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Time‐Dependent Term Identification in the Time–Space Fractional Derivative Diffusion Equation From Integral Over Specified Condition
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ABSTRACT<p> In this paper, a time–space fractional order inverse source problem to determine the temperature solution and the time‐dependent source term from heat moment to the time–space fractional heat equation with an initial condition, homogeneous Dirichlet boundary conditions, and integral overdetermination condition is investigated. Two unconditionally stable finite difference schemes are proposed to find a numerical solution of the direct problem. Namely, method I is based on the approximation of the time‐fractional derivative via Laplace transformation, whereas method II is based on finite difference approximation. The inverse problem is solved iteratively by <italic>lsqnonlin</italic> routine from the MATLAB optimization toolbox after reformatting the problem to a minimization of an objective functional imposed from the overdetermination condition. Since the problem under consideration is generally ill‐posed, Tikhonov's method is used to get a uniform, stable, and accurate result. Several numerical test examples explain that the proposed methods are stable and work satisfactorily for various amounts of noise levels. </p>
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Publication Date
Tue Jun 20 2023
Journal Name
Baghdad Science Journal
Delay differential equation of the 2nd order and it's an oscillation yardstick
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This study focuses on studying an oscillation of a second-order delay differential equation. Start work, the equation is introduced here with adequate provisions. All the previous is braced by theorems and examplesthat interpret the applicability and the firmness of the acquired provisions

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Publication Date
Sun Dec 04 2016
Journal Name
Baghdad Science Journal
Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen
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Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen, and determined if they are complete or incomplete as arcs of degree three. Also, the maximum size of a complete elliptic curve that can be constructed from each incomplete elliptic curve are given.

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Publication Date
Mon Feb 18 2019
Journal Name
Iraqi Journal Of Physics
Derivative of an image that corrupted by additive noise
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In this paper the behavior of the quality of the gradient that implemented on an image as a function of noise error is presented. The cross correlation coefficient (ccc) between the derivative of the original image before and after introducing noise error shows dramatic decline compared with the corresponding images before taking derivatives. Mathematical equations have been constructed to control the relation between (ccc) and the noise parameter.

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Publication Date
Wed May 01 2024
Journal Name
Journal Of Madenat Alelem College
Study 1,4- Naphthoquinone Derivative and Biological Activity: A Review
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In this work, we focused on studying 1,4-naphthoquinones and their derivatives, and knowing the methods of preparing them using different auxiliary agents and forming derivatives containing heterocyclic rings, active groups and saturated rings containing heterogeneous elements . In addition, due to their strong antibacterial, antifungal and anticancer activity, 1,4-naphthoquinone compounds biological importance and are considered a source of various pharmaceutical compounds.

Publication Date
Mon Jun 01 2020
Journal Name
Iop Conference Series: Materials Science And Engineering
Common Fixed Point problem for Classes of Nonlinear Maps in Hilbert Space
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Abstract<p>in this article, we present a definition of k-generalized map independent of non-expansive map and give infinite families of non-expansive and k-generalized maps new iterative algorithms. Such algorithms are also studied in the Hilbert spaces as the potential to exist for asymptotic common fixed point.</p>
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Publication Date
Mon Jun 30 2025
Journal Name
Indonesian Journal Of Biotechnology
Morphological and molecular identification of an unknown fungal isolate from Al‐Dujail District: A new record of Tulostoma winterhoffii in Iraq
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The Tulostoma genus, known as stalkballs or stalked puffballs, belongs to the Agaricaceae family. This study was designed to identify an unknown fungal species collected from the Al‐Dujail district in Iraq based on morphological examination and molecular analysis of the internal transcribed spacer (ITS) region. Between April and July 2019, samples were collected from garden soil in the Al‐Dujail district, Salah Al‐Din Governorate, Iraq. Morphological characteristics were documented using light microscopy. Genomic DNA was extracted and purified, and the ITS region was amplified using conventional PCR with specific primers. The amplified products were sequenced, and phylogenetic analysis was conducted using MEGA11 software. Morp

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Publication Date
Sat Oct 01 2022
Journal Name
Journal Of Computational Science
Novel approximate solution for fractional differential equations by the optimal variational iteration method
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Discrete wavelet based estimator for the Hurst parameter of multivariate fractional Brownian motion
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Abstract<p>In this paper, wavelets were used to study the multivariate fractional Brownian motion through the deviations of the random process to find an efficient estimation of Hurst exponent. The results of simulations experiments were shown that the performance of the proposed estimator was efficient. The estimation process was made by taking advantage of the detail coefficients stationarity from the wavelet transform, as the variance of this coefficient showed the power-low behavior. We use two wavelet filters (Haar and db5) to manage minimizing the mean square error of the model.</p>
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Publication Date
Sat Oct 01 2022
Journal Name
Journal Of Computational Science
Novel approximate solution for fractional differential equations by the optimal variational iteration method
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Publication Date
Tue Dec 15 2020
Journal Name
Al-academy
Acculturation and its Evolutionary Tendency in the Design of the Prayer Space Elements / Niche – A model: آلاء طالب كريم
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The peculiarity of worship spaces in the Islamic architecture is evident by its symbolic connotations with doctrinal connections, thus the niche has a major status in that symbolic connotation, which transformed due to the cultural interaction from a rock on the wall directed towards Mecca into an element of integrated structural entity with performative and aesthetic characteristics. The spread of the Islamic religion contributed to subjecting it to a design acculturation process, thus the problem of the research was raised by the following question: has the evolutionary tendency of acculturation been able to effect a major transformation in the niche design? The research aims at identifying the design acculturation and its translation

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