FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS III: Numerical and More Analytic Methods
نویسنده
چکیده
8. First-Order Equations: Numerical Methods 8.1. Numerical Approximations 2 8.2. Explicit and Implicit Euler Methods 3 8.3. Explicit One-Step Methods Based on Taylor Approximation 4 8.3.1. Explicit Euler Method Revisited 4 8.3.2. Local and Global Errors 4 8.3.3. Higher-Order Taylor-Based Methods (not covered) 5 8.4. Explicit One-Step Methods Based on Quadrature 6 8.4.1. Explicit Euler Method Revisited Again 6 8.4.2. Runge-Trapezoidal Method 7 8.4.3. Runge-Midpoint Method 9 8.4.4. Runge-Kutta Method 10 8.4.5. General Runge-Kutta Methods (not covered) 12
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