TY  - JOUR
T1  - Step Size Strategies Based On Error Analysis For The Linear Systems
TT  - Lineer Sistemler İçin Hata Analizi Tabanlı Adım Genişliği Stratejileri
AU  - Çelik Kızılkan, Gülnur
AU  - Aydın, Kemal
PY  - 2011
DA  - December
JF  - Süleyman Demirel University Faculty of Arts and Science Journal of Science
PB  - Süleyman Demirel University
WT  - DergiPark
SN  - 1306-7575
SP  - 149
EP  - 159
VL  - 6
IS  - 2
LA  - en
AB  - In this paper, we have obtained the step size strategies for numerical integration of the linear differential equation systems. We have given the algorithms which calculate step sizes based on the given strategies and numerical solutions. These strategies and algorithms are generalized to systems by modifying the algorithm and strategy in [1]. We have applied our strategies to Cauchy problem with orderm. We have also give the numerical examples.
KW  - Variable step size
KW  - error analysis
KW  - linear systems
KW  - numerical integration
KW  - step size strategy
N2  - Bu çalışmada, lineer diferensiyel denklem sistemlerinin nümerik integrasyonu için adım genişliği stratejileri elde edilmiştir. Verilen stratejilere uygun olarak adım genişlikleri ve nümerik çözümler hesaplayan algoritmalar verilmiştir. Bu strateji ve algoritmalar [1] de verilen strateji ve algoritmanın değiştirilerek sistemlere genişletilmesidir. Verilen stratejiler m. mertebeden Cauchy problemine uygulanmıştır. Ayrıca, sonuçların doğruluğunu göstermek için nümerik örnekler de verilmiştir.
CR  - [1] Çelik Kızılkan G., 2004. On the finding of step size in the numerical integration of initial value
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frequency estimation, Signal Processing, 90: 2800-2805.
CR  - [3] Çelik Kızılkan G., Aydın K., 2005. Step Size Strategy Based on Error Analysis, Selcuk University
Science and Art Faculty Journal of Science, 25: 79-86 (in Turkish).
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UR  - https://dergipark.org.tr/en/pub/sdufeffd/issue//134731
L1  - https://dergipark.org.tr/en/download/article-file/116348
ER  -