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181
Approximate controllability of nonautonomous nonlocal delay differential equations with deviating arguments
Published 2017-04-01“…The objective of this article is to prove sufficient conditions for the approximate controllability for a class of nonautonomous nonlocal finite delay differential equations with deviating arguments in a Hilbert space. …”
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182
Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations
Published 2014-01-01“…The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. …”
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183
Delay differential equations and the dose-time dependence of early radiotherapy reactions.
Published 2006“…Several formulas have been derived from the delay differential equation, predicting changes in isoeffective total radiation dose with schedule duration for different types of fractionation scheme. …”
Journal article -
184
Direct block method for solving delay differential equations with initial conditions
Published 2023“…This study applied direct block multistep method with strategy to reduce function call in order to solve Delay Differential Equation (DDE) with initial condition. This study solves constant and pantograph delay type where the proposed method uses the previous calculated solutions and apply Lagrange interpolation method for the respective types of delay. …”
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185
Numerical solution and stability of multistep method for solving delay differential equations.
Published 2010“…This paper considers the numerical solution of delay differential equations. The predictor–corrector scheme based on generalized multistep methods are implemented in variable order variable stepsize techniques. …”
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186
One-step block methods for solving ordinary and delay differential equations
Published 2011“…The numerical results have shown that the block methods proposed in this study are suitable for solving ordinary and delay differential equations.…”
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Thesis -
187
Efficient interpolators in implicit block method for solving delay differential equations
Published 2013“…These interpolation techniques prove to be both efficient and reliable with the two-point implicit block method in solving a wide range of delay differential equations. …”
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188
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Solving Delay Differential Equations Using Explicit Runge-Kutta Method
Published 2004Subjects: “…Delay differential equations - Numerical solutions…”
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190
Block method with Hermite interpolation for numerical solution of delay differential equations
Published 2012“…In this paper, we consider a two-point implicit block method for solving delay differential equations. For greater efficiency, the block method is implemented in variable stepsize technique. …”
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Conference or Workshop Item -
191
Multistep block methods for solving higher order delay differential equations
Published 2016Subjects: “…Delay differential equations - Numerical solutions…”
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Thesis -
192
Operational matrix based on Genocchi polynomials for solution of delay differential equations
Published 2017“…In this paper, we present a new simple and effective algorithm for solving generalized Pantograph equa-tions, delay differential equations with neutral terms and delay differential system with constant and variable coefficients.The new method is based on one of the Appell polynomials, namely Genocchi poly-nomials. …”
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193
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Delay differential equations (DDEs) and its applications in pollution clean-up system /
Published 2006Subjects: “…Delay differential equations…”
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195
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197
A Systematic Derivation of Stochastic Taylor Methods for Stochastic Delay Differential Equations
Published 2013“…This article demonstrates a systematic derivation of stochastic Taylor methods for solving stochastic delay differential equations (SDDEs) with a constant time lag, r > 0. …”
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198
Numerical solution of fractional order delay differential equation via collocation method
Published 2019“…This paper is devoted to investigation the superconvergence of the fractional order delay differential equation via collocation method. The method is based on the truncated Taylors polynomial. …”
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Conference or Workshop Item -
199
Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
Published 2021-08-01Subjects: “…delay differential equations…”
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200
Numerical Oscillations Analysis for Nonlinear Delay Differential Equations in Physiological Control Systems
Published 2012-01-01“…This paper deals with the oscillations of numerical solutions for the nonlinear delay differential equations in physiological control systems. …”
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