کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613828 1339273 2017 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations
ترجمه فارسی عنوان
تجزیه و تحلیل و شبیه سازی عددی از مسئله کوشی سه بعدی برای معادلات بیضوی شبه خطی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This work is concerned with solving the Cauchy problem for quasilinear elliptic equations whose exponential instability is manifestly seen by the catastrophic growth in the representation of the exact solution. Our proposed regularization procedure consists in damping the unbounded terms in the representation. Moreover, we show that its solution converges to the exact solution uniformly and strongly in L2L2 under a priori assumptions on the exact solution. In order to verify our analysis and the accuracy of the numerical procedures, we exhibit two numerical examples. Our main tools for simulation are the trigonometric polynomial approximation, and the fast Fourier transform in combination with the cubic Hermite interpolation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 446, Issue 1, 1 February 2017, Pages 470–492
نویسندگان
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