A homotopy analysis method for the nonlinear partial differential equations arising in engineering. Issue 2 (4th May 2017)

• Record Type: Journal Article
• Authors: Hariharan, G.
• Is Part Of: International journal for computational methods in engineering science and mechanics. Volume 18:Issue 2/3(2017)
• Page Start: 191
• Page End: 200
• Publication Date: 2017-05-04
• Subjects: Cauchy reaction–diffusion equation -- convergence analysis -- gas dynamic equation -- homotopy analysis method -- one-dimensional Schordinger equation; Engineering -- Data processing -- Periodicals; Engineering mathematics -- Periodicals; Computer-aided engineering -- Periodicals; 620.00420285
• DOI: 10.1080/15502287.2017.1310151
• Languages: English
• ISSNs: 1550-2287

Abstract

ABSTRACT: In this article, we have established the homotopy analysis method (HAM) for solving a few partial differential equations arising in engineering. This technique provides the solutions in rapid convergence series with computable terms for the problems with high degree of nonlinear terms appearing in the governing differential equations. The convergence analysis of the proposed method is also discussed. Finally, we have given some illustrative examples to demonstrate the validity and applicability of the proposed method.