Weighted Average Based Differential Quadrature Method for One-Dimensional Homogeneous First Order Nonlinear Parabolic Partial Differential Equation

A method for solving first order fuzzy differential equation

Solving Fuzzy Partial Differential Equation by Differential Transformation Method

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Bifurcation and Stability for a Nonlinear Parabolic Partial Differential Equation

This note is a brief report on some research conducted by the authors in 1971. A complete report on this same research is scheduled to appear in a separate article [2]. Let ƒ be a given function continuously mapping the real line R into itself. Let A be a given nonnegative real number. Let : [0, TT]-+R be any C^-smooth function such that (0)=<£(7r)=0. We shall be discussing the following ...

A Nonlinear Parabolic Partial Differential Equation Model for Image Enhancement

Abstract—We present a robust nonlinear parabolic partial differential equation (PDE)-based denoising scheme in this article. Our approach is based on a second-order anisotropic diffusion model that is described first. Then, a consistent and explicit numerical approximation algorithm is constructed for this continuous model by using the finite-difference method. Finally, our restoration experime...

Quasi - wavelet for Fourth Order Parabolic Partial Integro - differential Equation ⋆

In this paper we discuss the numerical solution of initial-boundary value problem for the fourth order parabolic partial integro-differential equation. We use the forward Euler scheme for time discretization and the quasi-wavelet method for space discretization. Sometimes, we give a new method about the treatment of boundary condition. Numerical experiment is included to demonstrate the validit...