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ODEOrdinary Differential Equation(s)
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References in periodicals archive ?
In the current work, by applying the Laplace transform to time-fractional PDE with respect to time, constructing the general solutions to the resulted ordinary differential equation (ODE), and then using the (free) boundary conditions, we derive a nonlinear equation for the free boundary (or optimal early exercise boundary) function in Laplace space.
Subsequently, Nieto and Rodriguez-Lopez [15] extended the result of Ran and Reurings [20] for non-decreasing mappings and applied to obtain a unique solution for a first order ordinary differential equation with periodic boundary conditions.
corresponds to the second order equation given by Heun's ordinary differential equation [23] while the even part [[SIGMA].
Consider the ordinary differential equation with variable coefficients:
Consider the first-order ordinary differential equation
Through a complete classification of transformation groups, Lie could identify all possible ordinary differential equation order reductions.
For the ordinary differential equation, it is well known that a example in [14, pp 81] is of a scalar almost periodic equation such that the zero solution is GWUAS but is not GUAS.
A variable order one step scheme for numerical solution of ordinary differential equation, Computer and Mathematics with Applications, 4(1): 33-41.
Unmatched depth and breadth of computational ability, including expanded ordinary differential equation, partial differential equation and differential-algebraic equation solvers, the addition of wavelet transforms to the discrete transforms collection and dynamics systems analysis tools for linear time invariant systems.
The reacting system has been transformed into the system of ordinary differential equation.
The proposed method is very cheap for calculation and easily applicable to ordinary differential equation such as linear and non-linear to find the exact and approximate solution.