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So, this paper presents a powerful numerical approach based on an iterative technique and Sinc quadrature to estimate a solution for this equation.
Volterra type integral equations are appeared in many engineering fields, so that, we select Volterra integral equation of the first kind and wavelets as basis functions to estimate a solution for this kind of equations.
However, it is not yet wide spread in the industry because of poor performance and a lack of a cost model to estimate a solution early in the design process.
In order to estimate a solution of a boundary value problem for a difference equation, it is possible to use the representation of this solution by Green's function [9].
The second problem is of numerical nature in that it gets hard to estimate a solution in ℝ even under ideal circumstances.
Given prior distributions for the ɛ's and the β's for all genes, the Markov-Chain Monte-Carlo (MCMC) method developed by Hastings (Hastings 1970) makes it possible to estimate a solution to Equation 5 and identify the "best" network.
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GA [46] was a heuristic, which stated that it estimated a solution and generated the optimized results.
A well-known approach for estimating a solution to this equation is to use plug-in estimates.
A closure-based OH correlation analysis (COHCOA) estimates a solution to Equation 1 to determine a two-point correlation function that is directly read out by MOHCA-seq.
But by (3.3) every solution of the system (3.12), (3.13) satisfying such an estimate is a solution of the system (1.1), (1.2), too.
In Section 3, we will obtain the existence for solutions of (1.1)–(1.5) by converting the problem into the contraction mapping principle and the norm estimate of a solution of the above nonlinear equation on.
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