On full rank differential systems with power series coefficients
نویسندگان
چکیده
منابع مشابه
An Approximate Method for System of Nonlinear Volterra Integro-Differential Equations with Variable Coefficients
In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order. We also obtain an error bound for the approximate solution. Since, in this method the coefficients of Taylor series expansion of solution is obtained by a recurrence r...
متن کاملDifferential Puiseux theorem in generalized series fields of finite rank
We study differential equations F (y, . . . , y) = 0 where F (Y0, . . . , Yn) is a formal series in Y0, . . . , Yn with coefficients in some field of generalized power series Kr with finite rank r ∈ N ∗. Our purpose is to understand the connection between the set of exponents of the coefficients of the equation Supp F and the set Supp y0 of exponents of the elements y0 ∈ Kr that are solutions.
متن کاملApproximate solution of system of nonlinear Volterra integro-differential equations by using Bernstein collocation method
This paper presents a numerical matrix method based on Bernstein polynomials (BPs) for approximate the solution of a system of m-th order nonlinear Volterra integro-differential equations under initial conditions. The approach is based on operational matrices of BPs. Using the collocation points,this approach reduces the systems of Volterra integro-differential equations associated with the giv...
متن کاملSolving the liner quadratic differential equations with constant coefficients using Taylor series with step size h
In this study we produced a new method for solving regular differential equations with step size h and Taylor series. This method analyzes a regular differential equation with initial values and step size h. this types of equations include quadratic and cubic homogenous equations with constant coeffcients and cubic and second-level equations.
متن کاملBUCKLING ANALYSIS OF FUNCTIONALLY GRADED MINDLIN PLATES SUBJECTED TO LINEARLY VARYING IN-PLANE LOADING USING POWER SERIES METHOD OF FROBENIUS
In this paper, buckling behavior of moderately thick functionally graded rectangular plates resting on elastic foundation subjected to linearly varying in-plane loading is investigated. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. Based on the first-order shear deformation plate theory and the neutral s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Symb. Comput.
دوره 68 شماره
صفحات -
تاریخ انتشار 2015