Solution methods of neutron transport equation in nuclear reactors

review of radiographic methods in dental implantology

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Numerical Solution of Sawada-Kotera equation by using Iterative Methods

The Finite Element Response Matrix Method for the Solution of the Neutron Transport Equation

-The finite element response matrix method has been applied to the solution of the neutron transport equation. This method has previously been applied to the neutron diffusion equation for coarse mesh reactor analysis with excellent results. As with the diffusion equation implementation, the transport method employs a local-global projection technique to allow treatment of internal heterogeneit...

Spherical Harmonics Finite Element Solution of the Least-squares Neutron Transport Equation

To solve the neutron Boltzmann equation in anisotropic or void regions, one may use deterministic methods such as the discrete ordinates method or the even-parity approach. Both methods have shown numerous applications and developments in the last 30 years. Nevertheless both exhibit drawbacks in three-dimensions void regions that require special treatments, such as using characteristics method ...

Optimization of solution Kadomtsev-Petviashvili equation by using hompotopy methods

In this paper, the Kadomtsev-Petviashvili equation is solved by using the Adomian’s decomposition method , modified Adomian’s decomposition method , variational iteration method , modified variational iteration method, homotopy perturbation method, modified homotopy perturbation method and homotopy analysis method. The existence and uniqueness of the solution and convergence of the proposed...