Sentence examples for find the closed form solution from inspiring English sources

However, it is difficult to find the closed form solution, so we need to use iterative root-finding algorithms such as the bisection method or the Newton's method to find the numerical solution.

Due to highly nonlinearity, we could not find the closed form solution.

In this scenario, it is shown that our scheme can be expanded to general N t antennas scenario though it is not possible to find the closed-form solution for Eq. (22) unlike above two scenarios.

Thus, using a conformal Schwarz-Christoffel transformation mapping the half-plane into the rectangle, one can easily find the closed-form solution of homogeneous Dirichlet problem in terms of Jacobi elliptic functions (see for instance [1], [2], [5]), but to date a large number of other BVPs for rectangular Poisson equation still have no analytical closed-form solutions.

The dynamics of the underlying asset in a risk-neutral world is given by the following system: left{begin{array}{l}frac{d{S}_t}{S_t}=rdt+sqrt{v_t}d{z}_{S,t} d{v}_t=kappa left(theta -{v}_tright dt+eta sqrt{v_t}d{z}_{v,t} rho left(d{S}_t;d{v}_tright)=rho end{array}right.. Considering a market risk price α, the closed form solution he found is a solution of the Garman PDE (homogeneous PDE).

To solve this problem, the closed form solution for each r i (T) is found by solving ∂ TC i T, r ∂ r = 0, i =1,2,3.

This lets us do the closed form solution.

The closed form solution has the form of gamma function.

The closed form solution of the maximum absorption power and corresponding power takeoff parameters are obtained.

Consequently, the closed form solution can be obtained.

Since our algorithm has the closed form solution in each iteration, the convergency is very fast.