| Autor: |
Khanjar, Karar Ali, Zaboon, Radhi Ali |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2024, Vol. 3229 Issue 1, p1-13, 13p |
| Abstrakt: |
The Monte Carlo-Berenstain (orthonormal∕ normal) polynomial approach has been developed to solve some classes of linear Fredholm integral equations. The solution of Fredholm integral equation is firstly approximated by finite numbers of linear combination of (orthonormal∕ normal) Berenstain functions. on using some mathematical manipulations, a linear algebraic system has been obtained. The coefficients of then system are single /double integrations defined on the region of solution. Secondly the single and double integrations coefficients of the system are simulated using sampling Monte Carlo method of integration based on generating best sampling size number of uniformly distributed pseudo random variates. For showing the effectiveness and efficiency of the proposed method, several integra Fredholm equations examples have been used. The means and variances errors as well as the absolute error are applied for comparison points of view. The numerical results have shown the good accuracy and efficiency of present approach even where small numbers of normal and orthonormal basis functions are selected. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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