Volterra integral denklemlerinin ve Volterra integro-diferensiyel denklemlerinin G_r-dönüşümü kullanılarak çözümü

Yıl 2025, Cilt: 6 Sayı: 1, 102 - 112, 29.05.2025

Adil Mısır , İslam Alsalih

https://doi.org/10.63716/guffd.1548492

Öz

Volterra integral denklemleri ve Volterra integro-diferensiyel denklemleri, birçok farklı mühendislik ve bilimsel problemin oldukça genel temsilleri olarak karşımıza çıkmaktadır. Bu makalede yazarlar, lineer Volterra integral denklemlerini ve lineer Volterra integro-diferensiyel denklemlerini çözmek için yeni geliştirilen ve G_r-dönüşümü olarak adlandırılan bir hesaplama algoritmasını tanıtmaktadırlar. Daha sonra birkaç örnekle G_r-dönüşümünün her iki denklem türünü çözmedeki verimliliğini göstermektedirler.

Anahtar Kelimeler

Volterra integral denklemleri , Volterra integro-differensiyel denklemleri , G_r-dönüşümü

Kaynakça

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