伯格斯-费希尔 方程维基百科,自由的 encyclopedia 伯格斯-费希尔 方程 (Burgers Fisher)非线性偏微分方程有如下形式:[1] ∂ u ∂ t + u 2 ∗ ∂ u ∂ x − ∂ 2 u ∂ u 2 = u ∗ ( 1 − u 2 ) {\displaystyle {\frac {\partial u}{\partial t}}+u^{2}*{\frac {\partial u}{\partial x}}-{\frac {\partial ^{2}u}{\partial u^{2}}}=u*(1-u^{2})} Burgers Fisher PDE 3d Maple 图 Burgers Fisher pde Maple 动画 Burgers Fisher PDE Maple 图 此偏微分方程的解为: u ( x , t ) = 1 2 ∗ 1 − t a n h ( x 3 − 10 t 9 ) {\displaystyle u(x,t)={\frac {1}{2}}*{\sqrt {1-tanh({\frac {x}{3}}-{\frac {10t}{9}})}}} g [ 5 ] := u ( x , t ) = C 6 ∗ ( e x p ( C 1 − ( 1 / 3 ) ∗ x + ( 2 / 3 ) ∗ t ) ) 3 {\displaystyle g[5]:={u(x,t)=_{C}6*(exp(_{C}1-(1/3)*x+(2/3)*t))^{3}}}
伯格斯-费希尔 方程 (Burgers Fisher)非线性偏微分方程有如下形式:[1] ∂ u ∂ t + u 2 ∗ ∂ u ∂ x − ∂ 2 u ∂ u 2 = u ∗ ( 1 − u 2 ) {\displaystyle {\frac {\partial u}{\partial t}}+u^{2}*{\frac {\partial u}{\partial x}}-{\frac {\partial ^{2}u}{\partial u^{2}}}=u*(1-u^{2})} Burgers Fisher PDE 3d Maple 图 Burgers Fisher pde Maple 动画 Burgers Fisher PDE Maple 图 此偏微分方程的解为: u ( x , t ) = 1 2 ∗ 1 − t a n h ( x 3 − 10 t 9 ) {\displaystyle u(x,t)={\frac {1}{2}}*{\sqrt {1-tanh({\frac {x}{3}}-{\frac {10t}{9}})}}} g [ 5 ] := u ( x , t ) = C 6 ∗ ( e x p ( C 1 − ( 1 / 3 ) ∗ x + ( 2 / 3 ) ∗ t ) ) 3 {\displaystyle g[5]:={u(x,t)=_{C}6*(exp(_{C}1-(1/3)*x+(2/3)*t))^{3}}}