Application of double Laplace decomposition method to solve a singular one-dimensional pseudohyperbolic equation. (August 2017)

• Record Type: Journal Article
• Authors: Eltayeb, Hassan; Mesloub, Said; Kılıçman, Adem
• Is Part Of: Advances in mechanical engineering. Volume 9:Number 8(2017:Aug.)
• Publication Date: 2017-08
• Subjects: Laplace transform -- inverse double Laplace transform -- singular pseudohyperbolic -- single Laplace transform -- decomposition methods and partial derivative; Mechanical engineering -- Periodicals; 621.05
• DOI: 10.1177/1687814017716638
• Languages: English
• ISSNs: 1687-8132

Abstract

In this work, the double Laplace decomposition method is applied to solve singular linear and nonlinear one-dimensional pseudohyperbolic equations. This method is based on double Laplace transform and decomposition methods. In addition, we prove the convergence of our method. This method is described and illustrated by some examples. These results show that the introduced method is highly accurate and easy to apply.