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Square Domain Module

The square_domain module provides functionality to work with square domains.

Available Functions

Main.square_domain.square_domain_boundary_condition — Function
square_domain_boundary_condition(points::Vector{Tuple{Float64, Float64}}) -> Vector{Float64}

Compute the boundary condition for a square domain problem.

Arguments

  • points::Vector{Tuple{Float64, Float64}}: A vector of tuples representing the x and y coordinates of the points on the boundary.

Returns

  • A Vector{Float64} representing the boundary condition at the corresponding points, calculated using the formula: (1 - x) * y * sin(π * x).

Example

```julia
points = [(0.1, 0.2), (0.3, 0.4), (0.5, 0.6)]
g = square_domain_boundary_condition(points)
```
source
Main.square_domain.square_domain_rhs — Function
square_domain_rhs(points::Matrix{Float64}) -> Float64

Compute the right-hand side function for a square domain problem.

Arguments

  • points::Matrix{Float64}: A matrix where each row represents the x and y coordinates of a point.

Returns

  • A Float64 value representing the right-hand side of the equation, computed using the formula: 15 * sin(π * sum(x)) * sin(π * sum(y)).

Example

```julia
points = [0.1 0.2; 0.3 0.4; 0.5 0.6]
f = square_domain_rhs(points)
```
source