Under the same conditions, we propose extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used standard Taylor series approach, which requires derivatives up to seven. In contrast previous researchers, our theorems only demand first derivative. addition, formulas determining region uniqueness solution, radii, and erro...

the aim of this paper is to present a new numerical method for solving the bagley-torvik equation. this equation has an important role in fractional calculus. the fractional derivatives are described based on the caputo sense. some properties of the sinc functions required for our subsequentdevelopment are given and are utilized to reduce the computation of solution of the bagley-torvik equatio...

Variable-step (VS) second derivative $k$-step $3$-stage Hermite--Birkhoff--Obrechkoff (HBO) methods of order $p=(k+3)$, denoted by HBO$(p)$ are constructed as a combination of linear $k$-step methods of order $(p-2)$ and a second derivative two-step diagonally implicit $3$-stage Hermite--Birkhoff method of order 5 (DIHB5) for solving stiff ordinary differential equations. The main reason for co...

The controlling kinetics of the water solubility of two synthesized mono azo naphthalimide based disperse dyestuffs in the presence of two different dispersing agents namely Irgasol DAM and lyoprint EV agents at various temperatures were investigated. An exponential rate equation was found to describe the dissolution process. The addition of Irgasol DAM and Lyoprint EV dispersing agents increas...

background: the aim of this clinical trial study was to clinically evaluate the use of enamel matrix protein derivative combined with the coronally positioned fl ap to treat gingival recession compared to the subepithelial connective tissue graft by a new method to obtain denuded root surface area. materials and methods: thirteen patients, each with two or more similar bilateral miller class i ...

In this paper, the jump conditions for the normal derivative of the pressure have been derived for two-phase Stokes (and Navier-Stokes) equations with discontinuous viscosity and singular sources in two and three dimensions. While different jump conditions for the pressure and the velocity can be found in the literature, the jump condition of the normal derivative of the pressure is new. The de...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...