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By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces.
We put into exercise a comparatively innovative analytical modus operandi, the homotopy decomposition method (HDM), for solving a system of nonlinear partial differential equations arising in an attractor one-dimensional Keller-Segel dynamics system.
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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.
The method reduces solving the nonlinear ordinary differential equation to solve a system of nonlinear algebraic equations.
However, we have to solve a system of nonlinear equations at each time level.
In Algorithm 3.1, one needs to solve a system of nonlinear equations (3.1) at each iteration.
Newton's method is a well-known procedure to solve a system of nonlinear equations.
This approach is a bit more intricate than the first, but comes with the advantage that we do not need to solve a system of nonlinear equations.
Also, for an 802.11 network with two links, we have to solve a system of six nonlinear equations to compute the admissible region.
Homotopy decomposition method is given in [27] to solve a system of fractional nonlinear differential equations that arise in the model for HIV infection of CD4+ T-cells.
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.
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