Results 311 to 320 of about 235,217 (374)

Parabolic and Hyperbolic Partial Differential Equations

1990
We consider the temperature distribution y(x,t) along a homogeneous rod of length L, which at one end (x=L) is held at temperature 0, while at the other end (x=0) the temperature is prescribed as a function b(t) of time. Let the thermal conductivity of the rod be f(x), the initial temperature be given as a(x), and let there be interior heat generation ...
openaire   +1 more source

Predictor‐corrector methods for parabolic partial differential equations

International Journal for Numerical Methods in Engineering, 1983
AbstractIn this paper we extend predictor‐corrector methods, commonly used for the numerical solution of ordinary differential equations (o.d.e.s), to parabolic partial differential equations (p.d.e.s), typically of the form ut = auxx + ƒ(u, ux, x, t).We describe linear multistep methods for p.d.e.s, the nonlinear algebraic equations arising from ...
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A qualocation method for parabolic partial differential equations

IMA Journal of Numerical Analysis, 1999
For a semilinear parabolic partial differential equation in one space dimension, the numerical approximation by means of a qualocation method (a quadrature-based modification of a collocation method) is studied. After a Galerkin ansatz with piecewise cubic polynomials, the appearing integrals are approximated using a fourth-order composite two-point ...
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Method of Lines for Parabolic Partial Differential Equations

2010
Mathematical modeling of mass or heat transfer in solids involves Fick’s law of mass transfer or Fourier’s law of heat conduction. Engineers are interested in the distribution of heat or concentration across the slab or the material in which the experiment is performed. This process is usually time varying and eventually reaches a steady state.
Ralph E. White, Venkat R. Subramanian
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On the Theoretical and Numerical Control of a One-Dimensional Nonlinear Parabolic Partial Differential Equation

Journal of Optimization Theory and Applications, 2017
E. Fernández-Cara, Dany Nina-Huamán, Miguel Roberto Nuñez Chávez, Franciane B. Vieira   +3 more
semanticscholar   +1 more source

Kneser's property for a parabolic partial differential equation

Nonlinear Analysis: Theory, Methods & Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Simultaneous estimation of nonlinear parameters in parabolic partial differential equation using quantum-behaved particle swarm optimization with Gaussian mutation

International Journal of Machine Learning and Cybernetics, 2014
Na Tian, Zhicheng Ji, Choi-Hong Lai
semanticscholar   +1 more source

On linear parabolic partial differential equations

2011
unknown ...
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OPTIMAL FISH HARVESTING FOR A POPULATION MODELED BY A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION

, 2016
M. R. Kelly, Y. Xing, S. Lenhart
semanticscholar   +1 more source

A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

, 2014
R. Nageshwar Rao and P. Pramod Chakravarthy
semanticscholar   +1 more source