Block and asynchronous two-stage methods for mildly nonlinear systems

On the Convergence of the Generalized Asynchronous Multisplitting Block Two-stage Relaxation Methods for the Large Sparse Systems of Mildly Nonlinear Equations

On the Convergence of Asynchronous Block Newton Methods for Nonlinear Systems of Equations

Convergence of asynchronous block Newton methods for solving nonlinear systems of equations of the form F (x) = 0 are studied. Sufficient conditions to guarantee their local convergence are given. Our analysis emphasizes the connection between the conditions on F involved in local convergence theorems for sequential and synchronous block Newton’s method, and our settings for asynchronous block ...

Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions

In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Vol...

Direct method for solving nonlinear two-dimensional Volterra-Fredholm integro-differential equations by block-pulse functions

In this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional Volterra-Fredholm integro-differential equations. Here, we use the so-called two-dimensional block-pulse functions.First, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. Then, by using this matrices, the nonlinear two-dimensional Vol...

ITERATIVE METHOD FOR SOLVING TWO-DIMENSIONAL NONLINEAR FUZZY INTEGRAL EQUATIONS USING FUZZY BIVARIATE BLOCK-PULSE FUNCTIONS WITH ERROR ESTIMATION

In this paper, we propose an iterative procedure based on two dimensionalfuzzy block-pulse functions for solving nonlinear fuzzy Fredholm integralequations of the second kind. The error estimation and numerical stabilityof the proposed method are given in terms of supplementary Lipschitz condition.Finally, illustrative examples are included in order to demonstrate the accuracyand convergence of...