New treatment of fractional Fornberg–Whitham equation via Laplace transform

By Jagdev Singh, Devendra Kumar, Sunil Kumar. 2013

63 citations recorded by the source corpus.

Abstract In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3cb41ec5f8241a8a137482f69429339f4b451e53

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method (2015, methodology): “Various ways have been proposed recently to deal such nonlinearities such as the Laplace decomposition algorithm [24–27] and the homotopy perturbation transform method (HPTM) [28–30] to produce highly effective techniques for solving many nonlinear problems.”
Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation (2015, unknown): “If m is the smallest integer that exceeds a, then the Caputo time-fractional derivative operator of order a > 0 is defined as Please Whith C 0D a t uðx; tÞ ¼ 1 Cðm aÞ R t 0 ðt sÞ m a 1 @muðx;sÞ @sm ds; m 1 < a < m @muðx;tÞ @tm ; a ¼ m 2 N 8< : :”