Proceedings ArticleDOI
Solving time-fractional nonlinear coupled Boussinesq-Burgers equations arise in propagation of shallow water waves using adomian decomposition method
L. Meenatchi,M. Kaliyappan +1 more
- Vol. 2095, Iss: 1, pp 030015
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The article was published on 2019-04-01. It has received 4 citations till now. The article focuses on the topics: Adomian decomposition method.read more
Citations
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Journal Article
Fractional-order viscoelasticity in one-dimensional blood flow models
TL;DR: In this paper, the authors employ integer-and fractional-order viscoelastic models in a one-dimensional blood flow solver, and study their behavior by presenting an in-silico study on a large patient-specific cranial network.
Journal ArticleDOI
Analytical solution of nonlinear differential equations two oscillators mechanism using Akbari–Ganji method
TL;DR: In the last decade, many potent analytical methods have been utilized to find the approximate solution of nonlinear differential equations as mentioned in this paper, some of these methods are energy balance method (EBM), Hoare method (Hoare method), and the EBM method.
Journal ArticleDOI
Impact of Multiplicative Noise on the Exact Solutions of the Fractional-Stochastic Boussinesq-Burger System
TL;DR: In this article , the Jacobi elliptic function was used to create creative elliptic, hyperbolic, and rational fractional-stochastic solutions for FSBBS, and the influence of the multiplicative Brownian motion on these solutions was discussed.
Journal ArticleDOI
Short-Term and Long-Term Solutions of Two-Dimensional Shallow Water Equations Using the Modified Decomposition Method
TL;DR: In this paper, two modifications of the decomposition method (DM) including its multistage form (say MSDM) and its combination with the Pade approximants (say DMPA) are proposed and applied for the short-term and long-term solutions of two-dimensional shallow water equations (SWEs) including friction effects.
References
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Book
Partial Differential Equations and Solitary Waves Theory
TL;DR: Partial Differential Equations (PDE) as discussed by the authors is a family of KdV-type Equations of higher-orders, which can be found in the family of Camassa-Holm and Schrodinger Equations.
Book
Homotopy Analysis Method in Nonlinear Differential Equations
TL;DR: In this paper, a convergence series for Divergent Taylor Series is proposed to solve nonlinear initial value problems and nonlinear Eigenvalue problems with free or moving boundary in heat transfer.
Journal ArticleDOI
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
TL;DR: In this article, the authors demonstrate that it is possible to attribute physical meaning to initial conditions expressed in terms of Riemann-Liouville fractional derivatives and obtain initial values for such initial conditions by appropriate measurements or observations.
Journal ArticleDOI
The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
Ahmed M. A. El-Sayed,M. Gaber +1 more
TL;DR: The Adomian decomposition method has been successively used to find the explicit and numerical solutions of the time fractional partial differential equations as mentioned in this paper, which has been used to solve different examples of special interest with fractional time and space derivatives of order α.
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