The multi-step homotopy analysis method for solving the Jaulent-Miodek equations

In this work, the multi-step homotopy analysis method (MHAM) is applied to obtain the explicit analytical solutions for system of the Jaulent Miodek equations. The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequenc...

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Autores principales:	Zurigat,Mohammad, Freihat,Asad A., Handam,Ali H.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Differential algebraic equations multi-step homotopy analysis method; Numerical solutions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100004
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spelling	oai:scielo:S0716-091720150001000042015-07-13The multi-step homotopy analysis method for solving the Jaulent-Miodek equationsZurigat,MohammadFreihat,Asad A.Handam,Ali H. Differential algebraic equations multi-step homotopy analysis method; Numerical solutions In this work, the multi-step homotopy analysis method (MHAM) is applied to obtain the explicit analytical solutions for system of the Jaulent Miodek equations. The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Thus, it is valid for both weakly and strongly nonlinear problems. this work verifies the validity and the potential of the MHAM for the study of nonlinear systems. A comparative study between the new algorithm and the exact solution is presented graphically. convenient.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.1 20152015-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100004en10.4067/S0716-09172015000100004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Differential algebraic equations multi-step homotopy analysis method; Numerical solutions
spellingShingle	Differential algebraic equations multi-step homotopy analysis method; Numerical solutions Zurigat,Mohammad Freihat,Asad A. Handam,Ali H. The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
description	In this work, the multi-step homotopy analysis method (MHAM) is applied to obtain the explicit analytical solutions for system of the Jaulent Miodek equations. The proposed scheme is only a simple modification of the homotopy analysis method (HAM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Thus, it is valid for both weakly and strongly nonlinear problems. this work verifies the validity and the potential of the MHAM for the study of nonlinear systems. A comparative study between the new algorithm and the exact solution is presented graphically. convenient.
author	Zurigat,Mohammad Freihat,Asad A. Handam,Ali H.
author_facet	Zurigat,Mohammad Freihat,Asad A. Handam,Ali H.
author_sort	Zurigat,Mohammad
title	The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
title_short	The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
title_full	The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
title_fullStr	The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
title_full_unstemmed	The multi-step homotopy analysis method for solving the Jaulent-Miodek equations
title_sort	multi-step homotopy analysis method for solving the jaulent-miodek equations
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000100004
work_keys_str_mv	AT zurigatmohammad themultistephomotopyanalysismethodforsolvingthejaulentmiodekequations AT freihatasada themultistephomotopyanalysismethodforsolvingthejaulentmiodekequations AT handamalih themultistephomotopyanalysismethodforsolvingthejaulentmiodekequations AT zurigatmohammad multistephomotopyanalysismethodforsolvingthejaulentmiodekequations AT freihatasada multistephomotopyanalysismethodforsolvingthejaulentmiodekequations AT handamalih multistephomotopyanalysismethodforsolvingthejaulentmiodekequations
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The multi-step homotopy analysis method for solving the Jaulent-Miodek equations

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