Administration of certain drugs at a steady rate results in deterioration of drug effect, also known as drug tolerance. Periodic delivery is an attractive option for minimizing tolerance and maximizing the desired effect of such drugs. In this paper, periodic drug infusion strategies for maximizing a time averaged measure of drug effect are investigated. A simple pharmacokinetic-pharmacodynamic...

Further to a recent controversy on whether or not the differential transformation method (DTM) for solving a differential equation is purely and solely the traditional Taylor series method, it is emphasized that the DTM is currently used as a technique for calculating the power series of the solution (in terms of the initial value parameters) including, sometimes, a piecewise analytic continuat...

We calculate the scaling behavior of the second-kind self-similar blow-up solution of an aggregation equation in odd dimensions. This solution describes the radially symmetric finite-time blowup phenomena and has been observed in numerical simulations of the dynamic problem. The nonlocal equation for the self-similar profile is transformed into a system of ODEs that is solved using a shooting m...

Abstract. The purpose of this paper is to solve a two point boundary value problem (TPBVP) using Multiple Shooting Method. A production model used is a finished good warehouse to store products which are manufactured but not immediately consumed. Once a product is made and put into inventory it incurs the holding costs of two kinds: physically storing and insuring, and the carrying charges of h...

| Time-optimal nonlinear control of rest to rest manoeuvres of Planar Double Arms Robot (PDAR) is solved using Pontryagin's Minimum Principle. The Forward-Backward Method (FBM) is applied to nd a numerical non-optimal solution that satisses the state equations with the initial and the nal boundary conditions. This solution is used to obtain an approximation of the initial values of the costates...

In this paper we discuss a methodology for comparing various ray shooting algorithms through a set of experiments performed on a set of scenes. We develop a computational model for ray shooting algorithms, which allows us to map any particular ray shooting algorithm to the computational model. Further, we develop a performance model for ray shooting algorithms, which establishes the corresponde...

School of Astronautics Department of Astronautics Engineering and Mechanics Bachelor of Engineering Non-smooth Approach for Contact Dynamics and Impulse-based Control of Frictional Furuta Pendulum by Hantian Zhang In this thesis, a non-penetrated and physically consistent non-smooth numerical approach has been proposed, by employing the Prox formulation and Moreau’s mid-point time-stepping rule...

In this article, entropy generation on viscous nanofluid through a horizontal Riga plate has been examined. The present flow problem consists of continuity, linear momentum, thermal energy, and nanoparticle concentration equation which are simplified with the help of Oberbeck-Boussinesq approximation. The resulting highly nonlinear coupled partial differential equations are solved numerically b...

In this paper, a novel planning method is proposed to solve initial velocities of the free sliding object for given initial and final configurations. Finding the desired initial velocities for free sliding objects is a key step for implementing impulse manipulation and multi-agent dynamic cooperative manipulation. The motion of free sliding objects on a plane is governed by friction forces and ...

In the present work, the nonlinear equation of motion of Bernoulli-Euler beam is used for investigating the scalability of the shooting method. A parallel implementation of the complete process of computing the nonlinear frequency-response function is presented and its efficiency is studied. The process involves algebraic operations of sparse and dense matrices and also solutions of linear and ...