| Autor: |
Khanjar, Karar Ali, Zaboon, Radhi Ali |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2024, Vol. 3229 Issue 1, p1-9, 9p |
| Abstrakt: |
The Monte Carlo-Berenstain normal polynomial approach has been developed to solve some classes of linear Fractional integral Equations. The solution of Fractional Volterra integral equation (FVIE) is approximated by finite numbers of linear combination of normal Berenstain functions. The interval of solution is partitioned into finite sequence of numbers to obtain solvable linear algebraic system whose coefficients are single integrations defined on the region of solution. The sampling Monte Carlo method of integration are use to simulate the system coefficients using best sampling size number of uniformly distributed pseudo random variates where the solution of this system for its unknown variables have been used to form the approximate solution to (FVIE) as a linear independent combination of normal Berenstain basis functions with the obtained system coefficient Several illustrations of (FVIE) have been solved by propose approach. The comparisons between the result of the propose approach with the given exact solution are shown in figures and tables. As one can see, a very good accuracy and efficiency are obtained. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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