Partial Differential Equations (PDEs) have become an important tool in image processing and analysis. A PDE mode for image zooming is introduced in this paper. This model exploits a higher order nonlinear partial differential equation. The resulted nonlinear equation is solved by an explicit finite difference schemes. Numerical results on real digital images are given to show effectiveness and ...

A partial differential equation with the argument [Z.t] is studied, where [.] denotes the greatest integer function. The infinite delay -[Zt] leads to difference equations of unbounded order. KEY WORDSAND PHRASES. Partial differential equation, piecewise constant delay, boundary value problem, initial value problem. 1991 AMS SUBJECT SIFICATION CODE. 35A05, 35B25, 35L10, 34K25.

In this paper, solution of fuzzy differential equation under general differentiability is obtained by simulink. The simulink solution is equivalent or very close to the exact solution of the problem. Accuracy of the simulink solution to this problem is qualitatively better. An illustrative numerical example is presented for the proposed method. Keywords—Fuzzy differential equation, Generalized ...

We prove that the question of whether a given linear partial differential or difference equation with polynomial coefficients has non-zero polynomial solutions is algorithmically undecidable. However, for equations with constant coefficients this question can be decided very easily since such an equation has a non-zero polynomial solution iff its constant term is zero. We give a simple combinat...