Finite Difference Method for the Reverse Parabolic Problem
Abstract and Applied Analysis, 2012 A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied.
Charyyar Ashyralyyev +2 more
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Journal of Physics: Theories and Applications, 2018 The purpose of this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
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Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments
Entropy, 2023 A novel dimension splitting method is proposed for the efficient numerical simulation of a biochemotaxis model, which is a coupled system of chemotaxis–fluid equations and incompressible Navier–Stokes equations.
Xingying Zhou +3 more
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, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational ...
Beilina, L.
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A Two-Level Method for Mimetic Finite Difference Discretizations of Elliptic Problems [PDF]
, 2014 We propose and analyze a two-level method for mimetic finite difference approximations of second order elliptic boundary value problems. We prove that the two-level algorithm is uniformly convergent, i.e., the number of iterations needed to achieve ...
Antonietti, Paola F. +2 more
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Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we construct a difference potentials method (DPM) based on the locally one-dimensional (LOD) technique to solve the two-dimensional nonlinear convection-diffusion interface problems. The advantage of using the LOD scheme is that the linear
Mahboubeh Tavakoli Tameh +1 more
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Modelling metallic discontinuities with the non-orthogonal finite difference time domain method [PDF]
, 2004 Numerical electromagnetic models, such as the finite difference time domain (FDTD) method, have many applications. The authors focus on the non-orthogonal FDTD method, which offers an improved geometric flexibility compared to other standard techniques ...
C.J. Railton +7 more
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An Extended Finite Difference Method for Singular Perturbation Problems on a Non-Uniform Mesh
International Journal of Applied Mechanics and Engineering, 2022 An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem.
D. Swarnakar +2 more
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Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations [PDF]
, 2013 We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spurious oscillations.
Filbet, Francis, Yang, Chang
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Re-constructing the river bed using the streamline-generation method
MethodsXRiver bed reconstruction plays an essential part in supporting the hydrodynamic simulation and understanding the morphological processes of a river. The streamlines can be solved using Laplace equations.
Zohre Aghamolaei +1 more
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