Errors in a Finite-Difference Solution of the Heat Flow Equation

This note gives magnitudes of discretization errors incurred in a finite difference solution of the heat flow equation in a symmetric slab with the boundary conditions of the third kind.

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On the optimisation of discretising steps in the space and time domains along with over‐relaxation parameter in the finite difference solution of the transient heat‐flow equation

COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ◽

10.1108/03321640010347394 ◽

2000 ◽

Vol 19 (4) ◽

pp. 956-973

Author(s):

J. Akhtar

Keyword(s):

Heat Flow ◽

Finite Difference ◽

Flow Equation ◽

Relaxation Parameter ◽

Space And Time ◽

Transient Heat Flow ◽

Time Domains ◽

Finite Difference Solution ◽

Difference Solution

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Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions

International Journal of Heat and Mass Transfer ◽

10.1016/s0017-9310(03)00050-4 ◽

2003 ◽

Vol 46 (15) ◽

pp. 2911-2916 ◽

Cited By ~ 54

Author(s):

Svetislav Savović ◽

James Caldwell

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Stefan Problem ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

One Dimensional ◽

Finite Difference Solution ◽

Difference Solution

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Finite Difference Solution of the Falkner—Skan Wedge Flow Equation

International Journal of Mechanical Engineering Education ◽

10.7227/ijmee.41.1.1 ◽

2013 ◽

Vol 41 (1) ◽

pp. 1-7

Author(s):

S. Han

Keyword(s):

Finite Difference ◽

Flow Equation ◽

Wedge Flow ◽

Finite Difference Solution ◽

Difference Solution

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Explicit finite difference solution of the power flow equation in W-type optical fibers

Optics & Laser Technology ◽

10.1016/j.optlastec.2012.01.018 ◽

2012 ◽

Vol 44 (6) ◽

pp. 1786-1790 ◽

Cited By ~ 16

Author(s):

Svetislav Savović ◽

Ana Simović ◽

Alexandar Djordjevich

Keyword(s):

Finite Difference ◽

Optical Fibers ◽

Power Flow ◽

Flow Equation ◽

Finite Difference Solution ◽

Explicit Finite Difference ◽

Difference Solution

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Discretization errors inherent in finite difference solution of propeller noise problems

10.2514/6.1990-3943 ◽

1990 ◽

Author(s):

CHRISTOPHER TAM

Keyword(s):

Finite Difference ◽

Propeller Noise ◽

Finite Difference Solution ◽

Discretization Errors ◽

Difference Solution

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Finite difference solution of the third boundary problem in elliptic and parabolic equations

Numerische Mathematik ◽

10.1007/bf02165161 ◽

1967 ◽

Vol 10 (1) ◽

pp. 67-75 ◽

Cited By ~ 12

Author(s):

P. Keast ◽

A. R. Mitchell

Keyword(s):

Finite Difference ◽

Boundary Problem ◽

Parabolic Equations ◽

The Third ◽

Elliptic And Parabolic Equations ◽

Finite Difference Solution ◽

Difference Solution

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Discretization errors inherent in finite difference solution of propeller noise problems

AIAA Journal ◽

10.2514/3.10963 ◽

1992 ◽

Vol 30 (3) ◽

pp. 608-615 ◽

Cited By ~ 2

Author(s):

Christopher K. W. Tam

Keyword(s):

Finite Difference ◽

Propeller Noise ◽

Finite Difference Solution ◽

Discretization Errors ◽

Difference Solution

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PML and CFS-PML boundary conditions for a mesh-free finite difference solution of the elastic wave equation

Applied Geophysics ◽

10.1007/s11770-019-0783-0 ◽

2019 ◽

Vol 16 (4) ◽

pp. 438-454

Author(s):

Cheng-Yu Sun ◽

Shi-Zhong Li ◽

Ning Xu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Elastic Wave ◽

Elastic Wave Equation ◽

Mesh Free ◽

Finite Difference Solution ◽

Difference Solution

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Significant Error Propagation in the Finite Difference Solution of Linear and Non-Linear Two dimensional Magnetostatic problems utilizing boundary condition of the third kind

2008 Joint International Conference on Power System Technology and IEEE Power India Conference ◽

10.1109/icpst.2008.4745164 ◽

2008 ◽

Cited By ~ 1

Author(s):

E. Afjei ◽

H. Moradi ◽

A. Kokabi

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Error Propagation ◽

Significant Error ◽

Two Dimensional ◽

The Third ◽

Non Linear ◽

Finite Difference Solution ◽

Difference Solution

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Finite difference solution of the problem of viscous flow and heat transfer between two porous rotating disks

Acta Mechanica ◽

10.1007/bf01177332 ◽

1995 ◽

Vol 108 (1-4) ◽

pp. 111-120 ◽

Cited By ~ 3

Author(s):

J. Sinha Roy ◽

S. Padhy ◽

L. Keshora Bhopa

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Viscous Flow ◽

Rotating Disks ◽

Flow And Heat Transfer ◽

Finite Difference Solution ◽

Difference Solution

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