Laplace Transforms acquired a new importance when the English Electrical Engineer Oliver Heaviside(1850-1925 AD) made use of them in operational calculus(devised by him) and for the solution of ordinary differential equations with constant coefficients. The […]
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 […]
Monic Wavelet Method
Monic Wavelet Method, 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 […]
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) . . […]
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 […]
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 […]
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 […]
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 […]
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 […]
ADM and MADM Using Fractional Calculus
ADM and MADM Using Fractional Calculus will be find in this article using different techniques. Many physical phenomena when mathematical modeled yield an integral equation. Many algorithms have been developed to find the exact and […]