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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Vydáno v:Journal of physics. Conference series Ročník 1879; číslo 3; s. 32048 - 32057
Hlavní autoři: najeeb, Mostafa raed, Qasim, Omar Saber, Entesar, Ahmed
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bristol IOP Publishing 01.05.2021
Témata:
Algorithms
Differential equations
Mathematical analysis
Optimization
Ordinary differential equations
Parameter modification
Physics
Trigonometric functions
ISSN:1742-6588, 1742-6596
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Shrnutí: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).
Bibliografie:ObjectType-Article-1
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1879/3/032048