Using the separation of variables method and homotopy perturbation method,the analytic solutions of the time fractional telegraph equation with homogeneous and non-homogeneous mixed boundary value problems are obtained.

Using the variable separation method and homotopy perturbation method,obtained the analytic solutions of the time fractional telegraph equation with homogeneous and non-homogeneous mixed boundary value problems,which can be expressed in the form of series,then computed easily.

A new asymptotic numerical method for nonlinear dynamic equations is proposed in this paper by combining the precise integration method(PIM) with the homotopy perturbation method(HPM).

The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.

This paper introduces the homotopy algorithm into back-propagation neural network and indicates that the convergence speed can be improved and the defects of converging to local extremum can be eliminated.

The homotopy algorithm,basing on homotopy mapping,is convergent with wide range.

This paper introduces an optimization method of the selective harmonic elimination(SHE) technology based on the homotopy algorithm applied to neutral-point-clamped(NPC) three-level inverters.

Study on the new homology continuation algorithm and its application in motor;

The homology continuation algorithm has resolved this difficult problem without given initial value and can find all solution,but a special programming is compiled at the same time.

The algorithm related to homotopy method provides a systematic approach for deriving optimal solution of relative minimum.

A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process.

A constructive proof of a class of nonconvex Brouwer fixed point problems is pre-sented, and the theoretical base of homotopy method to the problem has been created.