![]() Prerequisite: ES 305 or consent of the department. Model equations, numerical solutions of parabolic PDEs, elliptic PDEs and hyperbolic PDEs. Numerical solution of Partial Differential equations (PDE), Finite Difference Method, convergence and stability analysis. Numerical solution of integral equations, Finite Volume Method. The best general-purpose integrator is the self-starting fourth-order Runge-Kutta algorithm. Numerical solution of Ordinary Differential Equations (ODE), initial value problems, Euler s method, Runge Kutta methods, stability analysis, Solution of system of ODE s and high order ODE s. One of the sets above should be completed before taking METU Credit (Theoretical-Laboratory hours/week): Courses AEE305 NUMERICAL METHODS Course Code:
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