Solve the advection, Kdv and K (2, 2)‎ equations by using modified adomian decomposition method

Abstract EN

In this work, we proposed a new application of modified Domain decomposition method (MADM) to solve the advection, KdV and K (2, 2) equations depend on the idea of El-Kalla [7].

We prove the convergence of MADM applied to these equations.

Our results are compared with those obtained by Domain decomposition method (ADM).

The numerical results show that the present method has high accuracy, fast convergence and large convergence region.