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Homotopy perturbation method for solving partial differential equations
We apply a relatively new technique which is called the homotopy perturbation method
(HPM) for solving linear and nonlinear partial differential equations. The suggested …
(HPM) for solving linear and nonlinear partial differential equations. The suggested …
Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials
In this paper, we apply the variational iteration method using He's polynomials (VIMHP) for
solving the higher-order boundary value problems. The proposed method is an elegant …
solving the higher-order boundary value problems. The proposed method is an elegant …
Convergent Power Series of sech(x) and Solutions to Nonlinear Differential Equations
It is known that power series expansion of certain functions such as sech(x) diverges
beyond a finite radius of convergence. We present here an iterative power series expansion …
beyond a finite radius of convergence. We present here an iterative power series expansion …
Double-diffusive convective peristaltic motion of Casson nanofluid with variable-viscosity in an endoscope
Endoscope effect on Casson nanofluid with variable viscosity, double-diffusive convection,
and shape factors are examined in the current research. We also investigated using a non …
and shape factors are examined in the current research. We also investigated using a non …
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
We consider the initial-value problem for a system of coupled Boussinesq equations on the
infinite line for localised or sufficiently rapidly decaying initial data, generating sufficiently …
infinite line for localised or sufficiently rapidly decaying initial data, generating sufficiently …
Exp-function method for solving Kuramoto–Sivashinsky and Boussinesq equations
In this paper, we use the Exp-function method to construct the generalized solitary and
periodic solution of the Kuramoto–Sivashinsky and Boussinesq equations. These equations …
periodic solution of the Kuramoto–Sivashinsky and Boussinesq equations. These equations …
Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method
We apply the modified variational iteration method (MVIM) for solving the singular and
nonsingular initial and boundary value problems in this paper. The proposed modification is …
nonsingular initial and boundary value problems in this paper. The proposed modification is …
Three-wave lump solutions and their dynamic behaviors for the (3+ 1)-dimensional constant-coefficient and variable-coeffcient differential equations
In this paper, we propose two theorems to illustrate the types of equations that can be solved
using the quadratic function method to derive the lump solutions localized in the whole …
using the quadratic function method to derive the lump solutions localized in the whole …
Numerical study of wave disturbances of the high order nonlinear Boussinesq equations arising in engineering
Wave prediction has remained a major challenge for scientists in coastal regions for many
years. Damage to infrastructure as well as individuals in coastal locations is often caused by …
years. Damage to infrastructure as well as individuals in coastal locations is often caused by …
[PDF][PDF] Variational homotopy perturbation method: An efficient scheme for solving partial differential equations in fluid mechanics
Variational Homotopy Perturbation Method: An efficient scheme for solving partial differential
equations in fluid mechanics Page 1 Journal of mathematics and computer science 9 (2014) …
equations in fluid mechanics Page 1 Journal of mathematics and computer science 9 (2014) …