Solution of Second Kind Volterra Integral Equations Using Non-Polynomial Spline Functions

Muna M. Mustafa; Sarah H. Harbi

doi:10.21123/bsj.2014.11.2.207-210

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Publication Date

Sun Jun 01 2014

Journal Name

Baghdad Science Journal

Volume

11

Issue Number

2

DOI

10.21123/bsj.2014.11.2.207-210

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Solution of Second Kind Volterra Integral Equations Using Non-Polynomial Spline Functions

Volterra integral equation

non-polynomial spline

Muna M. Mustafa

Sarah H. Harbi

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In this paper we use non-polynomial spline functions to develop numerical methods to approximate the solution of 2nd kind Volterra integral equations. Numerical examples are presented to illustrate the applications of these method, and to compare the computed results with other known methods.

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Sat Dec 31 2022

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Ammar Mohammd Ali

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Sun Mar 06 2011

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Baghdad Science Journal

The Composition operator induced by a polynomial of degree n

Composition operator: Normality : Unitary operator

Azhar Abbas

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In this paper, we characterize normal composition operators induced by holomorphic self-map , when and .Moreover, we study other related classes of operators, and then we generalize these results to polynomials of degree n.

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Sun Jan 01 2017

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Ieee Access

On Computational Aspects of Tchebichef Polynomials for Higher Polynomial Order

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Abd Rahman

Syed Abdul Rahman

Basheera M.

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Sat Feb 19 2022

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Advances In Continuous And Discrete Models

Geometric properties of the meromorphic functions class through special functions associated with a linear operator

Meromorphic function

Convolution product

Hurwitz–Lerch zeta function

Differential first-order subordination

Firas Ghanim

Hiba Fawzi

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Abstract<p>According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the said techniques to study a new linear complex operator connecting an incomplete beta function and a Hurwitz–Lerch zeta function of certain meromorphic functions. Furthermore, we employ a method based on the first-order differential subordination to derive new and better differential complex inequalities, namely differential subordinations.</p>

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Publication Date

Tue Sep 01 2020

Journal Name

Baghdad Science Journal

Best Multiplier Approximation of Unbounded Periodic Functions in L_(p,∅_n ) (B),B=[0,2π] Using Discrete Linear Positive Operators

Multiplier convergence

Multiplier integral

Multiplier modulus.

Saheb

Naseif

Ali Hussein

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The purpose of this paper is to find the best multiplier approximation of unbounded functions in –space by using some discrete linear positive operators. Also we will estimate the degree of the best multiplier approximation in term of modulus of continuity and the averaged modulus.

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Publication Date

Sun Oct 02 2022

Journal Name

Al-manhaj

Mathematical Statistics - Second Edition

Mathematical Expectation

Moment Generating Function

Cumulative Distribution Function

Probability Mass Function

Probability Density Function

Discrete Distributions

Continuous Distributions

Joint distributions

Marginal Distributions

Conditional Distributions

Transformations

Order Statistics.

Omar Abdulmohsin

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This Book is the second edition that intended to be textbook studied for undergraduate/ postgraduate course in mathematical statistics. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces events and probability review. Chapter Two devotes to random variables in their two types: discrete and continuous with definitions of probability mass function, probability density function and cumulative distribution function as well. Chapter Three discusses mathematical expectation with its special types such as: moments, moment generating function and other related topics. Chapter Four deals with some special discrete distributions: (Discrete Uniform, Bernoulli, Binomial, Poisson, Geometric, Neg

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Publication Date

Thu Feb 15 2024

Journal Name

Al-manhaj Library

Multivariate Analysis - Second Edition

Multivariate Normal Distribution

mean vector estimation

covariance matrix estimation

factorial analysis

principal components analysis

discriminant analysis

cluster analysis.

Omar Abdulmohsin

Asmaa

Nabila

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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters (as done in the first edition 2019). Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. While the revised new chapters have been added (as the curr

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Publication Date

Thu Feb 15 2024

Journal Name

Al-manhaj Library

Multivariate Analysis (Second Edition)

Multivariate Normal Distribution

mean vector estimation

covariance matrix estimation

factorial analysis

principal components analysis

discriminant analysis

cluster analysis

Omar Abdulmohsen

Asmma Ghalib

Nabila

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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters (as done in the first edition 2019). Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. While the revised new chapters have been added (as the curr

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Wed Dec 30 2020

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Iraqi Journal Of Chemical And Petroleum Engineering

Elimination of Congo Red Dyes From Aqueous Solution Using Eichhornia Crassipes

anionic dye

adsorption

desorption

Eichhornia crassipes

endothermic

Hamza Qassim

Ahmed A

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Water hyacinth (Eichhornia crassipes) is a free-floating plant, growing plentifully in the tropical water bodies. It is being speculated that the large biomass can be used in wastewater treatment, heavy steel and dye remediation, as a substrate for bioethanol and biogas production, electrical energy generation, industrial uses, human food and antioxidants, medicines, feed, agriculture, and sustainable improvement. In this work, the adsorption of Congo Red (CR) from aqueous solution onto EC biomass was investigated through a series of batch experiments. The effects of operating parameters such as pH (3-9), dosage (0.1-0.9 g. /100 ml), agitated velocity (100-300), size particle (88-353μm), temperature (10-50˚C), initial dye

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Fri Oct 02 2020

Journal Name

International Journal Of Pharmaceutical Research

Corrosion Protection of Carbon Steel in Saline Solution Using Plant Extracts

Z.W.

E. H.

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