Translation for "alkuehtoa" to english
Translation examples
Tarkastellaan yksiulotteista lämmönjohtumisyhtälöä homogeenisilla Dirichletin reunaehdoilla U t = U x x {\displaystyle U_{t}=U_{xx}\,} U ( 0 , t ) = U ( 1 , t ) = 0 {\displaystyle U(0,t)=U(1,t)=0\,} (reunaehto) U ( x , 0 ) = U 0 ( x ) {\displaystyle U(x,0)=U_{0}(x)\,} (alkuehto) Yksi tapa ratkaista tämä yhtälö numeerisesti on approksimoida derivaattoja differenssilausekkeilla.
Consider the normalized heat equation in one dimension, with homogeneous Dirichlet boundary conditions U t = U x x {\displaystyle U_{t}=U_{xx}\,} U ( 0 , t ) = U ( 1 , t ) = 0 {\displaystyle U(0,t)=U(1,t)=0\,} (boundary condition) U ( x , 0 ) = U 0 ( x ) {\displaystyle U(x,0)=U_{0}(x)\,} (initial condition) One way to numerically solve this equation is to approximate all the derivatives by finite differences.
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