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CEBİRSEL KATSAYILI HOMOJEN DİFERANSİYEL DENKLEMLERİN FARK DENKLEMLERİ İLE ÇÖZÜMÜ

SOLUTION OF HOMEGENEOUS DIFFERANTIAL EQUATIONS WITH ALGEBRAIC COEFFICIENTS BY FINITE DIFFERENCE EQUATIONS

Journal Name:

  • Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi

Publication Year:

  • 2004

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
There is no a general method for evaluating the implicit solutions of homogeneous differential equations since they generally have individual properties. In this study, the implicit solutions for some types of these differential equations are obtained by using finite difference equations. The implicit solution obtained by reducing some differential equations with algebraic coefficient to finite difference equations with constant coefficient is also considered and numerical examples are presented.
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Abstract (Original Language): 
Genel olarak, değişken katsayılı homojen diferansiyel denklemler, kendine has özellikler içerdiklerinden kapalı çözümlerinin elde edilebilmeleri için genel bir yöntem yoktur. Bu çalışmada bu tür diferansiyel denklemlerin bazı tiplerinin kapalı çözümleri fark denklemleri kullanılarak elde edilmiştir. Ayrıca çalışmada bazı cebirsel katsayılı diferansiyel denklemlerin sabit katsayılı fark denklemine indirgenmesi halinde elde edilen kapalı çözümü üzerinde durulmuş ve sayısal örnekler sunulmuştur.
FULL TEXT (PDF): 
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  • 1
129-138
  • Turkish

REFERENCES

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