Results 11 to 20 of about 1,675 (248)
Exact method to solve of linear heat transfer problems [PDF]
E3S Web of Conferences, 2021 When approximating multidimensional partial differential equations, the values of the grid functions from neighboring layers are taken from the previous time layer or approximation.
Abdullayev Akmaljon +2 more
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Ain Shams Engineering Journal, 2018 In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
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Mathematics, 2021 Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem.
Santolo Meo, Luisa Toscano
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Frontiers in Physics, 2021 In this paper we will review a recent emerging paradigm shift in the construction and analysis of high order Discontinuous Galerkin methods applied to approximate solutions of hyperbolic or mixed hyperbolic-parabolic partial differential equations (PDEs)
Gregor J. Gassner, Andrew R. Winters
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Modeling and analysis of adipocytes dynamic with a differentiation process [PDF]
ESAIM: Proceedings and Surveys, 2020 We propose in this article a model describing the dynamic of a system of adipocytes, structured by their sizes. This model takes into account the differentiation of a population of mesenchymal cells into preadipocytes and of preadipocytes into adipocytes;
Gilleron Jérôme +7 more
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Computation, 2023 In this paper, we present an innovative approach to solve a system of boundary value problems (BVPs), using the newly developed discontinuous Galerkin (DG) method, which eliminates the need for auxiliary variables.
Helmi Temimi
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Dynamics of shell with destructive heat-protective coating under running load [PDF]
INCAS Bulletin, 2019 The problem of dynamic deformation of a plate with a two-layer composite shell with a heat-shattering coating collapsing in time under the action of a running load is solved approximately.
Boris A. ANTUFEV +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
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On numerical solution of ordinary differential equations with discontinuities [PDF]
Applications of Mathematics, 1988 The author considers the initial value problem for the system of ordinary differential equations (1) \(y'=f(t,y)\), \(y(a)=y_ 0\) on \(I=\) where the function f is of Caratheodory's type and satisfies the Perron condition. A bounded function x is a solution of (1) if it is absolutely continuous on I, satisfies the initial condition and the equation ...
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A Survey of Recent Results for the Generalizations of Ordinary Differential Equations
Abstract and Applied Analysis, 2014 This is a review paper on recent results for different types of generalized ordinary differential equations. Its scope ranges from discontinuous equations to equations on time scales. We also discuss their relation with inclusion and highlight the use of
Daniel C. Biles +2 more
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