To solve the system of equations in MATLAB
2 views (last 30 days)
Show older comments
I'm trying to solve the following system of equation. I want solution in terms of h and t. Is it possible to find solution for this equation for 10 iterations? I don't have idea regarding this because h should be obtained in output as such. Please help me with the code for solving this.
\begin{equation}
X_i(t)=\chi_iX_{i-1}(t)+h\int_{0}^{t}\left[\frac{dX_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}X_j(x)Y_{i-1-j}(x)-(1-\chi_i)\right]dx
\end{equation}
\begin{equation}
Y_i(t)=\chi_iY_{i-1}(t)+h\int_{0}^{t}\left[\frac{dY_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}Z_j(x)X_{i-1-j}(x)\right]dx
\end{equation}
\begin{equation}
Z_i(t)=\chi_iZ_{i-1}(t)+h\int_{0}^{t}\left[\frac{dZ_{i-1}(x)}{dx}-aY_{i-1}(x)+\alpha Z_{i-1}(x)\right]dx
\end{equation}
where $\chi_i=0 \ for \ i\leq 1 \ and \ 1 \ for \ i>1$. $a=0.1, \ \alpha=0.5$
0 Comments
Answers (0)
See Also
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!