@inproceedings{85e4afcf99f6439b861a45b464feab0c,

title = "The solution of non-linear diffusion equation under stochastic nonhomogeneity using symbolic WHEP and Pickard algorithms",

abstract = "In this paper, a nonlinear diffusion equation is studied under stochastic nonhomogeneity through homogeneous boundary conditions. The analytical solution for the linear case is obtained using the eigenfunction expansion. The Pickard approximation method is used to introduce a first order approximate solution for the nonlinear case. The WHEP technique is also used to obtain approximate solution under different orders and different corrections. Using Mathematica-5, the solution algorithm is operated through first order approximation. The method of solution is illustrated through case studies and figures.",

keywords = "Eigenfunction expansion, Nonlinear diffusion equation, Pickard approximation, WHEP technique",

author = "El-Tawil, {Magdy A.} and Al-Mulla, {Noha A.}",

year = "2010",

doi = "10.1007/978-3-642-11389-5_5",

language = "English (US)",

isbn = "9783642113888",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "75--100",

editor = "Gavrilova, {Marina L.} and Tan, {C.J. Kenneth}",

booktitle = "Transactions on Computational Science VII",

}