Parçalı Düzgün Şebekede Singüler Pertürbe Özellikli Lineer Olmayan Reaksiyon Difüzyon Problemleri İçin Nümerik Çözümler

Year 2019, , 425 - 436, 24.03.2019

Hakkı Duru , Baransel Güneş

https://doi.org/10.18185/erzifbed.479466

An Erratum to this article was published on March 31, 2023. https://dergipark.org.tr/en/pub/erzifbed/issue/76458/1228865

Abstract

Bu
çalışmada singüler pertürbe özellikli lineer olmayan reaksiyon-difüzyon sınır
değer problemi ele alınmıştır. Kalan terimi integral biçiminde olan ve baz
fonksiyonu içeren interpolasyon kuadratür kuralları kullanılarak parçalı düzgün
şebeke üzerinde fark şeması kurulmuştur. Sunulan metodun kararlı olduğu
gösterilmiş ve yakınsaklık analizi yapılmıştır. Kurulan metodun yaklaşık çözüme
düzgün yakınsadığı gösterilmiştir. Nümerik sonuçların teorik sonuçları
desteklediği örnek üzerinde gösterilmiştir.

Keywords

Diferansiyel denklem, Fark şeması, Parçalı düzgün şebeke, Singüler pertürbasyon

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