[PDF] Top 20 Homotopy Perturbation Method for Solving the Fractional Fisher's Equation

... of fractional order, which became requires researchers to use conventional methods to solve ...the homotopy perturbation method (HPM). This method was established in 1998 by He ... See full document

... that fractional calculus provides an efficient and excellent instrument for the description of many practical dynamical phenomena arising in engineering and scientific disciplines such as, physics, chemistry, ... See full document

... this Method are presented in order to decrease the volume of calculations [19, 3, 20] and increase the rapid convergence and accuracy of calculation series ...of homotopy perturba- tion transform ... See full document

... modified homotopy perturbation meth- ...improved homotopy perturbation method for solv- ing Fredholm type integro-differential ...modified homotopy perturbation method ... See full document

... In this paper, we solve the moving boundary and iso- perimetric problems by using Homotopy perturbation method. Embedding parameter p    0,1 can be taken into account as a perturbation ... See full document

... He’s Homotopy perturbation method of solving linear and non-linear Fredholm Integro-Differential Equation and conducted a comparative study between He’s Homotopy ... See full document

... the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study ... See full document

... analytical method of solving nonlinear equations are Lyapunov artificial small parameter method ([Ado 94]), perturbation method ([BPG10, Chun09]) and Hirota bilinear method ... See full document

... Abstract In the present paper, we study a homo- geneous cosmological model in Friedmann-Robertson- Walker (FRW) space-time by means of the so-called Homotopy Perturbation Method (HPM). First, we ... See full document

... (9) where p and ρ are pressure and density, respectively. For solving equations (7)-(9), we must apply boundary conditions (equations (5) and (6)). Other boundary conditions are no lateral velocity and pressure ... See full document

... Variational homotopy perturbation method is proposed to solve nonlinear Riccati differential ...Iteration Method and the Homotopy Perturbation Method, this technique ... See full document

... integral equation is one of the major topics of applied ...new Homotopy Perturbation Method (HPM) is introduced to obtain exact solutions of the systems of integral equations-differential and ... See full document

... the homotopy method for the numerical solution of equa- ...the method in the most effcient dif- ferential form and applied it to a wide class of problems such as the inversion of matrices, the ... See full document

... The homotopy perturbation method (HPM) was first proposed by the Chinese mathematician Ji-Huan He ...the homotopy perturbation method leads to an analytical approximate and exact ... See full document

... merge homotopy perturbation method with He’s polynomials and Laplace transformation method to produce a highly effective algorithm for finding approximate solutions for generalized ... See full document

... The homotopy perturbation method (HPM) has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein-Gordon equation which can be used as a ... See full document

... this method, the time interval is divided into n equal subintervals and the method is applied once to each ...Riccati equation by the homo- topy perturbation method [1], the iterated ... See full document

... the homotopy in topology to propose a general analytic method for nonlinear problems, namely HAM, [14, 15, ...applied homotopy perturbation method (HPM), which is a special case of HAM, ... See full document

... The homotopy perturbation method (HPM) is extended to drive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional ...The homotopy ... See full document

... the Fisher equation has been solved by HPM and ...powerful method for solving nonlinear partial differential equations, especially for the Fisher ...for solving linear and ... See full document