Solve differential equations via a hybrid method between homotopy analytical method and sine cosine optimization algorithm

In this paper, ordinary differential equations (ODEs) of two types, linear and non-linear will be solved by using the homotopy analytical method (HAM), and the sine cosine algorithm (SCA) will be used to modify the parameter h and obtain a better approximate solution than what was in the previous me...

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Published inJournal of physics. Conference series Vol. 1879; no. 3; pp. 32048 - 32057
Main Authors najeeb, Mostafa raed, Qasim, Omar Saber, Entesar, Ahmed
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.05.2021
Subjects
Algorithms
Differential equations
Mathematical analysis
Optimization
Ordinary differential equations
Parameter modification
Physics
Trigonometric functions
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ISSN1742-6588
1742-6596
1742-6596
DOI10.1088/1742-6596/1879/3/032048

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Abstract In this paper, ordinary differential equations (ODEs) of two types, linear and non-linear will be solved by using the homotopy analytical method (HAM), and the sine cosine algorithm (SCA) will be used to modify the parameter h and obtain a better approximate solution than what was in the previous method HAM. The suggested method, HAM-SCA, covers a solution that reveals the reliability and the efficiency correspondingly to the default method HAM by computing the maximum absolute errors (MAE) and mean square error (MSE).
AbstractList In this paper, ordinary differential equations (ODEs) of two types, linear and non-linear will be solved by using the homotopy analytical method (HAM), and the sine cosine algorithm (SCA) will be used to modify the parameter h and obtain a better approximate solution than what was in the previous method HAM. The suggested method, HAM-SCA, covers a solution that reveals the reliability and the efficiency correspondingly to the default method HAM by computing the maximum absolute errors (MAE) and mean square error (MSE).
Author najeeb, Mostafa raed
Entesar, Ahmed
Qasim, Omar Saber
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  organization: Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul , Iraq
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SubjectTerms Algorithms
Differential equations
Mathematical analysis
Optimization
Ordinary differential equations
Parameter modification
Physics
Trigonometric functions
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Title Solve differential equations via a hybrid method between homotopy analytical method and sine cosine optimization algorithm
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