Convergence of the collocation methods for singular integro-differential equations in Lebesgue spaces

Authors:
Iurie Caraus;Nikos E. Mastorakis
Affiliations:
Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Heverlee, Belgium;WSEAS, Zographou, Athens, Greece
Venue:
WSEAS Transactions on Mathematics
Year:
2007

Citing 0
Cited 11

Solving the problem of the compressible fluid flow around obstacles by an indirect approach with vortex distribution and linear boundary elements

WSEAS Transactions on Mathematics
A new boundary element approach for the 3D compressible fluid flow around obstacles

WSEAS Transactions on Mathematics
Solution of the Schrodinger-Maxwell equations via finite elements and genetic algorithms with Nelder-Mead

WSEAS Transactions on Mathematics
Existence, uniqueness and finite difference solution for the Dirichlet problem of the Schrodinger-Maxwell equations

WSEAS Transactions on Mathematics
Genetic algorithms with Nelder-Mead optimization in the variational methods of boundary value problems

WSEAS Transactions on Mathematics
Direct methods for numerical solution of singular integro-differential equations in classical Hölder spaces (case γ ≠ 0)

MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Genetic algorithms with Nelder-Mead optimization for the finite elements methods applied on non-linear problems in fluid mechanics

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Numerical solution of the Schrodinger-Maxwell equations (with a general nonlinear term) via finite elements and genetic algorithms with Nelder-Mead

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Finite difference schemes for the Schrodinger-Maxwell equations (with a general non-linear term)

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
On the numerical solution of mathematical models of cancer growth and optimal cancer therapy

BIOCOMPUCHEM'09 Proceedings of the 3rd WSEAS International Conference on Computational Chemistry
Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this article, the numerical schemes of collocation methods for an approximate solution of singular integro- differential equations with kernels of Cauchy type are explained. The equations are defined on arbitrary smooth closed contours. The theoretical background of collocations methods in Lebesgue spaces is obtained.