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Publication Date

Mon Sep 25 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Volume

30

Issue Number

2

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Algorithm to Solve Linear Volterra Fractional Integro-Differential Equation via Elzaki Transform

: integral

differential

Volterra

fractional

Elzaki.

Amaal

Yasmin

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In this work, Elzaki transform (ET) introduced by Tarig Elzaki is applied to solve linear Volterra fractional integro-differential equations (LVFIDE). The fractional derivative is considered in the Riemman-Liouville sense. The procedure is based on the application of (ET) to (LVFIDE) and using properties of (ET) and its inverse. Finally, some examples are solved to show that this is computationally efficient and accurate.

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Publication Date

Mon May 15 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Solving System of Linear Fredholm Integral Equations of Second Kind Using Open Newton-Cotes Formulas

Open Newton â€“ Cotes formula

Closed Newton-Cotes formula

System of linear Fredholm integral equation

G. H.

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In this paper, the linear system of Fredholm integral equations is solving using Open Newton-Cotes formula, which we use five different types of Open Newton-Cotes formula to solve this system. Compare the results of suggested method with the results of another method (closed Newton-Cotes formula) Finally, at the end of each method, algorithms and programs developed and written in MATLAB (version 7.0) and we give some numerical examples, illustrate suggested method

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Publication Date

Sat Feb 19 2022

Journal Name

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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AbstractAccording 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.

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Publication Date

Wed May 13 2020

Journal Name

Nonlinear Engineering

Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences

Majeed A.

Ghada H.

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AbstractIn this paper, two meshless methods have been introduced to solve some nonlinear problems arising in engineering and applied sciences. These two methods include the operational matrix Bernstein polynomials and the operational matrix with Chebyshev polynomials. They provide an approximate solution by converting the nonlinear differential equation into a system of nonlinear algebraic equations, which is solved by using <italic>Mathematica</italic>® 10. Four applications, which are the well-known nonlinear problems: the magnetohydrodynamic squeezing fluid, the Jeffery-Hamel flow, the straight fin problem and the Falkner-Skan equation are presented and solved using the proposed methods. To ill ... Show More

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(10)

Publication Date

Thu Aug 31 2023

Journal Name

Journal Of Kufa For Mathematics And Computer

Four Points Block Method with Second Derivative for Solving First Order Ordinary Differential Equations

Niran

Mohammed Yousif

Mohammed S.

Shrooq Bahjat

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Publication Date

Wed Aug 30 2023

Journal Name

Iraqi Journal Of Science

Computational methods for solving nonlinear ordinary differential equations arising in engineering and applied sciences

Novel approximate solution

Hermite polynomials

Legendre polynomials

Bernstein polynomials

Base functions

Othman Mahdi

Majeed A.

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In this paper, the computational method (CM) based on the standard polynomials has been implemented to solve some nonlinear differential equations arising in engineering and applied sciences. Moreover, novel computational methods have been developed in this study by orthogonal base functions, namely Hermite, Legendre, and Bernstein polynomials. The nonlinear problem is successfully converted into a nonlinear algebraic system of equations, which are then solved by Mathematica^®12. The developed computational methods (D-CMs) have been applied to solve three applications involving well-known nonlinear problems: the Darcy-Brinkman-Forchheimer equation, the Blasius equation, and the Falkner-Skan equation, and a comparison between t

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(1)

Publication Date

Wed May 13 2020

Journal Name

Nonlinear Engineering

Two meshless methods for solving nonlinear ordinary differential equations in engineering and applied sciences

Majeed A.

Ghada H.

...Show More Authors

AbstractIn this paper, two meshless methods have been introduced to solve some nonlinear problems arising in engineering and applied sciences. These two methods include the operational matrix Bernstein polynomials and the operational matrix with Chebyshev polynomials. They provide an approximate solution by converting the nonlinear differential equation into a system of nonlinear algebraic equations, which is solved by using <italic>Mathematica</italic>® 10. Four applications, which are the well-known nonlinear problems: the magnetohydrodynamic squeezing fluid, the Jeffery-Hamel flow, the straight fin problem and the Falkner-Skan equation are presented and solved using the proposed methods. To ill ... Show More

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Publication Date

Wed Mar 10 2021

Journal Name

Periodicals Of Engineering And Natural Sciences (pen)

A hybrid Grey Wolf optimizer with multi-population differential evolution for global optimization problems

NUHA SAMI

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Publication Date

Thu Jan 01 2015

Journal Name

Finite Difference Methods,theory And Applications

Determination of the Time-Dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity

M. S.

D.

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Publication Date

Mon Feb 20 2012

Journal Name

North Africa Technical Conference And Exhibition

Comprehensive Model for Flash Calculations of Heavy Oils Using the Soave - Redlich - Kwong Equation of State

upstream oil & gas

Soave - Redlich - Kwong

pvt measurement

equation of state

phase behavior

correlation

mole fraction

Mohammed S.

Omar

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AbstractOne of the main techniques to achieve phase behavior calculations of reservoir fluids is the equation of state. Soave - Redlich - Kwong equation of state can then be used to predict the phase behavior of the petroleum fluids by treating it as a multi-components system of pure and pseudo-components. The use of Soave – Redlich – Kwon equation of state is popular in the calculations of petroleum engineering therefore many researchers used it to perform phase behavior analysis for reservoir fluids (Wang and Orr (2000), Ertekin and Obut (2003), Hasan (2004) and Haghtalab (2011))This paper presents a new flash model for reservoir fluids in gas – oil se ... Show More

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Publication Date

Sun Oct 01 2023

Journal Name

Baghdad Science Journal

Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y

Algebraic properties

Diophantine equation

Gaussian integer

quartic equation

nontrivial solutions

symmetrical solutions.

Shahrina

Kamel Ariffin Mohd

Diego Sejas

Kai Siong

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The investigation of determining solutions for the Diophantine equation over the Gaussian integer ring for the specific case of is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

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