Results 91 to 100 of about 680,986 (287)

Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition

Discrete Dynamics in Nature and Society, 2012
The numerical and analytic solutions of the mixed problem for multidimensional fractional hyperbolic partial differential equations with the Neumann condition are presented. The stable difference scheme for the numerical solution of the mixed problem for
Allaberen Ashyralyev, Fadime Dal
doaj   +1 more source

INTEGRAL METHODS FOR DESCRIBING PULSATILE FLOW

Acta Polytechnica, 2016
This paper presents an approximate solution of the pulsatile flow of a Newtonian fluid in the laminar flow regime in a rigid tube of constant diameter. The model is represented by two ordinary differential equations. The first equation describes the time
David Hromadka, Hynek Chlup, Rudolf Žitný   +2 more
doaj   +1 more source

Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]

A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
core   +1 more source

Conditional Stability for Single Interior Measurement

, 2013
An inverse problem to identify unknown coefficients of a partial differential equation by a single interior measurement is considered. The equation considered in this paper is a strongly elliptic second order scalar equation which can have complex ...
Honda, Naofumi, McLaughlin, Joyce, Nakamura, Gen   +2 more
core   +1 more source

PARP inhibition and pharmacological ascorbate demonstrate synergy in castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon, Peter T. Gallagher, Orly I. Richter, Neermala Poudel Neupane, Amy C. Mandigo, Jennifer J. McCann, Emanuela Dylgjeri, Irina Vasilevskaya, Christopher McNair, Channing J. Paller, Wm. Kevin Kelly, Karen E. Knudsen, Matthew J. Schiewer, Ayesha A. Shafi   +13 more
wiley   +1 more source

A Method of Lines Scheme with Third-Order Finite Differences for Burgers–Huxley Equation

Axioms
The Burgers–Huxley equation is a nonlinear partial differential equation that incorporates convective, diffusive and reactive effects and arises in various reaction–diffusion and fluid flow models. In this paper, a numerical method based on the method of
Muhammad Yaseen, Muhammad Ameer Hamza, Khidir Shaib Mohamed, Naglaa Mohammed   +3 more
doaj   +1 more source

Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrodinger operator

, 2003
With this paper we begin an investigation of difference schemes that possess Darboux transformations and can be regarded as natural discretizations of elliptic partial differential equations.
A. Doliwa, Ablowitz, Adler, Bogdanov, Doliwa, Doliwa, Doliwa, Dynnikov, Eisenhart, Ernst, Flaschka, Grundland, Hildebrand, Jonas, Konopelchenko, M. Nieszporski, Manakov, Manakov, Manas, Matveev, Misner, Moutard, Nieszporski, Nimmo, Novikov, Novikov, P.M. Santini, Schief, Shabat, Suris, Toda, Veselov   +31 more
core   +1 more source

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis

Shock and Vibration, 1994
An improved finite difference type numerical method to solve partial differential equations for one-dimensional (1-D) structure is proposed. This numerical scheme is a kind of a single-step, second-order accurate and implicit method.
Sung-Hoon Kim, Youn-sik Park
doaj   +1 more source

Nonclassical dynamical behavior of solutions of partial differential-difference equations

AIMS Mathematics
<p>For partial differential-difference equations, a review of results regarding the relation between the type of the equation and dynamical properties of its solutions is provided. This includes the case of elliptic equations with timelike independent variables: Their solutions acquire dynamical properties (more exactly, behave as solutions of ...
openaire   +2 more sources