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Publication Date
Tue Dec 01 2020
Journal Name
Baghdad Science Journal
Volume
17
Issue Number
4
DOI
10.21123/bsj.2020.17.4.1241
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bsj-3753
Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials
Approximate Numerical Solutions
Linear Volterra Integral Equation
Touchard Polynomials.
Jalil Talab Abdullah
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In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation. Illustrative examples show the efficiency of the presented method, and the approximate numerical (AN) solutions are compared with one another method in some examples. All calculations and graphs are performed by program MATLAB2018b.

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The standard solar model and equation of state have been used to study relative diffusion of Hydrogen and Helium in the present time for solar interior
as a function of distance and depth from the center of the star. The effects of temperature and density on diffusion velocity for these chemical elements have been explaned. It is found that heat flow which is arising from these reactions leads to an increase in helium diffusion velocity
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