Results 31 to 40 of about 17,997 (206)
Converting DAE models to ODE models: application to reactive Rayleigh distillation [PDF]
This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
Monfreda, Fabien +3 more
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In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit ψ-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced ...
Abdelkrim Salim +3 more
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Continuous Runge–Kutta schemes for pantograph type delay differential equations
Pantograph differential equations are important types of delay differential equations. Using continuous mono-implicit RK schemes, we propose a numerical method for numerically approximating pantograph delay differential equations that are reliable and ...
Fathalla A. Rihan
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On Implicit Time–Fractal–Fractional Differential Equation
An implicit time–fractal–fractional differential equation involving the Atangana’s fractal–fractional derivative in the sense of Caputo with the Mittag–Leffler law type kernel is studied. Using the Banach fixed point theorem, the well-posedness of the solution is proved. We show that the solution exhibits an exponential growth bound, and, consequently,
McSylvester Ejighikeme Omaba +2 more
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Linear-implicit strong schemes for Itô-Galkerin approximations of stochastic PDEs
Linear-implicit versions of strong Taylor numerical schemes for finite dimensional Itô stochastic differential equations (SDEs) are shown to have the same order as the original scheme.
Shott, Stephen, Kloeden, Peter E.
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In engineering, physics, and other fields, implicit ordinary differential equations are essential to simulate complex systems. However, because of their intrinsic nonlinearity and difficulty separating higher-order derivatives, implicit ordinary ...
Brahim Benhammouda, Hector Vazquez-Leal
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This study is devoted to studying the existence and uniqueness of solutions for Hadamard implicit fractional differential equations with generalized Hadamard fractional integro-differential boundary conditions by utilizing the contraction principle of ...
Limin Guo +3 more
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By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
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Development of Heat Conduction Equation using a Heat Propagation Model on ERK Solar Dryer Plates [PDF]
The heat conduction equation is a combination of first-order and second-order differential equations. Solving first-order differential equations is necessary to examine temperature as a function of time.
Yayat Ruhiat, Suherman Suherman
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
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