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Convergence analysis shows that the representation is uniformly convergent, which is computer friendly, and can be applied to approximate computations.
Finally, the proposed method in this paper can be applied to approximate e m (t,x) in Equation 42.
Based on Theorem 4.2, Theorems 3.1 and 3.2 can be applied to approximate the equilibrium solution of (4.1).
Brownian motion, as a continuous and normally distributed random process, could be applied to approximate asset prices' volatile path.
The paper intends to introduce an efficient computational method which can be applied to approximate solution of the linear two-dimensional Fredholm integral equation of the second kind.
We strongly believed that the results of this paper will continue to be applied to approximate solutions of equilibrium problems in nonlinear operator theory.
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In addition to the capability of interpolatory modeling, the proposed PMR method can also be applied to approximating schemes, which further enriches the capability of such schemes in both modeling and isogeometric analysis of some models in a more appropriate and convenient manner.
Then, least squares method is applied to approximate ground curves and to determine the ground height.
Firstly, the θ-methods are applied to approximate the original equation.
The notion of dominated mappings is applied to approximate the unique solution of nonlinear functional equations.
Similarly, the present method is applied to approximate solution of the integral equations system.
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