Browse our published research articles
In this paper, we establish the relationship between Opial-type and Hardy-type integral inequalities which extend Anthonio and Rauf Opial-type inequalities for convex function.
In this paper, we prove the existence of an extremal functionthat minorizes all admissible functions with zero supremum ona non-toric Fano manifold, namely the complex GrassmannianG2,4(C) blown up along P1(C). The functions considered areinvariant under a suitably chosen automorphism group. Thislower bound allows us to calculate the Tian invariant for this classof functions on these manifolds. Mor...
Fixed point theory in generalized metric spaces has received considerable attention due to its wide applicability in nonlinear analysis. In this work, we introduce a new class of nonlinear contractions, termed qpb–Condensed Ciri´c–Reich–Rus type ˇ contractions (qpb − CCRR), defined on complete quasi-partial b-metric spaces. The proposed contraction incorporates asymmetric self-distances and the co...
This paper present a multiple form of Fourier regression analysis.This model consist of one periodic response variable and severalindependent variables decompose into periodic componentsin order to have an uncorrelated predictors series. Ordinaryleast square and maximum likelihood methods of obtaining theparameters of the model was proved, the estimators are shownto be unbiased, variance of the es...
This paper derives the weighted energy equality for the linear nonautonomous stokes problem. This is a part of the process of solving Navier-Stokes equations to exclude the pressure term before it is determined in which function space solution (u,p) lies. A correction term vφ is introduced when the pressure term is excluded in the Navier-Stokes system and the energy estimate is computed; because t...
In this paper, a numerical method for the solution ofIntegro-differential equations is discussed. The variationaliteration method (VIM), which is a modified general Lagrange multiplier method is employed to solve differenttypes of integro-differential equations. The results revealedthat the VIM is very effective, simple and is of high accuracy for solving higher-order integro-differential equation...
In this paper, a four-step block Method for numerical solution of second order differential equations using Legendre polynomials as the basic function is developed. Interpolation and collocation procedures are used by choosing interpolation points at s = 2 steps points using power series, while collocation points at r = k step points, using a combination of power series and perturbation term gotte...
In this work, the performances of maximum likelihood (ML) and restricted maximum likelihood (REML) estimation of linear mixed effects models were examined. The behaviors andProperties of the ML and REML methods of estimating the variance-covariance components in linear mixed-effects models were studied via Monte-Carlo experiment. Results revealedthat both estimation techniques yielded the same est...
In this articles, influence of variable viscosity and slip velocity on unsteady MHD flow of blood through a stenosed artery are investigated, The blood viscosity is assumed to varying radially with hematocrit throughout the region of the artery. The analytical expressions for the flow characteristics are obtained using Galerkin’s and Fourth order Runge-Kutta methods. It was revealed from the resul...
We studied the finite element analysis of the linearized Stochastic Cahn-Hilliard equation. The Galerkin finite element method was used to discretize the given equation. Based on the finiteelements, the completely discrete approximation scheme was formulated by applying the backward Euler difference approximation in time. The completely discrete solution was interpreted.in terms of analytic semigr...
