of the well-known differential transform method insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.
Keywords : Diferensiyel dönüşüm yöntemi, Geçiş şartları, Sınır değer preblemleri