Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena

Sayevand, Khosro; Băleanu, Dumitru; Fardi, Mojtaba

doi:10.2478/s11534-014-0475-6

Cited by 1 publication

(1 citation statement)

References 33 publications

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“…An extension of modified Adomian decomposition method (Khodabakhshi et al, 2014) was successfully applied to solve initial value problem for differential equations of fractional order. Exact traveling wave solution for nonlinear differential equations (Sayevand et al, 2014) has also been investigated using a general functional transformation. Two-dimensional Chebyshev wavelet method (Gupta and Saha Ray, 2015) has been used to obtain numerical approximations to the solution of fractional fifth-order Sawada-Kotera equation.…”

Section: Introductionmentioning

confidence: 99%

Application of homotopy analysis method to the solution of ninth order boundary value problems in AFTI-F16 fighters

Akram

Sadaf

2017

Journal of the Association of Arab Universities for Basic and A

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This paper is devoted to the study of ninth order boundary value problems that emerge in the mathematical modeling of AFTI-F16 fighter. An augmented longitudinal and lateral dynamics of the AFTI-F16 fighter is described by ninth order differential equations, containing unknown parameters which can be determined using automated system identification algorithms. The solution of the boundary value problem is obtained in terms of a convergent series using homotopy analysis method (HAM). The method is effectively applied on numerical examples and the results are compared with those given in the literature, revealing that the presented method gives better approximations to the exact solution.

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Section: Introductionmentioning

confidence: 99%