Numerical Simulation of the Nonlinear Fractional Dynamical Systems with Fractional Damping for the Extensible and Inextensible Pendulum

In this paper we consider a class of nonlinear dynamical systems with fractional damping.The problem is transformed into a system of fractional-order girls tank differential equations.A computationally effective fractional predictor-corrector method is used to simulate and examine the effects and solution behavior of the nonlinear dynamical systems

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Computation of Two-Dimensional Disturbances in an Elastic Body

The classical Godunov method is widely used for the numerical study of waves in continuous media.If the Courant condition is satisfied, the Godunov scheme is stable and monotonous.However, due to its first order of accuracy it can lead to rather large smearing of jumps, contact discontinuities, and other features of the solution in the domains wher

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