Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials

doi:10.21123/bsj.2020.17.4.1241

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Publication Date

Tue Dec 01 2020

Journal Name

Baghdad Science Journal

Volume

17

Issue Number

4

DOI

10.21123/bsj.2020.17.4.1241

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Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials

Approximate Numerical Solutions

Linear Volterra Integral Equation

Touchard Polynomials.

Jalil Talab Abdullah

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In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation. Illustrative examples show the efficiency of the presented method, and the approximate numerical (AN) solutions are compared with one another method in some examples. All calculations and graphs are performed by program MATLAB2018b.

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Publication Date

Thu Oct 01 2020

Journal Name

Alexandria Engineering Journal

The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems

Ghada H.

M.A.

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Thu Oct 01 2020

Journal Name

Alexandria Engineering Journal

The operational matrix of Legendre polynomials for solving nonlinear thin film flow problems

Ghada H.

M.A.

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Mon Jan 13 2020

Journal Name

Day 3 Wed, January 15, 2020

Numerical Simulation of Gas Lift Optimization Using Genetic Algorithm for a Middle East Oil Field: Feasibility Study

Constrained optimization

Gas lifts

Gases

Gasoline

Genetic algorithms

Life cycle

Natural gas fields

Numerical models

Offshore oil well production

Oil fields

Mustafa

Mofazzal

Omar

Akim

Abbas

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<p>Gas-lift technique plays an important role in sustaining oil production, especially from a mature field when the reservoirs’ natural energy becomes insufficient. However, optimally allocation of the gas injection rate in a large field through its gas-lift network system towards maximization of oil production rate is a challenging task. The conventional gas-lift optimization problems may become inefficient and incapable of modelling the gas-lift optimization in a large network system with problems associated with multi-objective, multi-constrained, and limited gas injection rate. The key objective of this study is to assess the feasibility of utilizing the Genetic Algorithm (GA) technique to optimize t</p> ... Show More

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Fast Recursive Computation of Krawtchouk Polynomials

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Empirical Equations for Analysis of Two-Way Reinforced Concrete Slabs

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Ali Hussein Ali

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There are many different methods for analysis of two-way reinforced concrete slabs. The most efficient methods depend on using certain factors given in different codes of reinforced concrete design. The other ways of analysis of two-way slabs are the direct design method and the equivalent frame method. But these methods usually need a long time for analysis of the slabs.

In this paper, a new simple method has been developed to analyze the two-way slabs by using simple empirical formulae, and the results of final analysis of some examples have been compared with other different methods given in different codes of practice.

The comparison proof that this simple proposed method gives good results and it can be used in analy

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Sat Dec 01 2018

Journal Name

Ain Shams Engineering Journal

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Mon Sep 04 2023

Journal Name

2023 International Conference On Advanced Mechatronic Systems (icamechs)

Performance Analysis of Finite-Time Generalized Proportional Integral Observer for Uncertain Brunovsky Systems

Kamal

Raja Fawad

Zhenwei

Zhihong

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This paper proposes a novel finite-time generalized proportional integral observer (FTGPIO) based a sliding mode control (SMC) scheme for the tracking control problem of high order uncertain systems subject to fast time-varying disturbances. For this purpose, the construction of the controller consists of two consecutive steps. First, the novel FTGPIO is designed to observe unmeasurable plant dynamics states and disturbance with its higher time derivatives in finite time rather than infinite time as in the standard GPIO. In the FTGPO estimator, the finite time convergence rate of estimations is well achieved, whereas the convergence rate of estimations by classical GPIO is asymptotic and slow. Secondly, on the basis of the finite and fast e

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Publication Date

Thu Apr 30 2020

Journal Name

Journal Of Economics And Administrative Sciences

Estimate the Partial Linear Model Using Wavelet and Kernel Smoothers

إنموذج الانحدار الخطي الجزئي

التمهيد المويجي

التمهيد الخطي الموضعي.

Partial Linear Regression Models

Wavelet Smoother

Local Linear Smoother.

مناف يوسف

يونس عامر

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This article aims to estimate the partially linear model by using two methods, which are the Wavelet and Kernel Smoothers. Simulation experiments are used to study the small sample behavior depending on different functions, sample sizes, and variances. Results explained that the wavelet smoother is the best depending on the mean average squares error criterion for all cases that used.

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Publication Date

Wed Mar 10 2021

Journal Name

Baghdad Science Journal

linear equivalence determination of key-stream sequence using Z-Transform

Omar Mohammed

Shymaa Hussain

Shazad Shawki Ahmde

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the research ptesents a proposed method to compare or determine the linear equivalence of the key-stream from linear or nonlinear key-stream

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