Results 61 to 70 of about 234,656 (222)
, 2017 An important ingredient in numerical modelling of high temperature magnetised astrophysical plasmas is the anisotropic transport of heat along magnetic field lines from higher to lower temperatures.Magnetohydrodynamics (MHD) typically involves solving ...
Mignone, Andrea +4 more
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Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique
Boundary Value ProblemsThis study presents a novel numerical approach for approximating the solution of third-order pseudo-parabolic partial differential equations (PDEs), which exhibit both parabolic and hyperbolic characteristics.
Neeraj Dhiman +4 more
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On a Fourth Order Parabolic Equation with Mixed Type Boundary Conditions in a Nonrectangular Domain
Moroccan Journal of Pure and Applied Analysis, 2015 This paper is devoted to the study of the following fourth order parabolic equation ∂tu + ∂x4u = f in the non-necessarily rectangular ...
Kheloufi Arezki
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Mathematics, 2022 The paper studies a degenerate nonlinear parabolic equation containing a convective term and a source (reaction) term. It considers the construction of approximate solutions to this equation with a specified law of diffusion wave motion, the existence of
Alexander Kazakov, Lev Spevak
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Asymptotic expansions of the solutions of the Cauchy problem for nonlinear parabolic equations
, 2012 Let $u$ be a solution of the Cauchy problem for the nonlinear parabolic equation $$ \partial_t u=\Delta u+F(x,t,u,\nabla u) \quad in \quad{\bf R}^N\times(0,\infty), \quad u(x,0)=\varphi(x)\quad in \quad{\bf R}^N, $$ and assume that the solution $u ...
A. Carpio +33 more
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An Innovative Parabolic Trough Collector Design with a Twin-Cavity Receiver
Applied Sciences, 2022 An innovative parabolic trough concentrator coupled to a twin cavity receiver (PTC-TC) in evacuated tube conditions is investigated thermally and optically.
Dimitrios N. Korres +3 more
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, 2014 The aim of this paper is to extend the global error estimation and control addressed in Lang and Verwer [SIAM J. Sci. Comput. 29, 2007] for initial value problems to finite difference solutions of semilinear parabolic partial differential equations.
Berzins +15 more
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Life span of blow-up solutions for higher-order semilinear parabolic equations
Electronic Journal of Differential Equations, 2010 In this article, we study the higher-order semilinear parabolic equation $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
doaj
Parameter-uniform numerical treatment of singularly perturbed parabolic delay differential equations with nonlocal boundary conditions [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis paper focuses on solving singularly perturbed parabolic equations of the convection-diffusion type with a large negative spatial shift and an integral boundary condition.
W.S. Hailu, G.F. Duressa
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Mathematical Approach for Mechanical Behaviour Analysis of FGM Plates on Elastic Foundation
Mathematics, 2022 This paper presents the flexural analysis of functionally graded plates resting on elastic foundations using new two-dimensional (2D) and quasi-three-dimensional (quasi-3D) higher order shear deformation theories.
Fatima Zohra Zaoui +7 more
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