Solution of Nonlinear Partial Differential Equations by Mixture Adomian Decomposition Method and Sumudu Transform

This chapter is fundamentally centering on the application of the Adomian
decomposition method and Sumudu transform for solving the nonlinear partial
differential equations. It has instituted some theorems, definitions, and properties
of Adomian decomposition and Sumudu transform. This chapter is an elegant combination of the Adomian decomposition method and Sumudu transform. Consequently, it provides the solution in the form of convergent series, then, it is applied to solve nonlinear partial differential equations.