DELAY_DIFFERENTIAL_EQUATIONS

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相关机构：华东师范大学中国科学院数学与系统科学研究院湖南大学哈尔滨工业大学更多>>
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Review Study of Detection of Diabetes Models through Delay Differential Equations
《Applied Mathematics》2016年第10期1087-1102,共16页Dimplekumar Chalishajar David H. Geary Geoffrey Cox 
Mathematical models based on advanced differential equations are utilized to analyze the glucose-insulin regulatory system, and how it affects the detection of Type I and Type II diabetes. In this paper, we have incor...
关键词：Delay Differential Equations MATLAB DIABETES Insulin-Glucose Model 
On the Stability and Boundedness of Solutions of Certain Non-Autonomous Delay Differential Equation of Third Order被引量：2
《Applied Mathematics》2016年第6期457-467,共11页Akinwale L. Olutimo Daniel O. Adams 
In this paper, we study certain non-autonomous third order delay differential equations with continuous deviating argument and established sufficient conditions for the stability and boundedness of solutions of the eq...
关键词：Asymptotic Stability BOUNDEDNESS Lyapunov Functional Delay Differential Equations Third-Order Delay Differential Equations 
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
《Applied Mathematics》2016年第6期518-526,共9页Mahmoud N. Sherif 
The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We introduce the description ...
关键词：Fractional Differential Equation Spline Functions Taylor Expansion STABILITY 
The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations
《Applied Mathematics》2015年第8期1332-1343,共12页Musa Cakir Derya Arslan 
In this paper, the Adomian Decomposition Method (ADM) and the Differential Transform Method (DTM) are applied to solve the multi-pantograph delay equations. The sufficient conditions are given to assure the convergenc...
关键词：Multi-Pantograph Delay DIFFERENTIAL Equations Adomian DECOMPOSITION METHOD (ADM) DIFFERENTIAL Transform METHOD (DTM) Convergence of Adomian DECOMPOSITION METHOD 
Solution of Delay Differential Equations Using a Modified Power Series Method
《Applied Mathematics》2015年第4期670-674,共5页Oladotun Matthew Ogunlaran Adeyemi Sunday Olagunju 
This paper presents a Modified Power Series Method (MPSM) for the solution of delay differential equations. Unlike the traditional power series method which is applied to solve only linear differential equations, this...
关键词：DELAY DIFFERENTIAL EQUATIONS Power SERIES TAYLOR SERIES Newton’s Method 
Differential Transform Method for Some Delay Differential Equations
《Applied Mathematics》2015年第3期585-593,共9页Baoqing Liu Xiaojian Zhou Qikui Du 
This paper concentrates on the differential transform method (DTM) to solve some delay differential equations (DDEs). Based on the method of steps for DDEs and using the computer algebra system Mathematica, we success...
关键词：DIFFERENTIAL Transform METHOD Delay DIFFERENTIAL Equation METHOD of STEPS ANALYTIC SOLUTION Approximate SOLUTION 
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations被引量：7
《Applied Mathematics》2014年第15期2360-2369,共10页M. M. Khader A. M. S. Mahdy M. M. Shehata 
In this paper, we propose and analyze some schemes of the integral collocation formulation based on Legendre polynomials. We implement these formulae to solve numerically Riccati, Logistic and delay differential equat...
关键词：INTEGRAL COLLOCATION FORMULATION Spectral Method RICCATI LOGISTIC and Delay Differential Equations 
An Asymptotic-Fitted Method for Solving Singularly Perturbed Delay Differential Equations
《Applied Mathematics》2012年第8期895-902,共8页Awoke Andargie Yanala Narsimha Reddy 
In this paper, we presented an asymptotic fitted approach to solve singularly perturbed delay differential equations of second order with left and right boundary. In this approach, the singularly perturbed delay diffe...
关键词：Asymptotic-Fitted Scheme Delay-Differential EQUATIONS SINGULAR PERTURBATION Boundary Layer 
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