Problem Statement: Breast cancer is the second leading cause of cancer deaths in women today after lung cancer and is the most common cancer among women. The development of efficient technique to early detect the region of microcalcifications mammogram images is a must. Approach: The method proposed in this paper is to enhance the Computer Aided Diagnosis… (More)
In this paper will be compared between Adomian decomposition method (ADM) and Taylor expansion method (TEM) for solving (approximately) a class of fractional integro-differential equations. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed methods. Numerical solutions, Fractional integro-differential equations.
In this paper, linear and nonlinear boundary value problems for fourth-order fractional integro-differential equations are solved by Variational iteration method (VIM) and Adomian decomposition method (ADM). The fractional derivative is considered in the Caputo sense. The solutions of both problems are derived by infinite convergent series. Numerical… (More)
In the present article, we apply variational iteration method to obtain the numerical solution of Volterra and Fredholm integral equations of the second kind. The method constructs a convergent sequence of functions, which approximates the exact solution with little iteration. Application of this method in finding the approximate solution of some examples… (More)
And among his wonders is the creation of the heavens and the earth, and the diversity of your tongues and colors: for in this, behold, there are messages indeed for all who are possessed of [innate] knowledge!
Fibrodysplasia ossificans progressiva is a rare autosomal dominantly inherited disorder of connective tissue caused by mutations in the gene encoding for ACVR1/ALK2, a bone morphogenetic protein type I receptor. It is mainly characterized by congenital malformations of the great toes and the formation of qualitatively normal bone in extra-skeletal sites… (More)
In this paper, we investigate the numerical solution of fractional integro-differential equations by comparison between He's variational iteration method and taylor expansion method. The fractional derivative is described in the Caputo sense. Some numerical examples are presented to illustrate the methods.
In this paper, the Legendre wavelet method (LWM) and He's Homotopy perturbation method (HPM) are applied to approximate solution for linear fractional integro-differential equation with initial condition. A comparison between these methods takes place. Numerical examples are presented to illustrste the efficiency and accuracy of the proposed methods.
In this paper, we will compare between Adomian decomposition method (ADM) and Homotopy perturbation method (HPM) for obtaining the numerical solutions of higher-order linear fractional integro-differential equations with boundary conditions. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed methods. Keywords: Ad o… (More)