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maple求解偏微分方程组

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能求出通解来,在带入带入③④⑤⑥边界条件可以解出部分参数,但加入⑦⑧条件后,就无解了,不知道为什么,麻烦各位UU帮帮忙
数学模型如下:

代码如下:
f1 := [diff(v(x, y), y, y) + mu*diff(u(x, y), y, x) - v(x, y)*beta^2 = 0, diff(u(x, y), x, x) + mu*diff(v(x, y), y, x) - u(x, y)*beta^2 = 0, u(0, y) = 0, v(x, 0) = 0, D[2](u)(0, y) + D[1](v)(0, y) = 0, D[2](u)(x, 0) + D[1](v)(x, 0) = 0, D[1]*u(L/2, y) + mu*D[2]*v(L/2, y) - (mu + 1)*alpha*T = 0, D[2]*v(x, B/2) + mu*D[1]*u(x, B/2) - (mu + 1)*alpha*T = 0]
sov1 := pdsolve(f1);
convert({sov1[1], sov1[2]}, trig)
simplify(%)
带入条件③④⑤⑥后,求出的表达式经过简化后如下:


IP属地:江西1楼2023-08-15 17:03回复