In this article we present an approximation procedure to find an approximate solution of the FDEs subject to local and nonlocal m-point BVPs.
In this case, an approximation procedure is proposed to treat the curvature term, based upon an algorithm approximating the original macroscopic strength criterion by a convex hull of ellipsoids.
This approximation procedure can be used for arbitrary hyperbolic systems.
The dynamic secant approximation procedure is used to solve the linearized problem.
The second part of the paper describes the approximation procedure, introduces the new SHS model, and proves, under some assumptions, its weak convergence to the original system.
We implement an iterative approximation procedure based on this idea, and the procedure demonstrates the desirable anytime property in experiments.
A developable surface approximation procedure is employed to refine incident approximation planes of data points into developable strips.
An analysis of the flexural vibrations of an annular sector plate is performed by means of a variational approximation procedure.
An analysis of the free transverse vibrations of a cantilevered plate is performed by means of a variational approximation procedure.
Finally, a bond graph realization of this reduced-order model is given and an example demonstrates the usefulness of the whole approximation procedure.
An example (a fractional power pole model) and an application (the CRONE suspension) demonstrate the usefulness of the whole approximation procedure.
