A weighted algorithm based on Adomian decomposition method for solving an special class of evolution equations

作者：Shidfar A^*; Garsha**i M

来源：Communications in Nonlinear Science & Numerical Simulation, 2009, 14(4): 1146-1151.

DOI：10.1016/j.cnsns.2008.04.004

• Adomian decomposition method
• Evolution equation
• Nonlinear advection
• Diffusion and reaction equation

A particular PDE having nonlinear advection, diffusion and reaction subject to initial and boundary conditions is investigated by using an algorithm based on Adomian decomposition method. This algorithm uses initial and boundary conditions simultaneously and effectively for constructing the solution. Some examples are considered to illustrate the ability of this algorithm.

• 出版日期2009-4