فرمول های لاپلاس

Category: Blog
سوالات متداول در مورد Laplace Transform- سوالات متداول
استفاده از Laplace Transform چیست؟
تبدیل لاپلاس برای حل معادلات دیفرانسیل استفاده می شود. در بسیاری از زمینه ها به طور گسترده ای پذیرفته شده است. ما می دانیم که تبدیل لاپلاس یک LDE داده شده (معادله دیفرانسیل خطی) را به یک معادله جبری ساده می کند ، که بعداً می تواند با استفاده از هویت های جبری استاندارد حل شود.
چگونه تبدیل لاپلاس را محاسبه می کنید؟
مراحلی که باید هنگام محاسبه تبدیل لاکت دنبال شود:
مرحله 1: تابع داده شده را ضرب کنید ، یعنی f (t) در e ^ - st ، جایی که s یک عدد مختلط است به طوری که s = x + iy
گام 2؛ با در نظر گرفتن محدودیت های 0 و this ، این محصول را با توجه به زمان (t) ادغام کنید.
این فرآیند منجر به تغییر شکل f (t) در لاپلاس می شود و با F (s) مشخص می شود.
روش لاپلاس چیست؟
تغییر شکل لاپلاس (یا روش لاپلاس) به افتخار ریاضیدان بزرگ فرانسوی پیر سیمون د لاپلاس (1827-1749) نامگذاری شده است. این روش برای یافتن مقدار تقریبی ادغام تابع داده شده استفاده می شود. تبدیل لاپلاس طبق برخی از قوانین ثابت یا معادلات یک سیگنال را به سیگنال دیگر تغییر می دهد.


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