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ijs-2808
An Approximate Solution of the Space Fractional-Order Heat Equation by the Non-Polynomial Spline Functions
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     The linear non-polynomial spline is used here to solve the fractional partial differential equation (FPDE). The fractional derivatives are described in the Caputo sense. The tensor products are given for extending the one-dimensional linear non-polynomial spline to a two-dimensional spline  to solve the heat equation. In this paper, the convergence theorem of the method used to the exact solution is proved and the numerical examples show the validity of the method. All computations are implemented by Mathcad15.

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Publication Date
Thu Feb 01 2007
Journal Name
No
On Solvability of an Operator Equation-
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Publication Date
Sun Oct 30 2022
Journal Name
Iraqi Journal Of Science
Image Signal Decomposition Using Polynomial Representation with Hybrid Lossy and Non-Lossy Coding Scheme
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This article presents a polynomial-based image compression scheme, which consists of using the color model (YUV) to represent color contents and using two-dimensional polynomial coding (first-order) with variable block size according to correlation between neighbor pixels. The residual part of the polynomial for all bands is analyzed into two parts, most important (big) part, and least important (small) parts. Due to the significant subjective importance of the big group; lossless compression (based on Run-Length spatial coding) is used to represent it. Furthermore, a lossy compression system scheme is utilized to approximately represent the small group; it is based on an error-limited adaptive coding system and using the transform codin

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Publication Date
Tue Jun 01 2021
Journal Name
Baghdad Science Journal
Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials
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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
Sat Oct 01 2011
Journal Name
Journal Of Engineering
THE EFFECT OF SPACE VOLUME ON FREE CONVECTION HEAT TRANSFER FOR ONGITUDINAL FINNED CYLINDER WITH DIFFERENT SLOPE NGLES
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This study deals with free convection heat transfer for the outer surface of two
cylinders of the shape of (Triangular & Rectangular fined cylinders with 8-fins),
putted into two different spaces; small one with dimension of (Length=1.2m,
height=1m, width=0.9m) and large one with dimension of (Length=3.6m, height =3m,
width=2.7m). The experimental work was conducted with air as a heat transport
medium. These cylinders were fixed at different slope angles (0o, 30o, 60o and 90o)
.The heat fluxes were (279, 1012, 1958, 3005, 4419) W/m2, where heat transferred by
convection and radiation. In large space, the results show that the heat transfer from
the triangular finned cylinder is maximum at a slope angle equals

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Publication Date
Thu Oct 26 2017
Journal Name
International Journal Of Pure And Applied Mathematics
ON CONVEX FUNCTIONS, $E$-CONVEX FUNCTIONS AND THEIR GENERALIZATIONS: APPLICATIONS TO NON-LINEAR OPTIMIZATION PROBLEMS
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Contents IJPAM: Volume 116, No. 3 (2017)

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Publication Date
Sun Apr 23 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fixed Point for Asymptotically Non-Expansive Mappings in 2-Banach Space
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  In  this  paper, we  introduced   some  fact  in   2-Banach  space. Also, we define  asymptotically  non-expansive  mappings  in  the  setting  of  2-normed  spaces analogous  to  asymptotically non-expansive mappings  in  usual  normed spaces. And then prove the existence of fixed points for this type of mappings in 2-Banach spaces.

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Publication Date
Wed Dec 30 2020
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Modifying an Equation to Predict the Asphaltene Deposition in the Buzurgan Oil Field
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Buzurgan oil field suffers from the phenomenon of asphaltene precipitation. The serious negatives of this phenomenon are the decrease in production caused by clogging of the pores and decrease in permeability and wettability of the reservoir rocks, in addition to the blockages that occur in the pipeline transporting crude oil. The presence of laboratories in the Iraqi oil companies helped to conduct the necessary experiments, such as gas chromatography (GC) test to identify the components of crude oil and the percentages of each component, These laboratory results consider the main elements in deriving a new equation called modified colloidal instability index (MCII) equation based on a well-known global equation called colloidal in

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Publication Date
Mon Aug 31 2015
Journal Name
International Journal Of Advanced Research
On instability of zero solution of some types of forth order
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The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fourth order by using the Lyapunov-Krasovskii functional approach; we obtain some conditions of instability of solution of such equation.

Publication Date
Mon Jun 01 2015
Journal Name
International J. Of Math. Sci. & Engg. Appls
On instability of zero solution of some types of fifth order
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The purpose of this paper is to study the instability of the zero solution of some type of nonlinear delay differential equations of fifth order with delay by using the Lyapunov-Krasovskii functional approach, we obtain some conditions of instability of solution of such equation.

Publication Date
Wed Dec 30 2020
Journal Name
Iraqi Journal Of Science
Approximate Treatment for The MHD Peristaltic Transport of Jeffrey Fluid in Inclined Tapered Asymmetric Channel with Effects of Heat Transfer and Porous Medium
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In this paper, we discuss a fluid problem that has wide applications in biomechanics, polymer industries, and biofluids. We are concerned here with studying the combined effects of porous medium and heat transfer on MHD non-Newtonian Jeffery fluid which flows through a two dimensional asymmetric, inclined tapered channel. Base equations, represented by mass conservation, motion, energy and concentration conservation, were formulated first in a fixed frame and then transformed into a moving frame. By holding the assumptions of “long wavelength and low Reynolds number” these physical equations were simplified into differential equations. Approximate solutions for the velocity profile, stream function, and temperature profile we

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