A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications

Certain problems arising in engineering are modeled by nonstandard parabolic initial‐boundary value problems in one space variable, which involve an integral term over the spatial domain of a function of the desired solution. Hence, in the past few years interest has substantially increased in the s...

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Bibliographic Details
Published in:	Numerical methods for partial differential equations Vol. 22; no. 1; pp. 220 - 257
Main Author:	Dehghan, Mehdi
Format:	Journal Article
Language:	English
Published:	Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2006
Subjects:	boundary element method decomposition method double shifted Legendre series existence explicit schemes finite difference schemes Galerkin procedure implicit techniques Keller-box scheme Legendre Tau method nonstandard boundary value problems numerical integration orthogonal spline collocation pade approximant parallel algorithms product integration method representation of solutions Runge-Kutta-Chebyshev formula second-order parabolic equation semidiscretization techniques separation of variables stability uniqueness wavelet-Galerkin technique
ISSN:	0749-159X, 1098-2426
Online Access:	Get full text
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