International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 42389, 29 p.
doi:10.1155/IJMMS/2006/42389
The decomposition method for linear, one-dimensional, time-dependent partial differential equations
D. Lesnic
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
Abstract
The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics.