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Integral(Fredgolm) tenglamani momentlar usuli bilan sonli yechishni c# dasturlash tilidagi kodi
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| bet | 7/8 | | Sana | 27.05.2024 | | Hajmi | 219,8 Kb. | | #254584 |
Bog'liq Valijoonova Shahlo kurs ishi sonli usullardan2.2.Integral(Fredgolm) tenglamani momentlar usuli bilan sonli yechishni c# dasturlash tilidagi kodi
using System;
class Program
{
static void Main()
{
// Define the kernel function
Func<double, double, double> kernel = (x, t) => Math.Exp(-x * t);
// Define the limits of integration
double a = 0;
double b = 1;
// Define the number of moments and the step size
int numMoments = 10;
double h = (b - a) / numMoments;
// Initialize the moments array
double[] moments = new double[numMoments];
// Calculate the moments
for (int i = 0; i < numMoments; i++)
{
double xi = a + (i + 0.5) * h;
for (int j = 0; j < numMoments; j++)
{
double xj = a + (j + 0.5) * h;
moments[i] += kernel(xi, xj);
}
moments[i] *= h;
}
// Define the function to be approximated
Func<double, double> f = x => Math.Sin(x);
// Calculate the approximate solution
double solution = 0;
for (int i = 0; i < numMoments; i++)
{
solution += moments[i] * f(a + (i + 0.5) * h);
}
solution *= h;
// Print the result
Console.WriteLine("Tahminiy yechim: " + solution);
Console.ReadKey(true);
}
}
XULOSA
Mazkur kurs ishidan asosiy maqsad--Integral(Fredgolm) tenglamani momentlar usuli bilan sonli yechish mukammal o’rganib, ular orqali turli xil dasturlar tuzishni takomillashtirib keying ish faolyatimga poydevor qurishdir.
Ushu kurs ishda men Integral(Fredgolm) tenglamani momentlar usuli bilan sonli yechish o’rganishga harakat qildim. Algoritmlar, ulardan foydalanishni va ishlab chiqilgan algoritmlar yordamida dasturlar tuzishni o’rgandim.
Zamonaviy matematik paketlarning imkoniyatlari, qo`llanish sohalari, mathcad, maple dasturi haqida ham keng yoritib berilgan. Jumladan aniq integralni hisoblash, egri chiziqlar bilan ajratilgan sohaning yuzi, ikki karrali integrallarni hisoblash figuraning hajmi topish, murakkab ko'rinishdagi integrallarni son qiymatini topishda turli xil metodlardan foydalanish, yuqori tartibli integrallarning son qiymatini hisoblash Mathcad tizimi misollar bilan tushuntirilgan.
Integral tenglamalarni sonli usullar: to’g’ri to’rtburchaklar, trapetsiyalar, formulalari haqida ma’lumotlar berilgan, integral va integral tenglamalar sonli usullarda hisoblangan, Mathcad dasturida ham to’g’ri to’rtburchaklar, trapetsiyalar, formulalari yordamida hisoblashlar keltirilgan. Integral tenglamalarni hisoblash algoritmlari tuzilgan.
Bu kurs ishimni tayyorlash jarayonida men o’zim uchun bilgan bilmaganlarimni o’rgandim, va men o’rganishim kerak bo’lgan qirralari ko’pligini angladim. Endi kelajakda bu o’rganganlarim o’zimning mehnat faolyatimda juda katta samara beradi va asqotadi.
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