The solution of nonlinear coagulation problem with mass loss

By E. M. Abulwafa, Mohamed Aly Mohamed Abdou, A. A. Mahmoud. 2006

174 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/73acd6e141e72bfd32d95a7a8d2000b97959b9a5

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

1. Elyas Shivanian
2. Xu-Hong Wu
3. Mohammad Masoud Javidi
4. Saeid Abbasbandy
5. Ahmad Golbabai
6. Ji-Huan He
7. Jafar Biazar
8. Da-Hua Shou

In Modeling and Simulation

1. Elyas Shivanian
2. Ji-Huan He
3. Mohammad Masoud Javidi
4. Ahmad Golbabai
5. Saeid Abbasbandy
6. Xu-Hong Wu
7. Syed Tauseef Mohyud-Din
8. Muhammad Aslam Noor

In Numerical Analysis

1. Elyas Shivanian
2. Ji-Huan He
3. Saeid Abbasbandy
4. Xu-Hong Wu
5. Ahmad Golbabai
6. Mohammad Masoud Javidi
7. Syed Tauseef Mohyud-Din
8. Muhammad Aslam Noor

Citations in the corpus

• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS (2006, unknown): “Most authors found that the shortcomings arising in Adomian method can be completely eliminated by the variational iteration method.(6,7,17,96,97,103,111,112) To illustrate the basic idea of the variational iteration method, we consider the following general nonlinear system: Lu + Nu = g(x) , (2.”
• Variational iteration method: New development and applications (2007, background): “to nonlinear coagulation problem with mass loss [32] and to nonlinear fluid flows in pipe-like domain [33], Ariel et al.”
• Variational iteration method—Some recent results and new interpretations (2007, unknown): “Variational iteration method The variational iteration method [2–4,23] has been shown to solve effectively, easily, and accurately a large class of nonlinear problems with approximations converging rapidly to accurate solutions.”
• Modified homotopy perturbation method for solving non-linear Fredholm integral equations (2009, unknown): “All rights reserved.”
• A new domain decomposition algorithm for generalized Burger’s–Huxley equation based on Chebyshev polynomials and preconditioning (2009, methodology): “Recently various powerful mathematical methods such as homotopy perturbation method [6–8], variational iteration method [9–18], Exp-function method [19,20], F-expansion method [21], and others [22,23] have been proposed to obtain exact and approximate analytic solutions for nonlinear problems in par”
• Application of the Variational Iteration Method for System of Nonlinear Volterra’s Integro-Differential Equations (2009, methodology): “It was successfully applied to autonomous ordinary differential equation [4], to nonlinear partial differential equations with variable coefficients [5], to SchrödingerKDV, generalized KDV and shallow water equations [6], to Burgers' and coupled Burgers' equations [7], to the linear Helmoltz partial”