% Example of an integral system of equations ode = { @(x,y) y{1}-volt(y{1}, @(x,t) sin(x-t)-1)-volt(y{2},@(x,t) 1-t*cos(x)), ... @(x) -0.5*(x-2)*sin(x)-x*cos(x)^2+(sin(x)+2)*cos(x)-1; ... @(x,y) y{2}-volt(y{1})-volt(y{2},@(x,t) x-t), ... @(x) -x+sin(x)}; domain = [0, 1]; conditions = []; options = tau.settings('basis', 'ChebyshevT', 'degree', 15); problem = tau.problem(ode, domain, conditions, options); yn = tau.solve(problem); solution = tau.polynomial({@cos; @sin}, problem.options); plot(yn-solution); title('Error') legend('cos', 'sin')
