...Antonio García‐Olivares A general method is proposed to approximate the analytical solution of any time‐dependent partial differential equation with boundary conditions defined on the four sides of a rectangle. To ensure that the approximant satisfies the boundary conditions problem...

...Antonio García‐Olivares Adomian's method is completed to obtain the analytic solution of any partial differential equation with boundary conditions defined on the four sides of a rectangle. Adomian's decomposition method is first used to obtain the N‐order approximant to the one direction partial...

... of equation (1.1) including Dirichlet’s boundary conditions. Then it becomes possible to solve frontier problems using the decomposition method of Adomian. © MCB UP Limited 1998 For simplicity, we select the one‐dimensional case in space, although the method can be adapted without difficulties...

...M. Hadizadeh; K. Maleknejad The Adomian decomposition method is used and applied to the mathematical model of a biosensor. This model consists of a heat equation with non‐linear and non‐local boundary conditions. To obtain a canonical form of Adomian, an equivalent non‐linear Volterra integral...