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

Authors:
Iurie Caraus;Nikos E. Mastorakis
Affiliations:
Moldova State University, Faculty of Mathematics and Informatics, Chisinau, MD, Republic of Moldova;WSEAS, Zographou, Athens, Greece
Venue:
MACMESE'08 Proceedings of the 10th WSEAS international conference on Mathematical and computational methods in science and engineering
Year:
2008

Citing 2
Cited 11

The stability of collocation methods for approximate solution of singular integro-differential equations

WSEAS Transactions on Mathematics
Convergence of the collocation methods for singular integro-differential equations in Lebesgue spaces

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
Pumping systems rehabilitation impact on energy savings and environment

EE'09 Proceedings of the 4th IASME/WSEAS international conference on Energy & environment
Pumping systems life-time analysis effects on maintenance and energy consumption mitigation effect

EE'09 Proceedings of the 4th IASME/WSEAS international conference on Energy & environment
Finite difference schemes of unsteady boundary layer flow and heat transfer over a stretching surface in a micropolar fluid

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
Finite difference schemes for a moving orthotropic web

FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
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

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this article we elaborate the numerical schemes of the collocation and quadrature- interpolation methods for the approximate solution of the singular integro-differential equations when the kernel has a weak singularity. The equations are defined on the arbitrary smooth closed contour of complex plane. The collocation and quadrature-interpolation methods are based on the descritization using Fejér points. Theoretical background for these methods is to be laid in classical Hölder spaces.