[PDF] Top 20 Application of Different H(x) in Homotopy Analysis Methods for Solving Systems of Linear Equations

... of linear and nonlinear equations has widespread applications in ap- plied mathematics ...including homotopy perturbation method (HPM) [12] and iterative methods [13] were suggested to search ... See full document

... The homotopy analysis method is developed in 1992 by Liao ...of linear and nonline arpartial differential ...perturbation methods is that this method is independent of small/large physical ... See full document

... If the series () and () converges (i = , , , . . . , n) where (x, s) is governed by equation () and (), it must be the solution of equation () and (), respectively. Overall, the results show that the ... See full document

... differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have analytical ... See full document

... two-dimensional linear and nonlinear integral equations by utilizing different techniques, such as Abdou et ...of linear and nonlinear Hammerstien integral equations with continuous ... See full document

... for solving linear and non-linear problems have been dominated by the perturbation me- thods, which have found wide applications in engineer- ...turbation methods have their own limitations, ... See full document

... of homotopy in topology combined with the traditional perturbation method for the solution of non linear equations, but contrary to the traditional perturbation methods, HAM doesn’t need a ... See full document

... The linear and nonlinear Schrodinger equation is an example of a universal linear and nonlinear model that describes many physical ...new methods to solve the equation more accurately and efficiently ... See full document

... differential equations (PDEs) arise in many scientific models such as the propagation of shallow water waves and the Brusselator model of the chemical reaction-diffusion ...the application of the ... See full document

... numerical methods, asymptotic solution, approximations and graphical approaches ...the application of delay models, many authors have investigated and proposed various methods for solving ... See full document

... proximate methods have been developed to solve ...the homotopy pertur- bation method HPM for solving nonlinear prob- lems; second to demonstrate the basic idea of the new form of homotopy ... See full document

... functional equations, such as ordinary or partial differential equations, integral and integral-differential equations ...new Homotopy Perturbation Method (HPM) is introduced to obtain exact ... See full document

... the application of 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 ... See full document

... Siddiqi and Iftikhar used the variation of parameter method for solving the seventh-order boundary value problems in [7]. Liu and Wu [6] give the general differential quadrature rule (GDQR) for the solution of ... See full document

... for solving linear and nonlinear problems in various ...others methods to deals such type of problems with easy way and less ...analytical methods for solving such type of problems as ... See full document

... near equations using a single lower triangular reducing matrix L has been dem- onstrated as shown in this ...of linear equations to proceed through storage of a single lower triangular matrix L only, ... See full document

... the linear systems (1.1) can be solved by direct methods or iterative ...Direct methods are widely employed when the order of the coefficient ma- trix H is not too large, and are often ... See full document

... for linear system of ...given linear system of equations, even in cases where traditional methods fail (determinant null, ill-conditioned systems, subdeterminate systems, ... See full document

... for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is ...presented. Solving first order fuzzy differential ... See full document

... for solving nonlinear equations, Journal of Advances in Mathematics ,2, 432-437, ...K h a l i d a I n aya t N o o r, M u h a m m a d ... See full document