Sayısal İntegral Metodu ile Singüler Pertürbe Multi-Point Sınır Değer Problemlerinin Sayısal Çözümü

Yıl 2020, Cilt: 9 Sayı: 1, 157 - 167, 13.03.2020

Derya Arslan

https://doi.org/10.17798/bitlisfen.662732

Cited By: 1

Öz

Bu çalışmada, sağ ya da sol sınır katlarına sahip singüler pertürbe multi-point sınır değer probleminin çözümü için düzgün şebeke üzerinde sayısal integral metodu sunulur. Bu metodun yanında yamuk metodu, sonlu fark metodu ve Thomas algoritmasından yararlanılır. Önerilen yöntemin kararlılığı ve yakınsaklığı analiz edilir. Son olarak da, yöntemin doğruluğunu ve verimliliğini gösteren örnek uygulamalar yapılır.

Anahtar Kelimeler

Singüler Pertürbe Multi-point Sınır Değer Problemi, Sayısal İntegral Metodu, Yamuk Metodu

Kaynakça

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