Automatic numerical solution of generalized 2-D IHCP by discrete mollification

Numerical solution of fuzzy differential equations under generalized differentiability by fuzzy neural network

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized characterization Theorem. Then a novel hybrid method based on learning algorithm of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large eld called ne...

Numerical solution of fuzzy initial value problems under generalized dierentiability by HPM

On the numerical solution of generalized Sylvester matrix equations

‎The global FOM and GMRES algorithms are among the effective‎ ‎methods to solve Sylvester matrix equations‎. ‎In this paper‎, ‎we‎ ‎study these algorithms in the case that the coefficient matrices‎ ‎are real symmetric (real symmetric positive definite) and extract‎ ‎two CG-type algorithms for solving generalized Sylvester matrix‎ ‎equations‎. ‎The proposed methods are iterative projection metho...

Parallel Numerical Solution of 2-D Heat Equation

In this paper, we will discuss the numerical solution of the two dimensional Heat Equation. An approximation to the solution function is calculated at discrete spatial mesh points, proceeding in discrete time steps. The starting values are given by an initial value condition. We will first explain how to transform the differential equation into a finite difference equation, respectively a set o...

The Mollification Method and the Numerical Solution of Ill-Posed Problems (Diego A. Murio)

The mollification method and the numerical solution of ill-posed problems / by Diego A. Murio. p. cm. PREFACE During the last 20 years, the subject of ill-posed problems has expanded from a collection of individual techniques to a highly developed and rich branch of applied mathematics. This textbook essentially builds, from basic mathematical concepts, the understanding of the most important a...