write a script to solve laplace equation on a rectangular domain using finite element method in matlab

main.m
% Define rectangular domain
xMin = 0;
xMax = 1;
yMin = 0;
yMax = 1;
g = [xMin xMax xMax xMin;
     yMin yMin yMax yMax];
% Generate mesh
numElements = 4;
model = createpde();
geometryFromEdges(model, g);
generateMesh(model, 'Hmax', 0.2);
% Define coefficient function
c = 1;
a = @(region, ~) c*ones(1, numel(region.x));
f = @(region, ~) zeros(1, numel(region.x));
specifyCoefficients(model, 'm', 0, 'd', 0, 'c', a, 'a', 0, 'f', f);
% Define boundary conditions
applyBoundaryCondition(model, 'dirichlet', 'Edge', 1, 'u', 0);
applyBoundaryCondition(model, 'dirichlet', 'Edge', 2, 'u', 1);
applyBoundaryCondition(model, 'dirichlet', 'Edge', 3, 'u', 0);
applyBoundaryCondition(model, 'dirichlet', 'Edge', 4, 'u', 0);
% Assemble stiffness matrix and load vector
S = assembleStiffnessMatrix(model);
F = assembleLoadVector(model);
% Apply boundary conditions to the system of equations
[B, b] = applyBoundaryConditionToMatrices(S, F, model);
% Solve the system of linear equations
u = B\b;
% Plot solution
pdeplot(model,'XYData',u,'Contour','on');
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