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Article
VARIATIONAL FORMULATION OF ONE-DIMENSIONAL PARABOLICMOVING BOUNDARY PROBLEMSWITH SINGULARITY

Author: Sinan Hatif Abd almjeed
Journal: Al-Nahrain Journal of Science مجلة النهرين للعلوم ISSN: (print)26635453,(online)26635461 Year: 2009 Volume: 12 Issue: 3 Pages: 155-160
Publisher: Al-Nahrain University جامعة النهرين

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Abstract

Abstract
In this paper, the problem of solving one-dimensional parabolic moving boundary value
problem (heat equation) which involves a singularity in its initial and boundary conditions is solved
using the varitional approach which is by using the direct Ritz method.

الخلاصة في هذا البحث ، تمت دراسة حلول معادلة الحرارة وهي معادلة تفاضلية جزئيه حدودية ذات سطح متحرك والتي تضمنت نقطة انفرادية في الشروط الحدودية باستخدام الطرق التغايرية. وذلك بتطبيق الاساليب المباشرة للحلول العددية.

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Article
Compare Between Least Square Method and Petrov-Galerkin Method for Solving the First Order Linear Ordinary Delay Differential Equations

Author: Sinan Hatif Abd Almjeed
Journal: Journal of Education for Pure Science مجلة التربية للعلوم الصرفة ISSN: 20736592 Year: 2017 Volume: 7 Issue: 4 Pages: 16-27
Publisher: Thi-Qar University جامعة ذي قار

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Abstract

Abstract:The problem of find approximate solution for the first order linear ordinary delay differentialequations by using two of the special cases of the weighted residual method which are the leastsquares method and Petrov-Galerkin method with compare between these methods for which the bestapproximate solution near to the exact solution, also numerical applications are considered in thiswork.


Article
Approximate Solutions for Alcohol Consumption Model in Spain

Authors: Mahdi A. Sabaa --- Maha A. Mohammed --- Sinan Hatif Abd Almjeed
Journal: Ibn Al-Haitham Journal For Pure And Applied Science مجلة ابن الهيثم للعلوم الصرفة والتطبيقية ISSN: 16094042/ 25213407 Year: 2019 Volume: 32 Issue: 3 Pages: 153-164
Publisher: Baghdad University جامعة بغداد

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Abstract

In this paper, our aim is to solve analytically a nonlinear social epidemic model as aninitial value problem (IVP) of ordinary differential equations. The mathematical socialepidemic model under study is applied to alcohol consumption model in Spain. The economiccost of alcohol consumption in Spain is affected by the amount of alcohol consumed. Thispaper refers to the study of alcohol consumption using some analytical methods. Adomiandecomposition and variation iteration methods for solving alcohol consumption model haveused. Finally, a compression between the analytic solutions of the two used methods and theprevious actual values from 1997 to 2007 years is obtained using the absolute and relativeerrors. The analysis results obtained have been discussed tabularly and graphically

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