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program equa_diff;

uses crt;

const Dim_Max=1001,.

type vecteur=array[0. .Dim_Max] of real;

var n: integer,. x, lambda _,mu, valeur _,valeur function a(x:real ₎:real ;

begin

a::L/ (x+1);

end;

function b(x:rea1 ₎:real ;

begin

b::(x+2 ) *exp(x) _; end;

_app: real ^,.u : vecteur;

.t

^r-t

{o^rlru" ^§Àr#tüÊ-

\^* ^A p.t ir ^É

^r

\

"} u

nn-*trff _-

tluro.a§e"{-p

t.i ^Vtt

^Co,,3,

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₌^a

iirl

Ê*;rr.fu

(e..fr.^ tlu r^oi. c\f&

=btlt

Donnez Donnez

Valeur Valeur DeIta

i, (tt,;ct

{t ç.ô, r'},

{to;:

^'r

1a valeur de n (n<:1000). n:l-OO

la valeur de x. x:0.4

approchée z 2.08862249308+00

z 2.08855457678+00

: -6.79]-62985768-05

ur. _çéqOtr.-

(15)

P.ts

procedure calcule_u ⁽n: integer; ^Iambda,^mu:real ; var u: vecteur _{) ;}

-

var k: integer; ^h,ch: real i c, d: vecteur;

begin

hz:L/ (n+l);ch::h*h;

c[1 _]t:L/( 2+ch*a(h) ₎;dt ¹I :=c[ 1]*(-b(h)*cn+tambda) ;

for k:=2 to n-1- do

begin

c Ik] ^z:L/⁽2+ch!ta(k,th) -cIk-1 ] ) ;

dtkl ;:( -ch*b(k,th) ^+dIk-1-] ⁾*c Ik] ^;

end;

cIn] ::1/ ⁽(2+ch:ta(n*h) )-cIn-l] );aIn13:( (-ch*b(n*h)+mu)+dIn-l] )*cIn]

u[ 0 ] ::lambda;uIn+]- _I: :mu;uIn] : =dIn] ;

for k:=n-1 downto L do u[k]::dIk]+cIk]*uIk+l];

end;

functi-on evalue(x:real ;n: integer;u:vecteur) :reat ;

var k:integer;

begin

if x=1 then evalue:=uIn+l]

else begin

k:=trunc(x*(n+1) );

evalue :=(ulk+1 l-uIk] ⁾^{* (n+1}⁾^rc(x-Ir./(n+1_ ₎)+uIk] ^;

end;

begin

lambda I =1 ;mu : =Z*exp( ¹_{) ;}

write( ^rDonnez_1avaleur de

wri-te(,Donnez Ia valeur de

calcule_u ( n, lambda, mu, u ) ^I

valeur: :( _1+x)*exp(x) _;

valeur_app : =evalue ⁽^x,r, u ) i

n (n<:1000). n:r)

x- x:');readln(x) ^;readln(n),

?toyo.rc ;rï*ri;t ^I^-

writeln( ^rValeur_approchée: ^rrvaleur_app)

writeln( rValeur _:-^Trvaleur);

writeln(,Delta i r,valeurivaleur_app)

;

end.

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