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In this paper a numerical algorithm, based on the decomposition technique, is presented for solving a class of nonlinear boundary value problems.
Lan et al. [14] constructed some iterative algorithms for solving a class of nonlinear -monotone operator inclusion systems involving nonmonotone set-valued mappings in Hilbert spaces.
In this work, we presented several conservative compact schemes for solving a class of nonlinear Schrödinger equations with wave operator.
Fleck Jr. [6] proposed a cubic spline method for solving a wave equation of nonlinear optics.
The paper deals with an approximate method for solving a mixed boundary value problem for nonlinear difference equations containing a maximum of the unknown function over a past time interval.
The solution of the ASE-I scheme (12) for solving a nonlinear Leland equation exists and is unique.
Whereas PFR trajectories are calculated by integration, the trajectory associated with a CSTR is found by solving a system of nonlinear equations for a given value of residence time.
This algorithm is an important implicit or explicit iterative method for solving the solutions of nonlinear ordinary differential equations [2].
We construct some new iterative algorithms for solving this kind of nonlinear operator equations.
There are several methods for solving these kinds of nonlinear equations.
In recent years, several authors have studied different techniques such as the mixed monotone iterative method [5 7], the numerical methods [8 10] and the variational iteration method [11, 12] for solving initial value problems (IVP) of nonlinear integro-differential equations.
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