Geodesic
A hybrid solution approach to the Korteweg-de Vries and Burgers' equations
Mathematica Applicanda, Tome 49 (2021) no. 2, pp. 159-170.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The primary purpose of this paper is to analyze the application of a new integral transform together with a homotopy perturbation method to construct approximate solutions of the initial-value problem for Korteweg-de Vries and Burgers’ equations. The new integral transform homotopy perturbation method (NIHPTM) compared to other methods, offers the simple technique to handle such type partial differential equations. The 5th-order approximation results obtained in illustrative examples compared with the explicit solutions of the considered problems show the proposed approach’s efficiency and validity.
DOI : 10.14708/ma.v49i2.7095
Classification : 00A69,35-XX, 65H20
Mots-clés : New integral transform, Homotopy perturbation Method, KdV equation, Burgers' equation. 
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Kunjan Shah; Himanshu Patel. A hybrid solution approach to the Korteweg-de Vries and Burgers' equations. Mathematica Applicanda, Tome 49 (2021) no. 2, pp.  159-170. doi : 10.14708/ma.v49i2.7095. http://geodesic.mathdoc.fr/articles/10.14708/ma.v49i2.7095/

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