A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz equation

Majid Nabavi; M.H. Kamran Siddiqui; Javad Dargahi

doi:10.1016/j.jsv.2007.06.070

A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz equation

Journal of Sound and Vibration ◽

10.1016/j.jsv.2007.06.070 ◽

2007 ◽

Vol 307 (3-5) ◽

pp. 972-982 ◽

Cited By ~ 46

Author(s):

Majid Nabavi ◽

M.H. Kamran Siddiqui ◽

Javad Dargahi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A sixth-order compact finite difference method for vibrational analysis of nanobeams embedded in an elastic medium based on nonlocal beam theory

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.06.030 ◽

2011 ◽

Vol 54 (11-12) ◽

pp. 2577-2586 ◽

Cited By ~ 35

Author(s):

R. Ansari ◽

R. Gholami ◽

K. Hosseini ◽

S. Sahmani

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Elastic Medium ◽

Difference Method ◽

Vibrational Analysis ◽

Beam Theory ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Nonlocal Beam

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Vibration analysis of Euler–Bernoulli nanobeams embedded in an elastic medium by a sixth-order compact finite difference method

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.08.019 ◽

2016 ◽

Vol 40 (3) ◽

pp. 2396-2406 ◽

Cited By ~ 12

Author(s):

S.A. Mohamed ◽

R.A. Shanab ◽

L.F. Seddek

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Elastic Medium ◽

Difference Method ◽

Vibration Analysis ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.11.045 ◽

2013 ◽

Vol 219 (10) ◽

pp. 4977-4991 ◽

Cited By ~ 16

Author(s):

R. Ansari ◽

K. Hosseini ◽

A. Darvizeh ◽

B. Daneshian

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Surface Stress ◽

Vibration Analysis ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Stress Effects ◽

Classical Vibration

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Sixth-order compact finite difference method for singularly perturbed 1D reaction diffusion problems

Journal of Taibah University for Science ◽

10.1016/j.jtusci.2015.12.010 ◽

2017 ◽

Vol 11 (2) ◽

pp. 302-308 ◽

Cited By ~ 3

Author(s):

Fasika Wondimu Gelu ◽

Gemechis File Duressa ◽

Tesfaye Aga Bullo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Sixth Order ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Diffusion Problems

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A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1349 ◽

2009 ◽

Vol 27 (7) ◽

pp. 1126-1138 ◽

Cited By ~ 17

Author(s):

Murat Sari ◽

Gürhan Gürarslan

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Gordon Equation ◽

Sixth Order ◽

Sine Gordon Equation ◽

Compact Finite Difference ◽

One Dimensional ◽

Compact Finite Difference Method ◽

The One

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Two different temporal domain integration schemes combined with compact finite difference method to solve modified Burgers’ equation

Ain Shams Engineering Journal ◽

10.1016/j.asej.2021.05.021 ◽

2021 ◽

Author(s):

Ravneet Kaur ◽

Shallu ◽

V.K. Kukreja ◽

Nabendra Parumasur ◽

Pravin Singh

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Burgers Equation ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Integration Schemes ◽

Temporal Domain ◽

Modified Burgers Equation ◽

Domain Integration

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Fourth Order Compact Finite Difference Method for Solving One Dimensional Wave Equation

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.281431 ◽

2016 ◽

Vol 8 (4) ◽

pp. 30-30

Author(s):

Gemechis File Duressa ◽

Tesfaye Aga Bullo ◽

Gashu Gadisa Kiltu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Compact Finite Difference ◽

One Dimensional ◽

Compact Finite Difference Method ◽

Dimensional Wave

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The symmetric compact finite difference method for nonlinear two-order boundary value problems

The 2nd International Conference on Information Science and Engineering ◽

10.1109/icise.2010.5689512 ◽

2010 ◽

Author(s):

Xiaopeng Lian ◽

Danfu Han

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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Compact finite difference method for integro-differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.11.007 ◽

2006 ◽

Vol 177 (1) ◽

pp. 271-288 ◽

Cited By ~ 47

Author(s):

Jichao Zhao ◽

Robert M. Corless

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Differential Equations ◽

Difference Method ◽

Compact Finite Difference ◽

Compact Finite Difference Method

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A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions

Advances in Difference Equations ◽

10.1186/s13662-018-1731-7 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 1

Author(s):

Rongpei Zhang ◽

Zheng Wang ◽

Jia Liu ◽

Luoman Liu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Spatial Dimensions ◽

High Spatial Dimensions ◽

Diffusion Problems

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