Exact Solution of Linear and Nonlinear Wave Equations by Double Laplace and Iterative Method

Adesina K. Adio, Wumi S. Ajayi, Olabode O. Bamisile and Babatunde T. Akanbi

Journal of Mathematics Research, 2019, vol. 11, issue 5, 33-39

Abstract: A coupling of double Laplace transform with Iterative method is used to solve linear and nonlinear wave equations subject to initial and boundary conditions. The iteration process leads to disappearance of noise terms and exact solution is obtained at first iteration. Through several examples, the convenience and efficiency of the method is demonstrated, showing its usefulness to overcome difficulties associated with some existing techniques.

Keywords: double Laplace transform; Inverse double Laplace transform; iterative method; wave equations (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:11:y:2019:i:5:p:33

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