13 min read 0
5

Solitary Wave Solution

Solitary Wave Solution has been developed, for regularized long width equation in which the auxiliary equation different from traditional (G`/G)-Expansion Method. This method is more general and very simple. This method is more reliable and […]

9 min read 0
6

Wavelets Theory

Wavelets Theory , is a relatively new and emerging area in mathematical research. As a powerful tool, wavelets have been extensively used in signal processing, numerical analysis and many other areas. Wavelets theory is a […]

11 min read 0
8

Appell Polynomials Method

Appell Polynomials Method,we develop a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Appell polynomials [1]. Appell polynomials is given as       (3.314) . . […]

11 min read 0
20

Bell Polynomials Method

Bell Polynomials Method ,we develop a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Bell polynomials [1]. Bell polynomials is given as           […]

6 min read 0
16

Bessel Polynomial Method

Bessel Polynomial Method,we develop a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Bessel polynomials [1]. Bessel polynomials is given as 3.8.1 Methodology Definition 3.7. Consider the integral […]

6 min read 0
17

Charlier Polynomials Method

Charlier Polynomials Method, we develop a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Charlier’s polynomials [1]  is given as 3.7.1 Methodology Definition 3.5. Consider the integral […]

5 min read 0
24

Gegenbauer Polynomials Method

Gegenbauer Polynomials Method  is  a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Gegenbauer polynomials. Gegenbauer polynomials [1] is given as 3.6.1 Methodology Definition 3.3. Consider the […]

6 min read 0
28

Fibonacci Polynomials Method

Fibonacci Polynomials Method develop a new algorithm for solving linear and nonlinear integral equations using Galerkin weighted residual numerical method with Fibonacci polynomials [1]Fibonacci polynomials is given as 4.1.1 Methodology Definition 4.1. Consider the integral […]

6 min read 0
55

The Solitary Wave Theory

The Solitary Wave Theory, have soliton-like solutions of nonlinear evolution equations describing wave process in dispersive and dissipation media [6]. A sketch of these types of waves is shown below 2.1  Soliton A soliton [14] […]