Slide - Equação de Laplace - 2024-1

Disciplina Calculo 4 ee i Professor Gustavo Henrique Miller UFSC FORMULARIO EDP EQUACAO DO CALOR 00 2 5 Condigoes de Dirichlet uxt vx S b sen e TZ at n1 ux 0 fx Ty T u0t Ty va L Joen uL t Ty 2 rt NTL bn f x vx sen dx 00 2 Condicgdes de N a 48 ondigdes de Neumann uat 5 dan cos e ux0 fx 2 ph d u0t 0 fo ch Ix de uLt 0 2 rt NTx An fx cos dx EQUACAO DA ONDA Condigoes te tant tant NTx de Dirichlet uxt a lan sen by cos sen z0 fx Q pL wle0 fle b fa sen dx ux 0 gx L Jo L u0t 0 2 L NTXx uLt 0 m ag gtrdsen SE ae Condicgoes do bot t8 tant tant NTx uxt bn sen Gp COS cos de Neumann 9 L L L ux0 fx 2 rt 2 rt nTx ao fa dx e dn Fx cos ae ux0 ga zh fe zh Moen ux0t 0 2 rh 2 L NTXL upLt 0 bo an gadr ee bh gx cos dx EQUACAO DE LAPLACE NO RETANGULO Condicoes de Dirichlet 0 ux y cn senh F sen uxz0 0 nl y y ux Ly 0 2 Ly 2 d u0y 0 L senh n72 I Fy sen Ly Condigées de N ner nay ondicgé6es de Neumann uxy 9 224 cosh L COS L Uyx0 0 Q pL Uy x Ly 0 ao a fx dx 2 Ly nry x Ly n ae 7 d ela S to ran ga Fee 4 ay