Predictor-corrector (PC) methods for the numerical solution of stiff ODEs can be extended to include the second derivative of the solution. In this paper, we consider second derivative PC methods with the three-step second derivative Adams-Bashforth as predictor and two-step second derivative Adams-Moulton as corrector which both methods have order six. Implementation of the proposed PC method ...

The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of  Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to...

We complete the study of Manin triples of real simple Lie algebras. In the Part 2 of the article we classify the Manin triples (g(R), W, g(R) ⊕ g(R)) (case 2 of the doubles) up to weak and gauge equivalence. First we recall the main definitions of the Part 1. Definition 1. Let g 1 , g 2 , d be Lie algebras over a field K and let Q be a symmetric nondegenerate bilinear form on d. A triple (g 1 ,...

Bu çalışmada7-hidroksi-8-[4-metil-piperazin-1-yl)metil]2H-kromen-2-on molekülünün molekül yoğunluk fonksiyonel kuramı (YFK), B3LYP modeli ve 6-311G(d,p) baz seti kullanılarak optimize edilmiştir. Optimize edilen molekülün kimyasal aktivite parametreleri olan sertlik yumuşaklık analizleri, moleküler elektrostatik potansiyeli (MEP) Fukui fonksiyon analizleri gerçekleştirildi. İkinci dereceden lin...

a green and efficient one-pot, four-component synthesis of 6-amino-4-aryl-3-methyl-2,4-dihydropyrano[2,3- c ]pyrazo-carbonitrile derivatives catalyzed by borax in water is described. this method provides several advantages such as environmental friendliness, shorter reaction time, excellent yields, and simple workup procedure. the in vitro cytotoxic activity of the synthesized test compounds wa...