An Optimal Homotopy Analysis Transform Method for Handling Nonlinear PDEs

Author:

Al-Qudah Alaa,Odibat ZaidORCID,Shawagfeh Nabil

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Liao, S.: Beyond Perturbation: Introduction to the Homotopy Analysis Method. Chapman & Hall/CRC Press, Boca Raton (2003)

2. Liao, S.: On the homotopy analysis method for nonlinear problems. Appl. Math. Comput. 147(2), 499–513 (2004)

3. Liao, S., Tan, Y.: A general approach to obtain series solutions of nonlinear differential equations. Stud. Appl. Math. 119(4), 297–354 (2007)

4. Liao, S.: Notes on the homotopy analysis method: some definitions and theorems. Commun. Nonlinear Sci. Numer. Simul. 14(4), 983–997 (2009)

5. Sardanyes, J., Rodrigues, C., Janurio, C., Martins, N., Gil-Gmez, G., Duarte, J.: Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach. Appl. Math. Comput. 252(1), 484–495 (2015)

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