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...

Generalized Derivative Operator (GDO) is one of the first-order derivative filters that could control derivative’s direction by modifying value azimuth () and dip parameters. This study aims to examine those GDO parameters on synthetic Bouguer anomaly apply them field data Silver Peak geothermal identify geological structures. We use Python programs conduct other operators such as horizontal gr...

an_eul is a new automatic method for simultaneous approximation of location, depth, and structural index (geometry) of magnetic sources. in the 2d case analytic signal is defined as a conjugate function whose imaginary part is the hilbert transform of its real part. since the first vertical derivative of the magnetic field is the hilbert transform of its horizontal derivative, vertical and hori...

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 ,...

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...

a mixture of acetaminophen, diphenhydramine hydrochloride and pseudoephedrine hydrochloride is used for the symptomatic treatment of common cold. in this study, a derivative spectrophotometric method based on zero-crossing technique was proposed for simultaneous determination of acetaminophen, diphenhydramine hydrochloride and pseudoephedrine hydrochloride. determination of these drugs was perf...

To identify preoperative factors which influence the effectiveness of strabismus surgery in adults, we retrospectively reviewed the records of 179 patients > 15 years old (131 with exotropia, 48 with esotropia) who had had combined recession and resection surgery for correction of horizontal strabismus. Eighteen preoperative variables were evaluated; those with significant influence on the surg...

We develop a non-anticipative calculus for functionals of a continuous semimartingale, using an extension of the Ito formula to path-dependent functionals which possess certain directional derivatives. The construction is based on a pathwise derivative, introduced by B Dupire, for functionals on the space of right-continuous functions with left limits. We show that this functional derivative ad...

Direct numerical simulations were carried out on grid turbulence with a mean scalar gradient to reveal interscale transport. Two-point statistical analysis using the structure function and scale-by-scale equation was performed. Results show that third-order becomes negative at large scales in upstream region (inverse cascade occurs), while such distributions do not appear for energy. This pheno...