İkinci Tip Lineer Volterra-Stieltjes İntegral Denkleminin Genelleşmiş Orta Nokta Kuralı ile Cözümü
Bu çalışmada İkinci türden lineer Volterra –Stieljes integral denklemi için orta nokta kuralı kullanılarak, sayısal çözüm kurulmuş ve incelenmiştir. Ayrıca hata tahmini ile ilgili koşullar belirlenmiş ve ispat edilmiştir. Önerilen yöntemle bir örnek çözülmüştür
Anahtar Kelimeler:
lineer Volterra –Stieljes integral denklemi, İkinci türden lineer integral denklemi, geneleştirilmiş orta nokta kuralı, hata tahmini
Solution Of Linear Volterra – Stieltjes Integral Equation Of The Second Kind Using Generalized Midpoint Rule
In this study, the numerical solution of linear Volterra – Stieltjes equations of the second kind by using the generalized midpoint rule is established and investigated. The conditions on estimation of the error are determined and proved. One example is solved employing the proposed method.
Keywords:
Volterra – Stieltjes integral equation, linear integral equation of the second kind, generalized midpoint rule, error estimation.,
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- [7] Asanov A., (1998) Regularization, Uniqueness and Existence of Solutions of Volterra Equations of the First Kind, VSP, Utrecht, The Netherlands, 272
- [8] Asanov A., (2001) The derivative of a function by means of an increasing function, Manas Journal of Engineering, No 1, 18-67 (in Russian)
- [9] Asanov A., (2002) Volterra – Stieltjes Integral Equations of the Second and First Kind Manas Journal of Engineering, No 2, 79-95
- ISSN: 1694-7398
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2001
- Yayıncı: KIRGIZİSTAN-TÜRKİYE MANAS ÜNİVERSİTESİ
Sayıdaki Diğer Makaleler
Maksimumlu Fark Denklem Sisteminin Çözümleri
İkinci Tip Lineer Volterra-Stieltjes İntegral Denkleminin Genelleşmiş Orta Nokta Kuralı ile Cözümü
A. ASANOV, E. HAZAR, M. Abdujabbarov
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