Open Access. Powered by Scholars. Published by Universities.®
Numerical Analysis and Computation Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Numerical Analysis and Computation
Crisp Solution Of A General Fuzzy Linear System, S. Abbasbandy, R. Ezzati
Crisp Solution Of A General Fuzzy Linear System, S. Abbasbandy, R. Ezzati
Saeid Abbasbandy
In this paper a method for solving a general fuzzy linear system with crisp solution is considered. We consider the method in special case when the elements of the coefficient matrix and the right hand side are trapezoidal fuzzy numbers. The method in detail is discussed and followed by theorem and illustrated by solving some examples.
An Augmented Galerkin Algorithms For First Kind Integral Equations Of Hammerstein Type, S. Abbasbandy, E. Babolian
An Augmented Galerkin Algorithms For First Kind Integral Equations Of Hammerstein Type, S. Abbasbandy, E. Babolian
Saeid Abbasbandy
Recent papers, [1],[2] & [3], describe some algorithms for linear first kind integral equations. These algorithms are based on augmented Galerkin method and Cross-validation scheme [5]. The results show that, these algorithms work well for linear equations. In this paper we apply algorithms of [1] & [2] on non-linear first kind integral equations of Hammerstein type with bounded solution. In order to obtain a posteriori error estimate, we apply fifteen-point Gauss-Kronrod quadrature rule [4]. Finally, we give a number of numerical examples showing that the algorithms work well in practice.