Stability and accuracy of power-series method for one-dimensional heat conduction with non-uniform grid systems

Kazuhiro Fukuyo

doi:10.1002/htj.20085

Stability and accuracy of power-series method for one-dimensional heat conduction with non-uniform grid systems

Heat Transfer-Asian Research ◽

10.1002/htj.20085 ◽

2005 ◽

Vol 34 (7) ◽

pp. 470-480 ◽

Cited By ~ 1

Author(s):

Kazuhiro Fukuyo

Keyword(s):

Heat Conduction ◽

Power Series ◽

Uniform Grid ◽

Series Method ◽

Power Series Method ◽

Grid Systems ◽

One Dimensional ◽

Stability And Accuracy

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Stability and Accuracy of Power-series Method (In Case of One-dimensional Heat Conduction)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.71.565 ◽

2005 ◽

Vol 71 (702) ◽

pp. 565-572 ◽

Cited By ~ 1

Author(s):

Kazuhiro FUKUYO

Keyword(s):

Heat Conduction ◽

Power Series ◽

Series Method ◽

Power Series Method ◽

One Dimensional ◽

Stability And Accuracy

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Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space

Fundamenta Informaticae ◽

10.3233/fi-2019-1795 ◽

2019 ◽

Vol 166 (2) ◽

pp. 87-110 ◽

Cited By ~ 64

Author(s):

Omar Abu Arqub

Keyword(s):

Power Series ◽

Dimensional Space ◽

Schrödinger Equations ◽

Series Method ◽

Power Series Method ◽

One Dimensional ◽

Residual Power Series Method ◽

Fractional Schrödinger Equations ◽

Residual Power Series ◽

Residual Power

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The residual power series method for the one-dimensional unsteady flow of a van der Waals gas

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2018.11.030 ◽

2019 ◽

Vol 517 ◽

pp. 188-196 ◽

Cited By ~ 8

Author(s):

Emad A. Az-Zo’bi ◽

Ahmet Yıldırım ◽

Wael A. AlZoubi

Keyword(s):

Power Series ◽

Unsteady Flow ◽

Series Method ◽

Van Der Waals Gas ◽

Power Series Method ◽

One Dimensional ◽

Residual Power Series Method ◽

Residual Power Series ◽

The One ◽

Residual Power

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POWER-SERIES METHOD FOR TWO-DIMENSIONAL HEAT CONDUCTION PROBLEMS

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790590883531 ◽

2005 ◽

Vol 47 (3) ◽

pp. 239-255 ◽

Cited By ~ 5

Author(s):

Kazuhiro Fukuyo

Keyword(s):

Heat Conduction ◽

Power Series ◽

Two Dimensional ◽

Series Method ◽

Power Series Method

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Stability and Accuracy of Power-series Method Applied to Transpiration Cooling Problems

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790500272293 ◽

2005 ◽

Vol 48 (5) ◽

pp. 445-457 ◽

Cited By ~ 4

Author(s):

Kazuhiro Fukuyo

Keyword(s):

Power Series ◽

Transpiration Cooling ◽

Series Method ◽

Power Series Method ◽

Stability And Accuracy

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Some applications of the least squares-residual power series method for fractional generalized long wave equations

Journal of Ocean Engineering and Science ◽

10.1016/j.joes.2021.09.001 ◽

2021 ◽

Author(s):

Zeliha Korpinar ◽

Dumitru Baleanu ◽

Mustafa Inc ◽

Bandar Almohsen

Keyword(s):

Power Series ◽

Least Squares ◽

Wave Equations ◽

Series Method ◽

Power Series Method ◽

Residual Power Series Method ◽

Long Wave ◽

Residual Power Series ◽

Residual Power

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A Power Series Method for Treating Mixed Boundary Value Problems

IMA Journal of Applied Mathematics ◽

10.1093/imamat/21.1.1 ◽

1978 ◽

Vol 21 (1) ◽

pp. 1-12

Author(s):

J. W. CRAGGS ◽

P. W. DUCK

Keyword(s):

Power Series ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Series Method ◽

Power Series Method ◽

Mixed Boundary Value Problems

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The Scope of the Power Series Method

Mathematics Magazine ◽

10.4169/math.mag.86.1.056 ◽

2013 ◽

Vol 86 (1) ◽

pp. 56-62

Author(s):

Richard Beals

Keyword(s):

Power Series ◽

Series Method ◽

Power Series Method

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A new approach for space-time fractional partial differential equations by residual power series method

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.032 ◽

2018 ◽

Vol 336 ◽

pp. 215-230 ◽

Cited By ~ 5

Author(s):

Mine Aylin Bayrak ◽

Ali Demir

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Series Method ◽

Fractional Partial Differential Equations ◽

Power Series Method ◽

New Approach ◽

Residual Power Series Method ◽

Residual Power Series ◽

Residual Power

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Residual Power Series Method for Wave Type Equations

10.1109/icaem53552.2021.9547100 ◽

2021 ◽

Author(s):

Mubashir Qayyum ◽

Amna Khan

Keyword(s):

Power Series ◽

Series Method ◽

Wave Type ◽

Power Series Method ◽

Residual Power Series Method ◽

Residual Power Series ◽

Residual Power

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