The residual power series method for the one-dimensional unsteady flow of a van der Waals gas

2019 ◽  
Vol 517 ◽  
pp. 188-196 ◽  
Author(s):  
Emad A. Az-Zo’bi ◽  
Ahmet Yıldırım ◽  
Wael A. AlZoubi
Keyword(s):  
Power Series ◽  
Unsteady Flow ◽  
Series Method ◽  
Van Der Waals Gas ◽  
Power Series Method ◽  
One Dimensional ◽  
Residual Power Series Method ◽  
Residual Power Series ◽  
The One ◽  
Residual Power

Solution of Fractional SIR Epidemic Model Using Residual Power Series Method

2019 ◽  
Vol 13 (2) ◽  
pp. 153-161 ◽  
Author(s):  
Shatha Hasan ◽  
Ayat Al-Zoubi ◽  
Asad Freihet ◽  
Mohammed Al-Smad ◽  
Shaher Momani
Keyword(s):  
Power Series ◽  
Epidemic Model ◽  
Series Method ◽  
Sir Epidemic Model ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Sir Epidemic ◽  
Residual Power Series ◽  
Residual Power

scholarly journals A new iterative algorithm on the time-fractional Fisher equation: Residual power series method

2017 ◽  
Vol 9 (9) ◽  
pp. 168781401771600 ◽  
Author(s):  
Maysaa’ Mohamed Al Qurashi ◽  
Zeliha Korpinar ◽  
Dumitru Baleanu ◽  
Mustafa Inc
Keyword(s):  
Power Series ◽  
Iterative Algorithm ◽  
Fisher Equation ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Residual Power Series ◽  
Residual Power

scholarly journals Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Wenjin Li ◽  
Yanni Pang
Keyword(s):  
Power Series ◽  
Fractional Derivative ◽  
Coupled Systems ◽  
Asymptotic Solutions ◽  
Series Method ◽  
Power Series Method ◽  
Residual Power Series Method ◽  
Time Space ◽  
Residual Power Series ◽  
Residual Power

This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral. We introduce the Residual Power Series (for short RPS) method to construct the desired asymptotic solutions. Furthermore, we apply this method to some time-space fractional coupled systems. The simplicity and efficiency of RPS method are shown by the application.

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