Numerical Methods for Partial Differential Equations
Numerical solution techniques for partial differential equations, covering Poisson's equation, eigenvalue equations, heat conduction equation, and wave equation with implementation approaches
Multigrid Method for Solving Poisson Equations and Hyperbolic Equations
Implementation of multigrid solvers for Poisson equations and hyperbolic equations with practical code examples and algorithmic insights for computational applications.
Solving Poisson's Equation Using Finite Difference Method
Finite Difference Method for Solving Poisson's Equation - An Example Comparing Analytical and Numerical Solutions with Code Implementation
Finite Difference Method (FDM) for Field Discretization and Numerical Solution
The Finite Difference Method (FDM) discretizes a computational domain into small grid elements, applying difference principles to transform the problem of solving continuous Poisson equations into solving systems of difference equations at grid nodes.
Solving Poisson's Equation Using Finite Difference Method
This example demonstrates solving Poisson's equation using the finite difference method with SOR (Successive Over-Relaxation) iteration. The implementation models a square domain discretized into an 11×11 grid structure, where the grid density can be easily modified through parameter configuration.
Finite Element Method for Solving Poisson's Equation
MATLAB Implementation of Finite Element Method for Poisson's Equation - A Computational Program with Numerical Analysis and Visualization Capabilities
Finite Difference Method for Parallel Plate Capacitors
Implementing finite difference discretization for parallel plate capacitors and solving Poisson's equation to determine electric field distribution from space charges, with code implementation for numerical solutions.
Solving Elliptic Equations (Poisson Equation) in General 3D Field Simulations
Capable of solving elliptic equations (Poisson equations) in general three-dimensional field simulations with numerical implementation approaches
Surface Reconstruction from 2D Gradient Domain with Fast Poisson Equation Solver
Surface Reconstruction from 2D Gradient Domain with Fast Poisson Equation Solver