Results 21 to 30 of about 3,638 (308)
Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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On the Weak Characteristic Function Method for a Degenerate Parabolic Equation
Journal of Function Spaces, 2019 For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
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On a parabolic partial differential equation and system modeling a production planning problem
Electronic Research Archive, 2022 We consider a parabolic partial differential equation and system derived from a production planning problem dependent on time. Our goal is to find a closed-form solution for the problem considered in our model.
Dragos-Patru Covei
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On solvability of a mixed value problem for nonlinear partial differential equation of higher order
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The questions of one valued generalized solvability of mixed value problem for nonlinear partial differential equation with the parabolic operator of arbitrary natural power are studied. The separation of variables is used.
Tursun K Yuldashev
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Two approximation methods for fractional order Pseudo-Parabolic differential equations
Alexandria Engineering Journal, 2022 In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation.
Mahmut. Modanli +4 more
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The asymptotic solution of a singularly perturbed Cauchy problem for Fokker-Planck equation
Discrete and Continuous Models and Applied Computational Science, 2021 The asymptotic method is a very attractive area of applied mathematics. There are many modern research directions which use a small parameter such as statistical mechanics, chemical reaction theory and so on. The application of the Fokker-Planck equation
Mohamed A. Bouatta +2 more
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On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
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Frontiers in Physics, 2023 This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order scheme is deliberated.
Yasir Nawaz +4 more
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Ontologies for FAIR Data in Additive Manufacturing: A Use Case‐Based Evaluation
Advanced Engineering Materials, EarlyView.An ontology‐based approach for generating findable, accessible, interoperable, reusable data in additive manufacturing is explored, focusing on powder bed fusion. The article highlights the benefits of enhanced data findability and digital twin enablement, while addressing challenges like data integration complexity and the need for specialized ...
Thomas Bjarsch +2 more
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Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet-Neumann Conditions
Abstract and Applied Analysis, 2012 The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumann boundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1/(𝜏+|ℎ|)) for the solution of these difference schemes
Zafer Cakir
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