Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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BOUNDARY-VALUE PROBLEMS WITH GENERALIZED GLUING CONDITIONS FOR A LOADED DIFFERENTIAL EQUATION WITH A PARABOLIC-HYPERBOLIC OPERATOR [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 In the present work we study the unique solvability of local boundary value problems with generalized gluing conditions for the third order differential equation with a loaded parabolic-hyperbolic operator.
Islomov B., Baltaeva U. I.
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
Brunner, Hermann +3 more
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
Abstract and Applied Analysis, 1998 We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation.
Mehmet Camurdan
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the present study, a numerical study for source identification problems with the Neumann boundary condition for a one-dimensional hyperbolic-parabolic equation is presented.
M.A. Ashyralyeva, M. Ashyralyev
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Scientific Reports, 2021 The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
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