Discrete continuation method for nonlinear integral equations in Banach spaces
AbstractThe continuation theorem for contractive mappings on spaces endowed with two metrics is used to obtain existence, uniqueness and iterative…
2000
Programmed motion for a class of families of planar orbits
AbstractAuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania George Bozis Department of Physics, University of Thessalonikim GR-54006,…
An implicit numerical spline method for systems for ODEs
Abstract An implicit numerical method is introduced that gives piecewise polynomial spline approximations for the solution of an initial value…
Elements of linear algebra, analytic geometry and tensorial calculus
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author,…
Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure
Abstract? AuthorsIoannis K. Argyros Department of Mathematics, Cameron University Emil Catinas Emil Cătinaş Ion Pavaloiu Ion Păvăloiu Keywords? Paper coordinatesI.…
On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term
Abstract? AuthorsIoannis K. Argyros Department of Mathematics, Cameron University Emil Catinas Emil Cătinaş Ion Pavaloiu Ion Păvăloiu Keywords? Paper coordinatesI.…
On the convergence of Steffensen-Aitken-like methods using divided differences obtained recursively
AbstractWe use inexact Steffensen-Aitken-like methods to approximate a solution of a nonlinear equation in a Banach space. The approximate inverses…
On the Marangoni and gravity flow in an inclined channel of an arbitrary section
AbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…
On the Marangoni flow on an inclined plane
AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
The numerical approximation to positive solution for some reaction-diffusion problems
Abstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…