Results 31 to 40 of about 1,325 (149)
Analysis of Thermal Stability in a Convecting and Radiating Two-Step Reactive Slab
Advances in Mechanical Engineering, 2013 This paper investigates the combined effects of convective and radiative heat loss on thermal stability of a rectangular slab of combustible materials with internal heat generation due to a two-step exothermic chemical reaction, taking the diffusion of ...
O. D. Makinde, M. S. Tshehla
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Conservative Semidiscrete Difference Schemes for Timoshenko Systems [PDF]
Journal of Applied Mathematics, 2014 We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as ...
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Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption
Abstract and Applied Analysis, 2012 This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant ...
O. D. Makinde
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Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems
, 2019 In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are exponentially ill-posed due to the strong smoothing property of parabolic ...
Leykekhman, Dmitriy +2 more
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Picone-type theorems for semidiscrete hyperbolic equations [PDF]
Proceedings of the American Mathematical Society, 1983 A comparison theorem of Picone-type is established for hyperbolic boundary value problems by means of a semidiscrete approximation.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
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Semidiscrete Shocks for the Full Velocity Difference Model
Applied Mathematics & Optimization, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nader El Khatib +2 more
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, a numerical scheme for time‐delay singularly perturbed parabolic convection‐diffusion problems with boundary turning points is presented. The solution of the problem shows a steep gradient or rapid variation at the left region of the spatial domain as the perturbation parameter approaches zero.
Yimesgen Mehari Kebede +3 more
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Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
, 2015 Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a
Adams +40 more
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