High-order solution of one-dimensional sine–Gordon equation using compact finite difference and DIRKN methods

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2009.11.015 ◽

2010 ◽

Vol 51 (5-6) ◽

pp. 537-549 ◽

Author(s):

Akbar Mohebbi ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Sine Gordon Equation ◽

Compact Finite Difference ◽

One Dimensional ◽

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A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3326 ◽

2014 ◽

Vol 38 (17) ◽

pp. 3901-3922 ◽

Author(s):

Hamid Moghaderi ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Gordon Equation ◽

Sine Gordon Equation ◽

Compact Finite Difference ◽

One Dimensional ◽

Compact Finite Difference Method ◽

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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 ◽

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 ◽

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On the behavior of high-order compact approximations in the one-dimensional sine–Gordon equation

Physica Scripta ◽

10.1088/0031-8949/83/01/015015 ◽

2011 ◽

Vol 83 (1) ◽

pp. 015015 ◽

Author(s):

A Golbabai ◽

M M Arabshahi

Keyword(s):

Gordon Equation ◽

Sine Gordon Equation ◽

One Dimensional ◽

Compact Approximations ◽

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High-order solution of Generalized Burgers–Fisher Equation using compact finite difference and DIRK methods

Journal of Physics Conference Series ◽

10.1088/1742-6596/1999/1/012088 ◽

2021 ◽

Vol 1999 (1) ◽

pp. 012088

Author(s):

Mardan A. Pirdawood ◽

Younis A. Sabawi

Keyword(s):

Finite Difference ◽

Fisher Equation ◽

Compact Finite Difference ◽

Order Solution ◽

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A numerical method for the one-dimensional sine-Gordon equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20292 ◽

2008 ◽

Vol 24 (3) ◽

pp. 833-844 ◽

Author(s):

A.G. Bratsos

Keyword(s):

Numerical Method ◽

Gordon Equation ◽

Sine Gordon Equation ◽

One Dimensional ◽

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Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.03.009 ◽

2021 ◽

Vol 127 ◽

pp. 53-63

Author(s):

Farshid Mirzaee ◽

Shadi Rezaei ◽

Nasrin Samadyar

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Gordon Equation ◽

Meshfree Methods ◽

Two Dimensional ◽

Sine Gordon Equation ◽

Stochastic Time

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Development of a high-order compact finite-difference total Lagrangian method for nonlinear structural dynamic analysis

Applied Mathematical Modelling ◽

10.1016/j.apm.2018.06.049 ◽

2018 ◽

Vol 63 ◽

pp. 179-202 ◽

Author(s):

Kaveh Parseh ◽

Kazem Hejranfar

Keyword(s):

Finite Difference ◽

Dynamic Analysis ◽

Lagrangian Method ◽

Structural Dynamic ◽

Compact Finite Difference ◽

Nonlinear Structural

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On some modified variational iteration methods for solving the one-dimensional sine–Gordon equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.488292 ◽

2011 ◽

Vol 88 (5) ◽

pp. 969-981 ◽

Author(s):

Xinping Shao ◽

Danfu Han

Keyword(s):

Gordon Equation ◽

Sine Gordon Equation ◽

One Dimensional ◽

Variational Iteration ◽

Iteration Methods ◽

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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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Analysis of a conservative high-order compact finite difference scheme for the Klein–Gordon–Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.02.018 ◽

2019 ◽

Vol 358 ◽

pp. 84-96 ◽

Author(s):

Jialing Wang ◽

Dong Liang ◽

Yushun Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

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