Implementation of variational iteration method for various types of linear and nonlinear partial differential equations

There are various linear and nonlinear one-dimensional partial differential equations that the focus of this research. a large number these cannot be solved analytically or precisely. The evaluation equations, even if analytical solutions exist, may problematic. Therefore, it necessary to use approximate methodologies solve issues. As result, more effective accurate approach must investigated analyzed. It is shown in study Lagrange multiplier used get an ideal value for parameters functional form then construct iterative series solution. Linear both using variational iteration method (VIM) method, thanks its high computing power efficiency. Decoding analyzing possible Korteweg-De-Vries, Benjamin, Airy demonstrates method’s ability. With just few iterations, produced findings very effective, precise, convergent exact answer. solving VIM regarded as viable option.