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Alternating direction implicit method for poisson equation with integral conditions
Mathematical Modelling and Analysis, 2023 In this paper, we investigate the convergence of the Peaceman-Rachford Alternating Direction Implicit method for the system of difference equations, approximating the two-dimensional elliptic equations in rectangular domain with nonlocal integral ...
Olga Štikonienė, Mifodijus Sapagovas
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An Alternating Direction Implicit Method for Modeling of Fluid Flow [PDF]
Journal of Hydraulic Structures, 2018 This research includes of the numerical modeling of fluids in two-dimensional cavity. The cavity flow is an important theoretical problem. In this research, modeling was carried out based on an alternating direction implicit via Vorticity-Stream function
Iraj saeedpanah, Arash Adib
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Alternating Direction Implicit Method for Solving Heat Diffusion Problems
Tikrit Journal of Pure Science, 2021 The objective of this paper to find the solution of fractional partial differential equations using numerical methods to solve heat diffusion problems and this method is the implicit alternating direction method ADI with discussion of its algorithm and ...
Awni M. Gaftan +2 more
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An Algorithm for the Simulation of the Magnetized Neutron Star Cooling
EPJ Web of Conferences, 2016 A model and algorithm for the cooling of the magnetized neutron stars are presented. The cooling evolution described by a system of parabolic partial differential equations with non-linear coeffcients is solved using the Alternating Direction Implicit ...
Grigorian H. +4 more
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Alternating direction implicit method with exponential upwinding
Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manoranjan, V.S., Gomez, M.O.
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Alternating Direction Implicit Method for Solving Parabolic Partial Differential Equations in Three Dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 In this paper, the parabolic partial differential equations in three-dimensions are solved by two types of finite differences, such as, Alternating Direction Explicit (ADE) method and Alternating Direction Implicit (ADI) method.
Abdulghafor Al-Rozbayani, Mahmood Yahya
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Kuwait Journal of Science, 2021 A fast-implicit iteration scheme called Alternating Cell Directions Implicit method is combined with Approximate Factorization scheme. Usage of fast implicit iteration methods with unstructured grids is not absent.
Ali Ruhşen ÇETE
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Implicit Alternating Direction Methods [PDF]
Transactions of the American Mathematical Society, 1959 in general plane regions and with respect to linear boundary conditions, is a classical problem of numerical analysis. Many such boundary value problems have been solved successfully on high-speed computing machines, using the (iterative) Young-Frankel "successive overrelaxation" (SOR) method as defined in [1 ] and [2], and variants thereof ("line" and
Birkhoff, Garrett, Varga, Richard S.
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Alternating directions implicit integration in a general linear method framework
Journal of Computational and Applied Mathematics, 2021 Alternating Directions Implicit (ADI) integration is an operator splitting approach to solve parabolic and elliptic partial differential equations in multiple dimensions based on solving sequentially a set of related one-dimensional equations. Classical ADI methods have order at most two, due to the splitting errors.
Arash Sarshar +2 more
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Structured Shamanskii methods for Chandrasekhar equation arising from radiation; pp. 97–108 [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 The Chandrasekhar equation describes the particles emerging from the atmospheric radiation and its solution of physical significance is the minimal positive solution.
Ning Dong, Bo Yu, Zhaoyun Meng
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