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Ullah, Arif; Khan, Majid; Kamran, M; Khan, R; Sheng Zhengmao, E-mail: Majid.Khan@qau.edu.pk2017
AbstractAbstract
[en] For solving higher dimensional diffusion equations with an inhomogeneous diffusion coefficient, Monte Carlo (MC) techniques are considered to be more effective than other algorithms, such as finite element method or finite difference method. The inhomogeneity of diffusion coefficient strongly limits the use of different numerical techniques. For better convergence, methods with higher orders have been kept forward to allow MC codes with large step size. The main focus of this work is to look for operators that can produce converging results for large step sizes. As a first step, our comparative analysis has been applied to a general stochastic problem. Subsequently, our formulization is applied to the problem of pitch angle scattering resulting from Coulomb collisions of charge particles in the toroidal devices. (paper)
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Available from http://dx.doi.org/10.1088/2058-6272/aa8f3f; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Plasma Science and Technology; ISSN 1009-0630;
; v. 19(12); [9 p.]

Country of publication
ANNULAR SPACE, CALCULATION METHODS, CLOSED CONFIGURATIONS, CONFIGURATION, DIFFERENTIAL EQUATIONS, ELASTIC SCATTERING, ELECTROMAGNETIC INTERACTIONS, EQUATIONS, FUNDAMENTAL INTERACTIONS, INTERACTIONS, ITERATIVE METHODS, MAGNETIC FIELD CONFIGURATIONS, MATHEMATICAL SOLUTIONS, NUMERICAL SOLUTION, PARTIAL DIFFERENTIAL EQUATIONS, SCATTERING, SIMULATION, SPACE
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