stiff_answers

MATLAB:

• backward_euler.m, uses n equal steps of the backward Euler method to solve an ODE, using fsolve() to handle the implicit equation.
• euler.m, uses n equal steps of the Euler method, to solve an ODE.
• func.m, an example function whose root could be found by fsolve().
• quadex_backward_euler.m, computes an n-step backward Euler solution to the QUADEX ODE.
• quadex_deriv.m, the right hand side of the QUADEX ODE.
• quadex_euler.m, computes an n-step Euler solution to the QUADEX ODE.
• quadex_solution.m, computes the exact solution to the QUADEX ODE.
• rk2.m, uses n equal steps of the Runge Kutta 2 method, to solve an ODE.
• stiff_backward_euler.m, computes an n-step backward Euler solution to the STIFF ODE.
• stiff_backward_euler_explicit.m, computes an n-step backward Euler solution to the STIFF ODE, by converting the implicit backward Euler step to an explicit formula.
• stiff_deriv.m, the right hand side of the STIFF ODE.
• stiff_euler.m, computes an n-step Euler solution to the STIFF ODE.
• stiff_rk2.m, computes an n-step Runge Kutta 2 solution to the STIFF ODE.
• stiff_solution.m, computes the exact solution to the STIFF ODE.
• trigger_backward_euler_explicit.m, computes an n-step backward Euler solution to the TRIGGER ODE, by converting the implicit backward Euler step to an explicit formula.
• trigger_deriv.m, the right hand side of the TRIGGER ODE.
• trigger_euler.m, computes an n-step Euler solution to the TRIGGER ODE.
• trigger_solution.m, computes the exact solution to the TRIGGER ODE.