Composite materials are used to produce multi-objective structures such as fluid reservoirs,
transmission pipes, heat exchangers, pressure vessels due to high strength and stiffness to …

The exact solution of Burgers-Fisher equation is obtained by using the Variational Iteration
Method (VIM) and the Homotopy Perturbation Method (HPM). To present accuracy as well …

In this paper, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method
(HPM) are applied to solve the Burgers-Huxley non-linear differential equations. A …

The Variational Iteration Method (VIM) is used to solve the Newell-Whitehead-Segel non-
linear differential equations. Three case study problems of Newell-Whitehead-Segel are …

To solve the Korteweg-de Vries-Burgers Equation equations the Variational Iteration Method
(VIM) is used. Two case study problems of Korteweg-de Vries-Burgers equation are solved …

To solve the weakly-singular Volterra integro-differential equations, the combined method of
the Laplace Transform Method and the Adomian Decomposition Method is used. As a result …

In this study, the Variational Iteration Method (VIM) is applied to the Fitzhugh–Nagumo non-
linear differential equations. Two case study problems of Fitzhugh–Nagumo are solved by …

In this paper, new homotopy perturbation method (iteration scheme) will be employed to
solve the nonlinear dynamical problems that arise in thin membrane kinetics. More …

Actual engineering processes can be simulated and analyzed in virtual environments by
using Computer Aided Design (CAD) methods. The CAD is presented by geometrical …

This paper proposes an effective improvement of the homotopy perturbation method (HPM)
by using Jacobi and He's polynomials to solve some nonlinear ordinary differential …