Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

DOI10.1016/j.rinam.2021.100148zbMath1478.65101OpenAlexW3135464760MaRDI QIDQ2043836

Getinet Alemayehu Wolle, Melisew Tefera Belachew, Amanuel Hossiso Gatiso

Publication date: 3 August 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100148

zbMATH Keywords

Dirichlet boundary conditionPoisson equationdiscrete sine transformsixth-order compact finite difference

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Higher-order elliptic equations (35J30)

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Cites Work

• Unnamed Item
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• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations
• Analysis of a new high resolution upwind compact scheme
• A compact finite difference method for a class of time fractional convection-diffusion-wave equations with variable coefficients
• High-order compact ADI methods for parabolic equations
• Compact finite difference schemes with spectral-like resolution
• Optimized prefactored compact schemes.
• A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection-diffusion equations
• Fourth-order compact finite difference method for solving two-dimensional convection-diffusion equation
• Eighth-order compact finite difference scheme for 1D heat conduction equation
• New higher-order compact finite difference schemes for 1D heat conduction equations
• Comparisons of compact and classical finite difference solutions of stiff problems on nonuniform grids
• An efficient implementation of fourth-order compact finite difference scheme for Poisson equation with Dirichlet boundary conditions
• A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions
• Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
• A new higher order compact finite difference method for generalised Black-Scholes partial differential equation: European call option
• An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
• High-order compact schemes for nonlinear dispersive waves
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients
• A compact finite difference method for solving Burgers' equation
• Higher Order Compact Implicit Schemes for the Wave Equation
• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System
• Prefactored small-stencil compact schemes