What are stiff ordinary differential equations?

What are stiff ordinary differential equations?

An ordinary differential equation problem is stiff if the solution being sought is varying slowly, but there are nearby solutions that vary rapidly, so the numerical method must take small steps to obtain satisfactory results. Stiffness is an efficiency issue.

What is a stiff system?

Physically, if a system contains rapidly and slowly varying components, the ODE is said to be “stiff”. Because the system has rapidly varying components, smaller time step would be required to obtain an accurate solution, and smaller time steps means that the simulation takes longer time.

Which type of method is to be used for stiff system of equations?

The Variational Iteration Method (VIM) and Modified Variational Iteration Method (MVIM) are used to find solutions of systems of stiff ordinary differential equations for both linear and nonlinear problems.

How do you calculate stiffness ratio?

First, obtain the inverse of the angle of the inter-story deflection, at each story level, and then compute the numerical average of of all the stories above grade, . The value at each story level is divided by the value, and the result is defined as the stiffness ratio.

What is a non-stiff differential equation?

value ordinary differential equations. These are problems for which all of the components evolve. simultaneously on comparable time-scales. Non-stiff problems are often solved by using explicit. methods usually with some error control.

What is stiffness ratio?

The stiffness ratio is defined as the ratio of the largest and smallest eigenvalues of A and gives a measure of the stiffness of the system.

What is a non stiff differential equation?

What is a stiffness ratio?

What is stiffness factor?

Of a member, the ratio of the moment of inertia of the cross section to its length.

What is stiffness in structure?

In structural engineering, the term ‘stiffness’ refers to the rigidity of a structural element. In general terms, this means the extent to which the element is able to resist deformation or deflection under the action of an applied force.