Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients [PDF]
Computation, 2021 The matched interface and boundary method (MIB) and ghost fluid method (GFM) are two well-known methods for solving elliptic interface problems. Moreover, they can be coupled with efficient time advancing methods, such as the alternating direction ...
Chuan Li +3 more
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A Matched Alternating Direction Implicit (ADI) Method for Solving the Heat Equation with Interfaces [PDF]
Journal of Scientific Computing, 2014 A novel Douglas alternating direction implicit (ADI) method is proposed in this work to solve a two-dimensional (2D) heat equation with interfaces. The ADI scheme is a powerful finite difference method for solving parabolic equations, due to its unconditional stability and high efficiency.
Shan Zhao
exaly +3 more sources
Computers and Mathematics With Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuan Li, Shan Zhao
exaly +3 more sources
Comprehensive Numerical Analysis of Finite Difference Time Domain Methods for Improving Optical Waveguide Sensor Accuracy [PDF]
Sensors, 2016 This paper discusses numerical analysis methods for different geometrical features that have limited interval values for typically used sensor wavelengths.
M. Mosleh E. Abu Samak +3 more
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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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From Time-Collocated to Leapfrog Fundamental Schemes for ADI and CDI FDTD Methods
Axioms, 2022 The leapfrog schemes have been developed for unconditionally stable alternating-direction implicit (ADI) finite-difference time-domain (FDTD) method, and recently the complying-divergence implicit (CDI) FDTD method.
Eng Leong Tan
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Numerical Solution to the Fluid Flow in a Bend Duct Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The Fluid Flow in a bend Duct equation had been solved numerically by using two methods. The first is ADE (Alternating Direction Explicit) method and the second is ADI (Alternating Direction Implicit) method.
Badran Salem
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Alternating Directions Implicit Method for Solving Homogeneous Heat Diffusion Equation
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 An Alternating Directions Implicit method is presented to solve the homogeneous heat diffusion equation when the governing equation is a bi-harmonic equation (X) based on Alternative Direction Implicit (ADI).
Bushra Sh. Mahmood +2 more
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Partial Differential Equations in Applied Mathematics, 2023 This study suggests a novel three-level implicit half-step scheme of order two and four in time and space direction respectively, utilizing an unequal grid for the approximation of 2D quasi-linear hyperbolic partial differential equations on an unequal ...
R.K. Mohanty, Bishnu Pada Ghosh
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An Extension Use of ADI Method in the Solution of Biharmonic Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 The Biharmonic equation is one of partial differential equations which arise from discussion of some applied sciences such as fluid dynamics. In this paper, we have adopted a numerical method to solve that equation, this method is developed basically ...
Ahmed Jassim
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