English

Modified DJ method: Application to Boussinesq equation

Analysis of PDEs 2020-07-21 v1

Abstract

In this paper we present a modification of DJ Method [J. Math. Anal. Appl. 316 (2006), 753-763] to solve the nonlinear equations more efficiently. It is observed that the modified DJ method is faster and hence it has accelerated convergence rate as compared to the old one. We use this new method to find the analytical solutions of Boussinesq equation. The reported results are compared with the exact solutions. Further, we compare the absolute error in our solution with those in other iterative methods. It is observed that the presented method is simple and generates more accurate solutions as compared with other methods.

Keywords

Cite

@article{arxiv.2007.09986,
  title  = {Modified DJ method: Application to Boussinesq equation},
  author = {Jayvant Patade and Sachin Bhalekar},
  journal= {arXiv preprint arXiv:2007.09986},
  year   = {2020}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-23T17:14:27.994Z