[PDF] Top 20 Application of Homotopy Analysis Method for Solving Higher Order Differential Equations

... the homotopy analysis method (HAM) has been applied to obtain the numerical solutions of seventh- order boundary value ...proposed method is well suited for the solution of ... See full document

... their analysis, they found out that the reproduction ratio is greater than 0, which implies that the force of malaria infection in Taraba North Senatorial Zone is ... See full document

... This assumption leads to the technique which we named the augmented block pulse function (ABPF) method. In fact, we develop the BPF method to be flexible for an approx- imation of the differential ... See full document

... Modified homotopy analysis method for solving systems of second-order BVPs, ...the homotopy analysis method for non ... See full document

... transform method to resolve the nonlinear partial differential equations by combining them with the so-called homotopy analysis method ...This method can be called ... See full document

... The homotopy analysis method (HAM) was proposed by ...this method, the solution is considered as the summation of an infinite series, which usually converges rapidly to the exact ...on ... See full document

... Fractional equations have enabled the investigation of the nonlocal response of multiple phenomena such as diffusion processes, electrodynamics, fluid flow, elasticity and many more [–]; fractional derivatives are ... See full document

... governing differential equations do not have analytical solutions in genuine events in nature and ...afore-mentioned equations, the analytical solutions are not ...the homotopy perturbation ... See full document

... partial differential equations with initial and boundary ...partial differential equations are of fundamentally significant in science and ...partial differential equations in ... See full document

... fifth order (gfKdV) and seventh order (gsKdV) has various applications in Sciences and ...Iterative Method (NIM) is being proposed to obtain the solution of several forms of the gfKdV and gsKdV ...as, ... See full document

... first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on ...The differential quadrature method (DQM) as a numerical ... See full document

... Zhou's differential transform method (ZDTM) is approximate method which construct analytical solution in the firm of polynomial which can be easily applied o many linear and non linear problems by ... See full document

... Al-Goria, Solving nonlinear equations using a new tenth- and seventh- order methods free from second derivative, International Journal of Differential Equations and Applications, 12(3) ... See full document

... In 1992, Liao [1] proposed the Homotopy Analysis Me- thod (HAM) to solve nonlinear differential equations analytically. Since then, HAM has been used to investi- gate a variety of mathematical ... See full document

... In order to avoid these complications, decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in various ... See full document

... transform method to solve partial differential equations, for finding suitable accurate solutions in a wider ...the homotopy perturbation method in order to solve three ... See full document

... perturbation method (HPM) and Parameter ex- panding method (PEM) to obtain the approximate peri- odic solutions to fractional Van der Pol damped nonlin- ear ...for solving non- linear ... See full document

... the application of differential transform method to the proposed model and to verify the validity of the method in solving the model equations using computer in- built Maple 18 ... 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 ... See full document

... Non-linear 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 ... See full document