[PDF] Top 20 Solving a System of Linear Equations by Homotopy Analysis Method

... The homotopy analysis method (HAM) was proposed by Liao in His works ...this method has been successfully em- ployed to solve many types of linear or non-linear, homogeneous or ... See full document

... as system of linear ...for solving system of linear equations ...decomposition method to derive an iterative method, which is similar to the Jacobi iterative ... See full document

... by solving the system of ...Gauss’ method. It transforms the system, systematically, into one with a form can is easily ...of solving linear systems by Gauss’ ...solve ... 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 ... See full document

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

... powerful analysis method, namely the homotopy analysis method [HAM], for solving linear and non-linear differential and integral ...solve linear and ... See full document

... decomposition method (ADM), ...using homotopy perturbation transform method ( HPTM) these types of equation tool [7], furthermore, ...for solving nonlin- ear heat and wave-like equation by ... 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 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 higher order ... 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 into a ... See full document

... of linear Volterra fuzzy integro-differential equations; this technique gives a better accuracy of the ...the linear Volterra fuzzy integro-differential ...the linear Volterra fuzzy ... See full document

... Newton’s method with inner iteration for solving a system of linear algebraic ...Newton method for solution of the linear system of equations that arises at each ... See full document

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

... differential equations with e Schrodinger equation is one of the im- many applications in physics and ...in linear or nonlinear case such as finite difference method [16], variational iteration ... See full document

... modified homotopy perturbation meth- ...improved homotopy perturbation method for solv- ing Fredholm type integro-differential ...modified homotopy perturbation method (MHPM) to solve ... See full document

... (1 −q)A[φ ( κ , τ; p)−φ ( κ , τ; 0) = phH( κ , τ)N[φ ( κ , τ; p)], (3.6) where p is an embedding parameter and p ∈ [0, 1], H( κ , τ) 6= 0 is an auxiliary function, h 6= 0 is an auxiliary parameter, A is an auxiliary ... See full document

... The mainaimof this paper is to consider the effectiveness of the Aboodh transform homotopyperturbationmethod in solving Linear and Nonlinear Schrodinger Equations. This methodATHPMfinds the solution ... See full document

... the homotopy perturbation method (HPM) is proposed to solve the one-dimensional advection-diffusion ...this method that is its ability and flexibility to provide the analytical or approximate ... See full document

... The method provides an excellent convergence region of the solution by introducing the auxiliary functions () and () and the perturbative approximate results obtained are in good agreement with the exact ... See full document

... the homotopy pertur- bation method HPM for solving nonlinear prob- lems; second to demonstrate the basic idea of the new form of homotopy perturbation transform method (NHPTM) for ... See full document