Numerical Simulation of the 2D Wave Equation with Boundary Conditions
Numerical simulation of the two-dimensional wave equation implementation with boundary condition handling and code implementation strategies
Calculating Electromagnetic Field Problems Using the Finite Element Method
Solving electromagnetic field problems with finite element algorithm implementation, covering both Dirichlet (first-type) and Neumann (second-type) boundary conditions in computational modeling
Solving Wave Equations Using Finite Difference Methods
Applying finite difference equations to solve wave equations with configurable boundary conditions using numerical discretization approaches
2D FDTD Implementation Built Upon 1D Foundation
This program extends the 1D FDTD method to two dimensions, enabling electromagnetic field calculations in waveguides and optical fibers. The implementation includes detailed boundary condition configuration methods, featuring PML (Perfectly Matched Layer) absorption boundaries and periodic boundary implementations for accurate simulations.
Second-Order Elliptic Partial Differential Equation Solver
Numerical Solution Program for Second-Order Elliptic Partial Differential Equations
Solving Wave Equations Using Difference Equations
Applying finite difference methods to solve wave equations with numerical implementation approaches
FDTD Method with Anisotropic Uniaxial Perfectly Matched Layer (UPML) Boundary Conditions
FDTD-UPML Implementation with Anisotropic Boundary Conditions for Electromagnetic Wave Absorption
Determining Intersection of Two Line Segments in the Same Plane
Algorithm for detecting whether two line segments on the same plane intersect, with implementation using vector cross-product properties