The New Combination of Semi-Analytical Iterative Method and Elzaki Transform for Solving Some Korteweg-de Vries Equations

The purpose of this research applied a method that includes the combination of an iterative method (Temimi and Ansari method (TAM)) and a new transform called the Elzaki transform (ET )for some Korteweg-de Vries (Kdv) equations. The TAM was present as a basic tool for solving Kdv equations with Elzaki transformation in the associated nonlinear equations because the Elzaki transformation cannot deal with nonlinear terms. It has been proven that the use of this method can be more reliable, accurate and fast if it has been using analytical methods alone.