International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 6, Pages 855-861
doi:10.1155/IJMMS.2005.855
A decomposition method for a semilinear boundary value problem with a quadratic nonlinearity
Michael S. Gordon
Department of Mathematics, College of Arts and Sciences, University of West Georgia, Carrollton 30118, GA, USA
Abstract
The author adapts the decomposition method of Adomian to find a series solution of a one-dimensional boundary value problem for a semilinear heat equation with a quadratic nonlinearity. Local and global convergence results are obtained.