Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions

Yıl 2018, Cilt: 39 Sayı: 4, 842 - 863, 24.12.2018

Abdullah Ergün

https://doi.org/10.17776/csj.443898

Cited By: 4

Öz

In this study, the diffusion operator with discontinuity function and
the jump conditions is considered. Under certain initial and discontinuity
conditions, integral equations have been derived for the solutions. Integral
representations, which is too useful for this type equation, have been
presented.

Anahtar Kelimeler

Diffusion Operator, Jump condition, Sturm-Liouville Equation

Sıçrama Şartlarına Sahip Süreksiz Difüzyon Operatörünün Çözümleri için Integral Gösterilim

Öz

Bu makalede süreksizlik fonksiyonuna ve sıçrama şartlarına sahip
difüzyon operatörü incelenmiştir. Belirli başlangıç ve süreksizlik koşulları
altında çözümler için integral denklemler üretilmiştir. Bu tip difüzyon
operatörler için oldukça kullanışlı olan integral gösterilimler elde
edilmiştir.

Anahtar Kelimeler

Difüzyon Operatör, Sıçrama şartı, Sturm- Liouville denklemi

Kaynakça

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