Numerical Study of Unsteady Flow of Gas Through a Porous Medium By Means of Chebyshev Pseudo-Spectral Method
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 79
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شناسه ملی سند علمی:
JR_IJIM-10-3_001
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
In this work, we first reformulate the unsteady flow of gas through a porous medium problem in [۰,+∞) to a problem in [-۱,۱] by variable transformation μ = (x-s)/(x+s), and using spectral collocation method based on Chebyshev polynomials to approximate the resulting problem. The comparison of the results obtained by this method with results obtained by other methods shows that this method provides more accurate and numerically stable solutions.
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نویسندگان
S. M. Hosseini Herat
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
E. Babolian
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.