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ode_exp_euler

# ode_exp_euler - x[i = XMIN h i y[0 = Y0 initial value...

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/* ode_exp_euler.c * Example code to solve dy/dx=y using Euler's method. */ #include <stdio.h> #define N 1 /* number of ODEs */ #define NSTEP 10 /* number of integration steps */ #define XMIN 0.0 /* starting point for integration */ #define XMAX 1.0 /* stopping point for integration */ #define Y0 1.0 /* initial value */ void derivs(float xin, float yin[], float dydx[]); void euler(float xin, float yin[], float yout[], float h); int main() { int i; float h = (XMAX - XMIN)/(1.0*NSTEP); /* stepsize for integration */ float yin[N], yout[N]; /* values of y before and after a step, for a given x */ float x[NSTEP+1], y[NSTEP+1]; for (i = 0; i <= NSTEP; i++) /* Define array of x values */

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Unformatted text preview: x[i] = XMIN + h * i; y[0] = Y0; /* initial value */ printf("%f %f\n", x[0], y[0]); for (i = 0; i < NSTEP; i++) /* loop over x values */ { yin[0] = y[i]; euler(x[i], yin, yout, h); /* do one integration step */ y[i+1] = yout[0]; printf("%f %f\n", x[i+1], y[i+1]); } return 0; } void derivs(float xin, float yin, float dydx) { /* evaluate RHS of ODE */ dydx[0] = yin[0]; return; } void euler(float xin, float yin, float yout, float h) { /* do one Euler step of size h */ int i; float dydx[N]; derivs(xin, yin, dydx); /* evaluate dy/dx */ for (i = 0; i < N; i++) yout[i] = yin[i] + dydx[i] * h; /* Euler step */ return; }...
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ode_exp_euler - x[i = XMIN h i y[0 = Y0 initial value...

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