Основные математические функции в matlab

№ п/п	Математическая функция	Функция в MATLAB	№ п/п	Математическая функция	Функция в MATLAB
	sin(x)	sin(x)		arcsin(x)	asin(x)
	cos(x)	cos(x)		arccos(x)	acos(x)
	tg(x)	tan(x)		arctg(x)	atan(x)
		exp(x)		sinh(x)	sinh(x)
	ln(x)	log(x)		cosh(x)	cosh(x)
	lg(x)	log10(x)		tgh(x)	tgh(x)
		sqrt(x)		arcsinh(x)	asinh(x)
		x^2		arccosh(x)	acosh(x)
		abs(x)		arctgh(x)	atanh(x)

function [X, Y, U ] = dirichlet(h, Region, fn, fnborder, varargin)

if nargin < 1 || isempty(h)

h = 0.02;

end;

if nargin < 2 || isempty(Region)

Region = 'L';

end;

if nargin < 3 || isempty(fn)

fn = @fun;

end;

if nargin < 4 || isempty(fnborder)

fnborder = @funborder;

end;

x0 = 0;

x1 = 1;

n = (x1 - x0)/h + 3;

[X, Y ] = meshgrid(linspace(x0 - h, x1 + h, n));

U = zeros(n);

U(:) = NaN;

R = numgrid(Region, n);

B = numgridborder(R);

Region = R > 0;

Border = B > 0;

region = R(Region);

border = R(Border);

nregion = length(region);

nborder = length(border);

A = -delsq(R)/h^2;

f = zeros(nregion, 1);

f (region) = feval(fn, X (Region), Y (Region), varargin{:});

A(border,:) = sparse(1:nborder, border, 1, nborder, nregion);

f (border) = feval(fnborder, X (Border), Y (Border), varargin{:});

u = A\f;

U(Region) = u(region);

X = X(2:n-1, 2:n-1);

Y = Y (2:n-1, 2:n-1);

U = U(2:n-1, 2:n-1);

clf

shg

surfc(X, Y, U);

shading interp;

view(-63, 17)

function f = fun(x, y)

f = 50*(4*x-2*y);

function f = funborder(x, y)

f = 2*x-3*y;