Yıl 2008,
Cilt: 8 Sayı: 1, 259 - 268, 01.06.2008
Öz
Anahtar Kelimeler
Kaynakça
- J.K. Zhou, differential transformation and its Aplication for Electricial Circuits, Huazhong University Pres,Wuhan, Chine, 1986.
- A. K. SEN, An Application of the Adomian Decomposition Method to the Transiet Bhavior of a Model Biochemical Reaction, J. Math. Anal. Appl. 131 (1986), 232-245.
- A. K. SEN, On the Time Course of the Reversible Michaelis–Menten Reaction, J. Theor. Biol. 135 (1988),483-493.
- G. Frank., MAPLE V:CRC Press Inc., 2000 Corporate Blvd., N.W., Boca Raton, Florida 33431, (1996).
- S.H. Ho, C.K. Chen, Analysis of general elastically end restrained non- uniform beams using differential transform, Appl. Math. Mod., 22, (1998), 219-234.
- C.K.Chen, S.H. Ho, Solving partial differential equations by two dimensional differential transform method, Applied Mathematics and Computation, 106, (1999), 171-179.
- M.J. Jang, C.L. Chen,Y.C. Liy, Two-dimonsional differential transform for Computation, 121, (2001), 261-270. equations, Applied Mathematics and
- I.H.Abdel-Halim Hassan, On solving same eigenvalue problems by using a differential transformation, Applied Mathematics and Computation, 127, (2002), 1-22.
- I.H.Abdel-Halim Hassan, Different applications for the differential transformation in the differential equations, Applied Mathematics and Computation, 129, (2002), 183-201.
- F.Ayaz, On the two-dimensional differential transform method, Applied Mathematics and Computation, 143, (2003), 361-374.
- F. Ayaz, Solutions of the systems of differential equations by differential transform method, Applied Mathematics and Computation, 147, (2004), 547-567.
- C. K Chen, S.P. Ju, Application of differential transformation to transient advective-dispersive transport equation, Applied Mathematics and Computation, 155, (2004), 25-38
- F. Ayaz, Applications of differential transform method to differential– algebraic equations, Applied Mathematics and Computation, 152, (2004), 649-657.
- A. Arikoglu, İ. Ozkol, Solution of differential-difference equations by using differential transform method, Applied Mathematics and Computation, 181, (2006), 153-162.
- H. Liu, Y. Song, Differential transform method applied to high index differential–algebraic equations, Applied Mathematics and Computation, 184, (2007), 748-753.
Yıl 2008,
Cilt: 8 Sayı: 1, 259 - 268, 01.06.2008
Öz
Bu makalede, 2 indexli diferensiyel-cebirsel denklemleri çözmek için diferensiyel dönüşüm yöntemini kullandık. İki çeşit diferensiyel-cebirsel denklem gözönüne alındı ve nümerik çözümleri bulundu. Daha sonar numeric çözümlerle analitik çözümler karşılaştırıldı. Bizim ele aldığımız örneklerde diferensiyel dönüşüm yönteminin diferensiyel-cebirsel denklemlerin çözümünde güçlü olduğunu gördük. Ele aldığımız problemleri çözmek için MAPLE bilgisayar yöntemini kullandık [4]
Kaynakça
- J.K. Zhou, differential transformation and its Aplication for Electricial Circuits, Huazhong University Pres,Wuhan, Chine, 1986.
- A. K. SEN, An Application of the Adomian Decomposition Method to the Transiet Bhavior of a Model Biochemical Reaction, J. Math. Anal. Appl. 131 (1986), 232-245.
- A. K. SEN, On the Time Course of the Reversible Michaelis–Menten Reaction, J. Theor. Biol. 135 (1988),483-493.
- G. Frank., MAPLE V:CRC Press Inc., 2000 Corporate Blvd., N.W., Boca Raton, Florida 33431, (1996).
- S.H. Ho, C.K. Chen, Analysis of general elastically end restrained non- uniform beams using differential transform, Appl. Math. Mod., 22, (1998), 219-234.
- C.K.Chen, S.H. Ho, Solving partial differential equations by two dimensional differential transform method, Applied Mathematics and Computation, 106, (1999), 171-179.
- M.J. Jang, C.L. Chen,Y.C. Liy, Two-dimonsional differential transform for Computation, 121, (2001), 261-270. equations, Applied Mathematics and
- I.H.Abdel-Halim Hassan, On solving same eigenvalue problems by using a differential transformation, Applied Mathematics and Computation, 127, (2002), 1-22.
- I.H.Abdel-Halim Hassan, Different applications for the differential transformation in the differential equations, Applied Mathematics and Computation, 129, (2002), 183-201.
- F.Ayaz, On the two-dimensional differential transform method, Applied Mathematics and Computation, 143, (2003), 361-374.
- F. Ayaz, Solutions of the systems of differential equations by differential transform method, Applied Mathematics and Computation, 147, (2004), 547-567.
- C. K Chen, S.P. Ju, Application of differential transformation to transient advective-dispersive transport equation, Applied Mathematics and Computation, 155, (2004), 25-38
- F. Ayaz, Applications of differential transform method to differential– algebraic equations, Applied Mathematics and Computation, 152, (2004), 649-657.
- A. Arikoglu, İ. Ozkol, Solution of differential-difference equations by using differential transform method, Applied Mathematics and Computation, 181, (2006), 153-162.
- H. Liu, Y. Song, Differential transform method applied to high index differential–algebraic equations, Applied Mathematics and Computation, 184, (2007), 748-753.
Toplam 15 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2008 |
| Gönderilme Tarihi | 8 Ağustos 2015 |
| Yayımlandığı Sayı | Yıl 2008 Cilt: 8 Sayı: 1 |
Kaynak Göster
Bu eser Creative Commons Atıf-GayriTicari 4.0 Uluslararası Lisansı ile lisanslanmıştır.