The Novel Integral Homotopy Expansive Method

Modified homotopy method to solve non-linear integral equations

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...

Discrete homotopy analysis method for the nonlinear Fredholm integral equations

osting by E Abstract Recently, Behiry et al. (in press) [8] have introduced a discretized version of the Adomian decomposition method, namely ‘‘Discrete Adomian Decomposition Method (DADM)’’, for solving nonlinear Fredholm integral equations. In this paper, we extent Behiry et al.’s idea on the wellknown homotopy analysis method, and introduce ‘‘Discrete homotopy analysis method (DHAM)’’. The o...

Integral Transforms with the Homotopy Perturbation Method and Some Applications

Approximation theory covers some important topics in applied analysis, and its application serves many fields in science and engineering such as fluid mechanics, electromagnetism, diffraction theory, statistics and economics. Although it is an old subject, dating back to Laplace, new methods and applications continue to appear in various publications. There is now a need to provide new methods ...

T-Stability Approach to the Homotopy Perturbation Method for Solving Fredholm Integral Equations

The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for s...

Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method