Semianalytical solutions by homotopy analysis method for EIAV infection with stability analysis

Solitonic Solutions for Homogeneous KdV Systems by Homotopy Analysis Method

Applications in physics are modeled by nonlinear systems. Very few nonlinear systems have closed form solutions, therefore, many researchers stress their goals to search numerical solutions. Homotopy analysis method HAM , first proposed by Liao 1 , is an elegant method which has proved its effectiveness and efficiency in solving many types of nonlinear equations 2, 3 . Liao in his book 4 proved...

Series Solutions of Time-Fractional PDEs by Homotopy Analysis Method

The homotopy analysis method HAM is applied to solve linear and nonlinear fractional partial differential equations fPDEs . The fractional derivatives are described by Caputo’s sense. Series solutions of the fPDEs are obtained. A convergence theorem for the series solution is also given. The test examples, which include a variable coefficient, inhomogeneous and hyperbolic-type equations, demons...

Solving a System of Linear Equations by Homotopy Analysis Method

‎In this paper‎, ‎an efficient algorithm for solving a system of linear‎ ‎equations based on the homotopy analysis method is presented‎. ‎The‎ ‎proposed method is compared with the classical Jacobi iterative‎ ‎method‎, ‎and the convergence analysis is discussed‎. ‎Finally‎, ‎two‎ ‎numerical examples are presented to show the effectiveness of the‎ ‎proposed method.‎

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

Vibration Analysis of a Nonlinear Beam Under Axial Force by Homotopy Analysis Method

In this paper, Homotopy Analysis Method is used to analyze free non-linear vibrations of a beam simply supported by pinned ends under axial force. Mid-plane stretching is also considered for dynamic equation extracted for the beam. Galerkin decomposition technique is used to transform a partial dimensionless nonlinear differential equation of dynamic motion into an ordinary nonlinear differenti...