Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633596 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
Generalized approximation technique for the solution of heat transfer problem of the typeyâ³(x)-ϵy4(x)=0,xâ(0,1)subject to the boundary conditionsyâ²(0)=0,y(1)=1is 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 ϵ, both HPM and PM yield good approximation while for a bit larger value of ϵ, both the methods produce bad results. However, the GAM yields good results for any value of ϵ. Moreover, the GAM generates a sequence of solutions of linear problems that converges monotonically and quadratically to solution of the original nonlinear problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rahmat Ali Khan,