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New Iterative Method for Fractional Gas Dynamics and Coupled Burger's Equations

This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger's equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the...

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Detalles Bibliográficos
Autor principal: Al-luhaibi, Mohamed S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4391695/
https://www.ncbi.nlm.nih.gov/pubmed/25884018
http://dx.doi.org/10.1155/2015/153124
Descripción
Sumario:This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger's equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.