New iterative method: Application to partial differential equations

Abstract

In the present article, we implement the new iterative method (NIM) proposed by Daftardar-Gejji and Jafari [V. Daftardar-Gejji, H. Jafari, An iterative method for solving non linear functional equations, J. Math. Anal. Appl. 316 (2006) 753–763] to solve linear/nonlinear partial differential equations of integer and fractional order. The results obtained are compared with those obtained by other iterative methods such as adomian decomposition, homotopy perturbation and variational iteration methods.