دانلود مقاله ISI انگلیسی شماره 106618
ترجمه فارسی عنوان مقاله

اندازه گیری عدم قطعیت برای معادلات هیپربولیکی خطی با روند تصادفی یا ضرایب میدان تصادفی

عنوان انگلیسی
Uncertainty quantification for linear hyperbolic equations with stochastic process or random field coefficients
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
106618 2017 14 صفحه PDF
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Applied Numerical Mathematics, Volume 121, November 2017, Pages 38-51

پیش نمایش مقاله
پیش نمایش مقاله  اندازه گیری عدم قطعیت برای معادلات هیپربولیکی خطی با روند تصادفی یا ضرایب میدان تصادفی

In this paper hyperbolic partial differential equations with random coefficients are discussed. Such random partial differential equations appear for instance in traffic flow problems as well as in many physical processes in random media. Two types of models are presented: The first has a time-dependent coefficient modeled by the Ornstein–Uhlenbeck process. The second has a random field coefficient with a given covariance in space. For the former a formula for the exact solution in terms of moments is derived. In both cases stable numerical schemes are introduced to solve these random partial differential equations. Simulation results including convergence studies conclude the theoretical findings.