A modification of He’s variational iteration method by Taylor’s series for solving second order nonlinear partial differential equations

In this work, a modification of He’s variational iteration method by Taylor’s series is used for finding the solution of the second order nonlinear partial differential equations. This modification expands the application of variational iteration method for those nonlinear equations which have logarithmic or trigonometric nonlinear part. To show the efficiency of the method, several examples are presented.

Variational iteration method; Nonlinear PDEs; Taylor series; Correction functional; Lagrange multiplier