Results 31 to 40 of about 180,336 (267)

Local convergence of some high order iterative methods based on the decomposition technique using only the first derivative [PDF]

Surveys in Mathematics and its Applications, 2017
We present a local convergence analysis of some high order iterative methods based on the decomposition technique using only the first derivative for solving equations in order to approximate a solution of a nonlinear equation.
Ioannis K. Argyros, Santhosh George
doaj  

Local Convergence of Exquerro-Hernandez Method

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
doaj   +1 more source

Extending the Applicability of Two-Step Solvers for Solving Equations

Mathematics, 2019
We present a local convergence of two-step solvers for solving nonlinear operator equations under the generalized Lipschitz conditions for the first- and second-order derivatives and for the first order divided differences.
Ioannis K. Argyros, Stepan Shakhno
doaj   +1 more source

A nonlinear beam equation

Applied Mathematics Letters, 2002
The aim of this paper is to prove the existence and uniqueness of weak solutions to a nonlinear beam equation with linear boundary and initial conditions. The nonlinear term appearing in the beam equation is \([g(w_{xx})]_{xx}\), where \(w=w(x,t)\) is the deflection, \(g\) is a given nonlinear function satisfying a local Lipschitz condition only.
Azmy S. Ackleh, H. T. Banks, Gabriella A. Pinter   +2 more
openaire   +1 more source

Nonlinearities in conservative growth equations [PDF]

Physical Review E, 1996
REVTEX, will appear in Phys Rev E Rapid Comm.
Kshirsagar, Abhijit K., Ghaisas, S. V.
openaire   +3 more sources

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

Molecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi, Stavros Makrodimitris, Sandra van Wilpe, Iris te Paske, Vanja de Weerd, Corine M. Beaufort, Hans M. Westgeest, Jens Voortman, Maureen J. B. Aarts, Maud Rijnders, Astrid A. M. van der Veldt, Ronald de Wit, Niven Mehra, Saskia M. Wilting, Debbie G. J. Robbrecht   +14 more
wiley   +1 more source

Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method

Partial Differential Equations in Applied Mathematics
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.
Md. Asaduzzaman, Faruk Özger, Adem Kilicman   +2 more
doaj   +1 more source

On solvability of a mixed value problem for nonlinear partial differential equation of higher order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The questions of one valued generalized solvability of mixed value problem for nonlinear partial differential equation with the parabolic operator of arbitrary natural power are studied. The separation of variables is used.
Tursun K Yuldashev
doaj   +1 more source

The extended Fan’s sub-equation method and its application to nonlinear Schrödinger equation with saturable nonlinearity

Results in Physics, 2023
This article discusses the saturable nonlinear Schrödinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics.
Romana Ashraf, Shabbir Hussain, Farrah Ashraf, Ali Akgül, Sayed M. El Din   +4 more
doaj   +1 more source

A Nonlinear Wave Equation with Jumping Nonlinearity

Discrete and Continuous Dynamical Systems, 1998
The authors study multiplicity of solutions \(u(x,t)\) for a piecewise linear perturbation of the one-dimensional wave operator \(u_{tt}-u_{xx}\) under Dirichlet boundary condition on the interval \((-{\pi\over 2}, {\pi\over 2})\) and periodic condition on \(t\), that is \[ \begin{cases} u_{tt}-u_{xx}+g (u)=f(x,t) \text{ in }\left(-{\pi\over 2}, {\pi ...
Choi, Q-Heung, Jung, Tacksun
openaire   +2 more sources