Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation
2010 ◽
Vol 2010
◽
pp. 1-10
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Keyword(s):
We consider a Cauchy problem of unidimensional nonlinear diffusion equation on finite interval. This problem is ill-posed and its approximate solution is unstable. We apply the He's homotopy perturbation method (HPM) and obtain the third-order asymptotic expansion. We show that if the conductivity term in diffusion equation has a specified condition, the above solution can be estimated. Finally, a numerical experiment is provided to illustrate the method.
2013 ◽
Vol 23
(3)
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pp. 427-435
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Keyword(s):
2009 ◽
Vol 208
(2)
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pp. 434-439
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Keyword(s):
2013 ◽
Vol 37
(5)
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pp. 3589-3599
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1988 ◽
Vol 40
(3)
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pp. 183-204
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2009 ◽
Vol 36
(11-12)
◽
pp. 1711-1717
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2010 ◽
Vol 11
(Supplement)
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