Results 41 to 50 of about 233,661 (218)
A generalized regularization scheme for solving singularly perturbed parabolic PDEs
Partial Differential Equations in Applied Mathematics, 2022 Many problems in science and engineering can be modeled as singularly perturbed partial differential equations. Solutions to such problems are not generally continuous with respect to the perturbation parameter(s) and hence developing stable and ...
M.P. Rajan, G.D. Reddy
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Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems [PDF]
, 2006 We derive a posteriori error estimates for fully discrete approximations to solutions of linear parabolic equations. The space discretization uses finite element spaces that are allowed to change in time. Our main tool is an appropriate adaptation of the
Lakkis, Omar, Makridakis, Charalambos
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Nonautonomous Dynamical Systems, 2014 We establish the well-posedness of boundary value problems for a family of nonlinear higherorder parabolic equations which comprises some models of epitaxial growth and thin film theory. In order to achieve this result, we provide a unified framework for
Sandjo Albert N., Soh Célestin Wafo
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Results in Applied Mathematics, 2023 The singularly perturbed parabolic convection–diffusion equations with integral boundary conditions and a large negative shift are studied in this paper.
Wondimagegnehu Simon Hailu +1 more
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Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise II. Fully discrete schemes [PDF]
, 2012 We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise.
A. Bouard de +25 more
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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Advances in Difference Equations, 2021 This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral boundary condition on a rectangular domain.
Sekar Elango +6 more
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A novel collocation technique for parabolic partial differential equations
Ain Shams Engineering Journal, 2022 The present study focuses on an accurate, convergent, stable and efficient method for solving the parabolic Fisher’s type equation with three different cases.
M.J. Huntul +3 more
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STUDY OF AMMONIA VOLATILIZATION IN SOME NORTHERN IRAQ SOILS [PDF]
Mesopotamia Journal of Agriculture, 2010 Ammonia volatilization phenomena from urea fertilizer was studied by using three different textures of calcareous soil(loamy sand ,clay loamand clay) from Mosul city – northern Iraq, classified as calciorthids .Urea was added at three rates (100,200 and ...
M. Alobaidi, R. Al-Hamdany, M. Saaid
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Method of lines transpose: High order L-stable O(N) schemes for parabolic equations using successive convolution [PDF]
, 2016 We present a new solver for nonlinear parabolic problems that is L-stable and achieves high order accuracy in space and time. The solver is built by first constructing a single-dimensional heat equation solver that uses fast O(N) convolution.
Causley, Matthew F. +3 more
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