Sentence examples for for solving ODEs from inspiring English sources

Numerical methods used for solving ODEs have to be modified for solving fractional differential equations (FDE).

Our general framework is applicable to any numerical discretization procedure for solving ODEs or PDEs.

Equation (13) is an ordinary differential equation (ODE) and can be integrated using standard methods for solving ODEs (e.g., Euler or Runge Kutta methods).

This method preserves the extended stability property of the RKC method for solving ODEs, and it requires only one projection per step.

At present JSim provides 8 algorithms for solving ODEs (Table 1) and 3 for PDEs (Table 2).

The Euler τ-leap algorithm is the basic τ-leap method, and corresponds to the Euler method for solving ODEs or the Euler-Maruyama method for solving SDEs.

Consequently, a theory for solving ode's based on Lie's symmetry analysis will not be able to design a complete solution scheme as described above.

Comparing two adaptive methods (the local error method a variant of Runge Kutta Fehlberg for solving ode's and the pore pressure method) to a constant step size scheme illustrates the considerable cost savings of adaptive time stepping for loose coupling.

Much work in solving ODEs has focused on the simulation and analysis of the behavior of state variables for a dynamic system, but the estimation of ODE parameters that define the system based on the measurement of state variables at multiple time points is relatively a new area.

For solving the ODEs we choose an explicit integration scheme because the ODEs are non-stiff (and nonlinear).

To solve ODEs efficient techniques have been developed, [20, 21].