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Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Orthogonalization Process Or Finding A Basic Feasible Solution (Bfs), G.R. Jahanshahloo, S. Abbasbandy
Orthogonalization Process Or Finding A Basic Feasible Solution (Bfs), G.R. Jahanshahloo, S. Abbasbandy
Saeid Abbasbandy
For finding an optimal solution in L.P., combination of orthogonality and simplex method is used. It seems that the number of iteration is reduced with respect to new algorithm in [1].
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.