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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Veröffentlicht in:Journal of physics. Conference series Jg. 1879; H. 3; S. 32048 - 32057
Hauptverfasser: najeeb, Mostafa raed, Qasim, Omar Saber, Entesar, Ahmed
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Bristol IOP Publishing 01.05.2021
Schlagworte:
Algorithms
Differential equations
Mathematical analysis
Optimization
Ordinary differential equations
Parameter modification
Physics
Trigonometric functions
ISSN:1742-6588, 1742-6596
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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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  givenname: Omar Saber
  surname: Qasim
  fullname: Qasim, Omar Saber
  organization: Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul , Iraq
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  givenname: Ahmed
  surname: Entesar
  fullname: Entesar, Ahmed
  organization: Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul , Iraq
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10.1016/S0096-3003(99)00063-6
10.1109/TIT.2013.2259893
10.5194/gmd-7-1247-2014
10.1016/j.knosys.2015.12.022
10.1016/S0096-3003(01)00312-5
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10.1016/S0096-3003(01)00103-5
10.1016/j.cnsns.2008.02.004
10.1016/j.cnsns.2007.05.026
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Snippet 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...
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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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