Last change
on this file since 4 was
4,
checked in by zhangj, 10 years ago
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Initial import--MML version from SOLEIL@2013
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File size:
766 bytes
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1 | function pass = falknershan |
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2 | |
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3 | tol = chebfunpref('eps'); |
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4 | dom = domain(0,6); |
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5 | beta = 0.5; |
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6 | |
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7 | I = eye(dom); D = diff(dom); |
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8 | |
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9 | f = @(u) D^3*u + u.*(D^2*u) + beta*(1-(D*u).^2); |
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10 | dfdu = @(u) D^3 + diag(D^2*u) + diag(u)*D^2 - 2*beta*diag(D*u)*D; |
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11 | |
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12 | % Initial guess satisfies u(0)=u'(0)=0, u'(dom(2))=1 |
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13 | u = chebfun( @(x) x.^2/(2*dom(2)), dom ); |
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14 | |
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15 | % Boundary conditions for the Newton correction |
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16 | bcleft = struct('op',{I,D},'val',{0,0}); |
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17 | bcright = struct('op',D,'val',0); |
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18 | bc = struct('left',bcleft,'right',bcright); |
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19 | |
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20 | % Newton iteration |
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21 | du = Inf; niter = 0; |
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22 | while norm(du)>1e-10*(tol/eps) && niter < 11 |
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23 | r = f(u); |
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24 | J = dfdu(u); |
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25 | J.bc = bc; |
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26 | J.scale = norm(u); |
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27 | du = -(J\r); |
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28 | u = (u+du); |
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29 | niter = niter+1; |
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30 | end |
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31 | |
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32 | |
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33 | pass = abs( feval(diff(u,2),0) - 0.927680043004878) < 1e8*tol; |
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34 | |
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35 | |
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36 | |
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