Using generating functions to convert an implicit \((3,3)\) finite difference method to an explicit form on diffusion equation with different boundary conditions
DOI10.1007/s11075-015-0026-2zbMath1348.65116OpenAlexW1216058562MaRDI QIDQ281472
Ali Hatam, Mehdi Dehghan, Saeed Kazem, Edmund A. Chadwick
Publication date: 11 May 2016
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-015-0026-2
stability analysisfinite difference methodtridiagonal linear systemCrank-Nicolson methodtime-dependent diffusion equation
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Uses Software
Cites Work
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- Stability of central finite difference schemes for the Heston PDE
- Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
- A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
- Adaptive moving mesh methods
- A finite difference method for an anomalous sub-diffusion equation, theory and applications
- Numerical solution of the coupled viscous Burgers equation
- Power series solutions for the KPP equation
- An adaptive spectral least-squares scheme for the Burgers equation
- Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
- The group explicit method for the solution of Burger's equation
- A new explicit method for the diffusion-convection equation
- A finite difference analysis of a streamline diffusion method on a Shishkin mesh
- Uniformly convergent finite difference methods for singularly perturbed problems with turning points
- An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
- The solution of coupled Burgers' equations using Adomian-Padé technique
- Compact finite difference scheme for the solution of time fractional advection-dispersion equation
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Quasi-implicit and two-level explicit finite-difference procedures for solving the one-dimensional advection equation
- Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain
- Numerical solution of Burger's equation
- A numerical study of stationary solution of viscous Burgers’ equation using wavelet
- Finite‐difference methods for solving the reaction‐diffusion equations of a simple isothermal chemical system
- An efficient high-order algorithm for solving systems of reaction-diffusion equations
- A high‐order ADI finite difference scheme for a 3D reaction‐diffusion equation with neumann boundary condition
- A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
- Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions
- On the stability of alternating‐direction explicit methods for advection‐diffusion equations
- A fourth-order compact algorithm for nonlinear reaction-diffusion equations with Neumann boundary conditions
- Some Stable Explicit Difference Approximations to the Diffusion Equation
- Gaussian spectral rules for second order finite-difference schemes
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