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Generalized approximation method for heat radiation equations
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DOI：10.1016/j.amc.2009.02.028.png)
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摘要
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Generalized approximation technique for the solution of heat transfer problem of the type y(''Omega)(x) - epsilon y(4)(x) = 0, x is an element of (0,1) subject to the boundary conditions y'(0) = 0, y(1) = 1 is developed. The results obtained by the generalized approximation method (GAM) are compared with the results obtained by the homotopy perturbation method (HPM) and the perturbation method (PM). For very small epsilon, both HPM and PM yield good approximation while for a bit larger value of epsilon, both the methods produce bad results. However, the GAM yields good results for any value of epsilon. Moreover, the GAM generates a sequence of solutions of linear problems that converges monotonically and quadratically to solution of the original nonlinear problem. (C) 2009 Elsevier Inc. All rights reserved.
Keyword:
Heat transfer
Radiation equation
Upper and lower solutions
Generalized approximation
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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