Results 11 to 20 of about 79,648 (296)
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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Improved Alternating Direction Implicit Method
Journal of Physics: Conference Series, 2020 Abstract The alternating direction implicit method (ADI) is a common classical numerical method that was first introduced to solve the heat equation in two or more spatial dimensions and can also be used to solve parabolic and elliptic partial differential equations as well.
Esraa Abbas Al-taai, Adel Rashed A. Ali
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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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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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Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this paper, we study three types of finite difference methods, to find the numerical solution of reaction difference systems of PDEs in two dimensions.
Abbas Al-Bayati +2 more
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3D complex envelope leapfrog ADI‐FDTD algorithm
Electronics Letters, 2021 This paper presents a 3D complex envelope leapfrog alternating‐direction‐implicit finite‐difference time‐domain method. Compared with the previous work, the proposed method costs less computation runtime and memory while maintaining similar accuracy. The
Yunyang Dong, Jianyi Zhou
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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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Computers in Biology and Medicine, 2021 It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac monodomain model.
Youssef Belhamadia, Zeinab Rammal
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Lietuvos Matematikos Rinkinys, 2019 The present paper deals with a generalization of the alternating-direction implicit (ADI) method for a two dimensional Poisson equation in a rectangle domain with a weighted integral boundary condition in one coordinate direction.
Olga Štikonienė, Mifodijus Sapagovas
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ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions
Mathematics, 2023 This paper deals with the numerical solution of nonlocal boundary-value problem for two-dimensional pseudoparabolic equation which arise in many physical phenomena.
Mifodijus Sapagovas +2 more
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