Extended power series solution for Perkins-Kern-Nordgren model of hydraulic fracture | ||
| AUT Journal of Civil Engineering | ||
| مقاله 3، دوره 6، شماره 4، زمستان 2022، صفحه 461-468 اصل مقاله (1.15 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajce.2023.19737.5814 | ||
| نویسنده | ||
| Ali Asgari* | ||
| Department of Civil Engineering, Faculty of Engineering and Technology, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| The extended Power Series (XPS) method can be extremely useful for solving nonlinear equations with regular and irregular singular points. The extended power series is considered times a logarithm or times a fractional power of x, etc.). This research shows it is simple to solve approximately the Perkins-Kern-Nordgren (PKN) model of hydraulic fracture. To illustrate the effectiveness and convenience of the XPS method, we consider the two cases of dimensionless PKN equation containing the M-scaling and -scaling. The results compared with available analytical results verified excellent agreements. | ||
| کلیدواژهها | ||
| Extended power series؛ nonlinear equation؛ Perkins-Kern-Nordgren model؛ hydraulic fracture. | ||
| مراجع | ||
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