Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm

Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm

In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some...

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Published in:AL-Rafidain journal of computer sciences and mathematics Vol. 17; no. 2; pp. 11 - 18
Main Authors: Basam, Noor, Entesar, Ahmed
Format: Journal Article
Language:Arabic
English
Published: Mosul University 23-12-2023
Subjects:
adomian decomposition method
bee colony algorithm
voltera and fredholm integral equations
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Abstract In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some examples and were more accurate than the default method, These results are illustrated by calculating the maximum absolute errors (MAE) and mean squared errors (MSE).
AbstractList In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the Adomian method was combined with the bee algorithm(ABC) and obtained values for the parameter that improved the results obtained by solving some examples and were more accurate than the default method, These results are illustrated by calculating the maximum absolute errors (MAE) and mean squared errors (MSE).
Author Basam, Noor
Entesar, Ahmed
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Snippet In this paper, we used the modified Adomian decomposition(MADM) method to solve integral equations of the Volterra and Fredholm type as well, and then the...
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SubjectTerms adomian decomposition method
bee colony algorithm
voltera and fredholm integral equations
Title Solving Integral Equations via a hybrid method between the Modified Adomian Decomposition Method and Bee Algorithm
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