Research
Analytical Approach to Partial Differential Equations Arising In Mechanics
In this article, we implement relatively new analytical approach, Adomian decomposition method (ADM), for solving some selected partial differential equations in mechanics. This method in applied mathematics can be used as alternative method for obtaining exact solution for different types of partial differential equations. The method takes the form of a convergent series with easily computable components. The results obtained with minimum amount of computation indicate that the method is reliable and accurate.
A Comparison of Adomianas Decomposition Method and Picard Iterations Method in Solving Nonlinear Differential Equations
In this paper,nonlinear differential equations are solved through Adomian decomposition method(ADM) and the results are compared with those of Picard iterations method. It is noted that ADM takes the form of a convergent series with easily computable components. The ADM method is able to solve large class of nonlinear equations effectively, more easily and accurately; and thus the method has been widely applicable to solve any class of equations in sciences and engineering.
