Solution of Polynomial Systems Derived from Differential Equations

2 4 M ay 2 00 5 Solution of polynomial systems derived from differential equations

Nonlinear two-point boundary value problems arise in numerous areas of application. The existence and number of solutions for various cases has been studied from a theoretical standpoint. These results generally rely upon growth conditions of the nonlinearity. However, in general, one cannot forecast how many solutions a boundary value problem may possess or even determine the existence of a so...

Solution of fuzzy differential equations

Hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior‎. ‎The hybrid differential equations have a wide range of applications in science and engineering‎. ‎The hybrid systems are devoted to modeling‎, ‎design‎, ‎and validation of interactive systems of computer programs and continuous systems‎. ‎Hybrid fuzzy differential equations (HFDEs) is considered by ...

Tau Numerical Solution of Volterra Integro-Differential Equations With Arbitrary Polynomial Bases

Numerical Solution of Integro-Differential Equations with Local Polynomial Regression

In this paper, we try to find numerical solution of               b  d , . a y x p x y x g x K x t y t t y a a x b a t b              d , . , a y x p x y x g x K x t y t t y a a x b a t b                   d x t y t t y a      a or               x  by using Local polynomial regression (LPR) method. The numerical solution shows th...

Symbolic Computation on Complex Polynomial Solution of Differential Equations

A symbolic computation scheme, based on the Lanczos-method, is proposed for obtaining exact polynomial solution to some perturbed diierential equations with suitable boundary conditions. The automated-method uses symbolic Faber polynomials as the perturbation terms for arbitrary circular section of the complex plane and has advantages of avoiding rounding error and easy manipulation over the nu...