Modify code and notebook

This commit is contained in:
2025-10-08 21:36:44 +03:00
parent e3c7b88dfb
commit 5b2331445c
3 changed files with 18 additions and 3 deletions

View File

@@ -102,7 +102,7 @@
" y = np.fromstring(data_str, sep=' ')\n",
" y_real = u(x)\n",
"\n",
" plt.plot(x, y, label=\"Linear element solution\", color='red')\n",
" plt.plot(x, y, label=\"Linear element solution\", color='blue')\n",
" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
" plt.title(f\"Linear element, elements = {elements}\")\n",
" plt.grid(True)\n",

View File

@@ -9,7 +9,7 @@
using namespace Eigen;
int main() {
std::cout << A << "u''" << " + " << B << "u'" << "+ " << C << "u + " << D << " = 0" << std::endl;
Solver slv(A, B, C, D, 2, 0, 10);
Solver slv(A, B, C, D, 20, 0, 10);
std::cout << "Linear element:";
slv.Execute_Linear(0, 5);
std::cout << "\nCubic element:";

View File

@@ -3,6 +3,9 @@
using namespace Eigen;
Solver::Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u) {
if (_N < 1)
throw std::runtime_error("N CAN BE OVER THAN 1!");
A = _A, B = _B, C = _C, D = _D, N = _N;
upper = _u, lower = _l;
L = (double)(upper - lower) / N;
@@ -50,16 +53,22 @@ void Solver::Execute_Linear(double val1, double val2) {
std::cout << "Ansamb load vector:\n" << global_load << std::endl;
#endif
// Граничные условия
// Boundary conditions
double u_right = val2;
// 3rd type of boundary condition
ansamb.row(0).setZero();
ansamb(0, 0) = 1;
ansamb(0, 1) = -1;
global_load(0) = 0;
ansamb(1, 1) -= A;
// 1st type of boundary condition
for (int i = 0; i < global_load.size(); ++i) {
global_load(i) = global_load(i) - u_right * ansamb(i, N + 1);
}
ansamb.row(N + 1).setZero();
ansamb.col(N + 1).setZero();
ansamb(N + 1, N + 1) = 1;
global_load(N + 1) = u_right;
@@ -142,13 +151,19 @@ void Solver::Execute_Cubic(double val1, double val2) {
// Граничные условия
double u_right = val2;
// 3rd type of boundary condition
ansamb.row(0).setZero();
ansamb(0, 0) = 1;
ansamb(0, 1) = -1;
global_load(0) = 0;
ansamb(1, 1) -= A;
// 1st type of boundary condition
for (int i = 0; i < global_load.size(); ++i) {
global_load(i) = global_load(i) - u_right * ansamb(i, mat_dim - 1);
}
ansamb.row(mat_dim - 1).setZero();
ansamb.col(mat_dim - 1).setZero();
ansamb(mat_dim - 1, mat_dim - 1) = 1;
global_load(mat_dim - 1) = u_right;