Pade Method to Painleve Equations

Polynomial Solutions to Difference Equations Connected to Painleve’ Ii-vi

Pade approximation technique reduced model using stability equation method

An algorithm is introduced for model reduction of linear time invariant system using combine advantage of pade approximation technique and stability equation method. The denominator of reduced order model is derived by stability equation method and numerator of reduced order transfer function is obtained by pade approximation technique. This method guarantees stability of reduced model if high ...

Application of DJ method to Ito stochastic differential equations

‎This paper develops iterative method described by [V‎. ‎Daftardar-Gejji‎, ‎H‎. ‎Jafari‎, ‎An iterative method for solving nonlinear functional equations‎, ‎J‎. ‎Math‎. ‎Anal‎. ‎Appl‎. ‎316 (2006) 753-763] to solve Ito stochastic differential equations‎. ‎The convergence of the method for Ito stochastic differential equations is assessed‎. ‎To verify efficiency of method‎, ‎some examples are ex...

Painleve Property and Geometry

The Painlev6 property for discrete Hamiltonian systems implies the existence of a symplectic manifold which augments the original phase space and on which the flows exist and are analytic for all times. The augmented manifold is constructed by expanding the Hamilton-Jacobi equation. A complete classification of the types of poles allowed in complex time is given for Hamiltonians which separate ...

Modified homotopy method to solve non-linear integral equations

In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...