The aim of this book is to present a method for solving high order ordinary differential equations with two point boundary condition of the different kind, we propose semi-analytic technique using two-point osculatory interpolation to construct polynomial solution. The original problem is concerned using two-points osculatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0 , 1] . Also, we discussion the existence and uniqueness of solutions and many examples are presented to demonstrate the applicability, accuracy and efficiency of the methods by compared with conventional method .i.e. VIDM , Septic B-Spline , , NIM , HPM, Haar wavelets on one hand and to confirm the order convergence on the other hand . Finally , we discuss an error estimation procedure for the global error, we present a new, carefully designed modification of this error estimate .
The purpose of this research is to implement the orthogonal polynomials associated with operational matrices to get the approximate solutions for solving two-dimensional elliptic partial differential equations (E-PDEs) with mixed boundary conditions. The orthogonal polynomials are based on the Standard polynomial (
In this investigation, Rayleigh–Ritz method is used to calculate the natural frequencies of rectangular isotropic and laminated symmetric and anti-symmetric cross and angle ply composite plate with general elastic supports along its edges. Each of the admissible functions here is composed of a trigonometric function and an arbitrary continuous function that is introduced to ensure the sufficient smoothness of the so-called residual displacement function at the edges. Perhaps more importantly, this study has developed a general approach for deriving a complete set of admissible functions that can be applied to various boundary conditions. Several numerical examples are studied to demonstrate the accuracy and convergence of the current s
... Show MoreOscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients. Some sufficient conditions are established so that every solution of eq.(1.1) oscillate. Generalizing of some results in [4] and [5] are given. Examples are given to illustrated our main results.
This study focuses on studying an oscillation of a second-order delay differential equation. Start work, the equation is introduced here with adequate provisions. All the previous is braced by theorems and examplesthat interpret the applicability and the firmness of the acquired provisions
This paper is illustrates the sufficient conditions of the uniformly asymptotically stable and the bounded of the zero solution of fifth order nonlinear differential equation with a variable delay τ(t)
Background: Excessive crying in early
infancy is a common condition that causes a
great deal of concern to the parents and
physician.
Objective: The aim of this study is to find
the underlying etiology of excessive crying in
infancy and to determine how the history,
physical examination, and laboratory
investigations contribute to the final diagnosis.
Method: A prospective study done on 150
afebrile infants less than 4 months of age
visited Al-Elwia hospital for children
complaining of excessive crying of more than
two hours.
The study done over a one year period from
the first of January 2009 to the end of
December 2009.
All febrile infants and those with acute illness
preceding the
Over the past ten years, tumor markers have played an increasingly important role in clinicaloncology. This trend is expected to continue as technology advances and our knowledge of thehuman body and disease processes grows. In the treatment of cancer, tumor markers are widelyused for a variety of purposes, including screening, selecting a management strategy,determining the prognosis, and post-therapy follow-up. A comprehensive of the fundamentalsof pathophysiology and identification strategies for each specific malignancy is necessary fortheir prudent application in clinical practice. Oncology's use of cancer biomarkers hastransformed the way that cancer is treated, and led to notable improvements in patient outcomesand cancer tre
... Show Morein this paper fourth order kutta method has been used to find the numerical solution for different types of first liner