scholarly journals A Novel Approach for Solving Fuzzy Differential Equations Using Cubic Spline Method

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
S. Karpagappriya ◽  
Nazek Alessa ◽  
P. Jayaraman ◽  
K. Loganathan
Keyword(s):  
Differential Equations ◽  
Cubic Spline ◽  
Single Step ◽  
Spline Method ◽  
Initial Value ◽  
Step Method ◽  
New Class ◽  
Novel Approach ◽  
Cubic Spline Function ◽  
Real World Problems

Ambiguity in real-world problems can be modeled into fuzzy differential equations. The main objective of this work is to introduce a new class of cubic spline function approach to solve fuzzy initial value problems efficiently. Further, the convergence of this method is shown. As it is a single-step method that converges faster, the complexity of the proposed method is too low. Finally, a numerical example is illustrated in order to validate the effectiveness and feasibility of the proposed method, and the results are compared with the exact as well as Taylor’s method of order two.

scholarly journals Explicit Fourth-Derivative Two-Step Linear Multistep Method for Ordinary Differential Equations

2017 ◽  
Vol 4 (1) ◽  
Author(s):  
Ashiribo Wusu ◽  
Moses Akanbi
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Single Step ◽  
Multistep Method ◽  
Linear Multistep Method ◽  
Convergence Properties ◽  
Step Method ◽  
Science And Engineering ◽  
Linear Difference Operator ◽  
Fourth Derivative

Many problems from science and engineering are modeled by Ordinary Differential Equations (ODEs) whose solutions describe the temporal evolution of the modeled processes. In most cases however, the arising equations are too complex to be solved analytically. Consequently, their solutions have to be approximated by numerical methods. In this article, we propose an explicit fourth-derivative two-step linear multistep method (FD2LMM) for ordinary differential equations. The proposed method is constructed by using the maximal order criteria which is obtained through the associated linear difference operator. The starting values used by the proposed method are obtained by suitable single-step method. The order, consistency, linear stability, and the convergence properties of the method are discussed. Numerical experiments are performed and the results are compared with those of existing methods in the literature.

scholarly journals Existence and Stability of Solutions for Bilinear Control System with Rieman-Leovel Initial Condition

2017 ◽  
Vol 28 (1) ◽  
pp. 118
Author(s):  
Sameer Q. Hasan ◽  
Fatima S. Hussein
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Sobolev Type ◽  
Initial Condition ◽  
Almost Periodic ◽  
Initial Value ◽  
Bilinear Control ◽  
New Class ◽  
Fractional Order Differential Equations ◽  
Existence And Stability

In this paper, we shall study the existence of a new class called fractional Caputo type of order sobolev type fractional order differential Equations motion in separable Banach spaces. The class of impulsive nonlinear fractional order bilinear control differential Equations with Riemann Leovel differential initial value studied and discussed also given the important results for the almost periodic mild solution to be sTable by using Menards function and granwal fractional inequality.

scholarly journals A Step Block Algorithm for Solving First Order Initial Value Problems in Ordinary Differential Equations

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Emmanuel O Adeyefa ◽  
Oluwatosin Fadaka
Keyword(s):  
Finite Difference ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Initial Value Problems ◽  
Finite Difference Methods ◽  
Initial Value ◽  
Step Method ◽  
Block Algorithm ◽  
One Step ◽  
Difference Methods

The implementation of the newly formulated polynomials, ADEM-B orthogonal polynomials,  valid in the interval [-1, 1] with respect to weight function is our major focus in this work. The polynomials, which serve as basis function are employed to develop finite difference methods. Varying off-step points are considered for only One-Step method for the solution of the initial value problems of Ordinary Differential Equations (ODEs).  By selection of points for both interpolation and collocation, threeimportant class of block finite difference methods are produced. The methods are analyzed for their basic properties and findings show that they are accurate and convergent.

Purification of Urokinase from Complex Mixtures Using Immobilized Monoclonal Antibody Against Urokinase Light Chain

1983 ◽  
Vol 49 (01) ◽  
pp. 024-027 ◽  
Author(s):  
David Vetterlein ◽  
Gary J Calton
Keyword(s):  
Monoclonal Antibody ◽  
Light Chain ◽  
Culture Media ◽  
Biological Fluids ◽  
Single Step ◽  
High Yield ◽  
Step Method ◽  
Commercial Preparation ◽  
E Coli ◽  
Tissue Culture Media

SummaryThe preparation of a monoclonal antibody (MAB) against high molecular weight (HMW) urokinase light chain (20,000 Mr) is described. This MAB was immobilized and the resulting immunosorbent was used to isolate urokinase starting with an impure commercial preparation, fresh urine, spent tissue culture media, or E. coli broth without preliminary dialysis or concentration steps. Monospecific antibodies appear to provide a rapid single step method of purifying urokinase, in high yield, from a variety of biological fluids.

A Plug-and-Play Approach for the De Novo Generation of Dually Functionalised Bispecifics

2019 ◽  
Author(s):  
Antoine Maruani ◽  
Peter A. Szijj ◽  
Calise Bahou ◽  
João C. F. Nogueira ◽  
Stephen Caddick ◽  
...  
Keyword(s):  
De Novo ◽  
Therapeutic Index ◽  
Antibody Fragments ◽  
Bispecific Antibodies ◽  
Full Potential ◽  
Mechanisms Of Resistance ◽  
Large Excess ◽  
Chemical Methods ◽  
New Class ◽  
Novel Approach

<p>Diseases are multifactorial, with redundancies and synergies between various pathways. However, most of the antibody-based therapeutics in clinical trials and on the market interact with only one target thus limiting their efficacy. The targeting of multiple epitopes could improve the therapeutic index of treatment and counteract mechanisms of resistance. To this effect, a new class of therapeutics emerged: bispecific antibodies.</p><p>Bispecific formation using chemical methods is rare and low yielding and/or requires a large excess of one of the two proteins to avoid homodimerisation. In order for chemically prepared bispecifics to deliver their full potential, high-yielding, modular and reliable cross-linking technologies are required. Herein, we describe a novel approach not only for the rapid and high-yielding chemical generation of bispecific antibodies from native antibody fragments, but also for the site-specific dual functionalisation of the resulting bioconjugates. Based on orthogonal clickable functional groups, this strategy enables the assembly of functionalised bispecifics with controlled loading in a modular and convergent manner.</p>

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