Chapter 4: Coupled shallow water wave equations
P. Karunakara; Snehashish Chakravertyb a Department of Mathematics, Amrita Vishwa Vidyapeetham, Chennai, Tamil Nadu, Indiab Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India
Abstract
This chapter presents the solution of coupled shallow water wave equations governing tsunami wave propagation using the homotopy perturbation transform method (HPTM). HPTM consists of two parts: the first is the application of Laplace transform to the governing coupled differential equations and the second is using the homotopy perturbation method with the help of He's polynomials. The results obtained by HPTM are compared with existing results in the literature ...
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