Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials

Jalil Talab Abdullah

doi:10.21123/bsj.2021.18.2.0330

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Publication Date

Tue Jun 01 2021

Journal Name

Baghdad Science Journal

Volume

18

Issue Number

2

DOI

10.21123/bsj.2021.18.2.0330

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Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials

Keywords: Linear Fredholm Integro-Differential Equation

Touchard Polynomials.

Jalil Talab Abdullah

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A new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of the presented method was given and the applicability was proved by some numerical examples. The results obtained in this method are compared with other known results.

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Publication Date

Tue Mar 30 2021

Journal Name

Journal Of Interdisciplinary Mathematics

Computations for the special linear group (2, 49)

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Hadeel Hussein

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Solving Fractional Damped Burgers' Equation Approximately by Using The Sumudu Transform (ST) Method

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Nadia M. J.

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Here, we found an estimation of best approximation of unbounded functions which satisfied weighted Lipschitz condition with respect to convex polynomial by means of weighted Totik-Ditzian modulus of continuity

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The Modified Quadrature Method for solving Volterra Linear Integral Equations

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Sami Abdulla

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In this paper the modified trapezoidal rule is presented for solving Volterra linear Integral Equations (V.I.E) of the second kind and we noticed that this procedure is effective in solving the equations. Two examples are given with their comparison tables to answer the validity of the procedure.

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Publication Date

Mon Jan 04 2021

Journal Name

Iium Engineering Journal

RELIABLE ITERATIVE METHODS FOR SOLVING 1D, 2D AND 3D FISHER’S EQUATION

Othman Mahdi

Majeed

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In the present paper, three reliable iterative methods are given and implemented to solve the 1D, 2D and 3D Fisher’s equation. Daftardar-Jafari method (DJM), Temimi-Ansari method (TAM) and Banach contraction method (BCM) are applied to get the exact and numerical solutions for Fisher's equations. The reliable iterative methods are characterized by many advantages, such as being free of derivatives, overcoming the difficulty arising when calculating the Adomian polynomial boundaries to deal with nonlinear terms in the Adomian decomposition method (ADM), does not request to calculate Lagrange multiplier as in the Variational iteration method (VIM) and there is no need to create a homotopy like in the Homotopy perturbation method (H

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Numerical Modeling of Renal Ionic Equilibrium for Implantable Kidney Applications

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Ayham

Ebrahim

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The human kidney is one of the most important organs in the human body; it performs many functions
and has a great impact on the work of the rest of the organs. Among the most important possible treatments is
dialysis, which works as an external artificial kidney, and several studies have worked to enhance the
mechanism of dialysate flow and improve the permeability of its membrane. This study introduces a new
numerical model based on previous research discussing the variations in the concentrations of sodium,
potassium, and urea in the extracellular area in the blood during hemodialysis. We simulated the differential
equations related to mass transfer diffusion and we developed the model in MATLAB Simu

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Publication Date

Sun Sep 01 2019

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The most popular medium that being used by people on the internet nowadays is video streaming. Nevertheless, streaming a video consumes much of the internet traffics. The massive quantity of internet usage goes for video streaming that disburses nearly 70% of the internet. Some constraints of interactive media might be detached; such as augmented bandwidth usage and lateness. The need for real-time transmission of video streaming while live leads to employing of Fog computing technologies which is an intermediary layer between the cloud and end user. The latter technology has been introduced to alleviate those problems by providing high real-time response and computational resources near to the

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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

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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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