Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7988 ◽

2021 ◽

Author(s):

Farshid Mirzaee ◽

Shadi Rezaei ◽

Nasrin Samadyar

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Sine Gordon Equation

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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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An optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation

Advances in Difference Equations ◽

10.1186/s13662-018-1939-6 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Yanjie Zhou ◽

Zhendong Luo

Keyword(s):

Finite Difference ◽

Fractional Order ◽

Gordon Equation ◽

Parabolic Type ◽

Sine Gordon Equation ◽

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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 family of parametric finite-difference methods for the solution of the sine-Gordon equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(97)10110-2 ◽

1998 ◽

Vol 93 (2-3) ◽

pp. 117-137 ◽

Author(s):

A.G. Bratsos ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Finite Difference Methods ◽

Sine Gordon Equation ◽

Difference Methods

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Finite Difference Solution of (1+1) Sine- Gordon Equation: A Mathematical Model for the Rigid Pendula Attached to a Stretched Wire

The SIJ Transactions on Computer Science Engineering & its Applications (CSEA) ◽

10.9756/sijcsea/v3i2/03040130101 ◽

2015 ◽

Vol 03 (02) ◽

pp. 14-20

Author(s):

Abel Kurura Tinega ◽

Oduor Okoya Michael Edmund Edmund

Keyword(s):

Mathematical Model ◽

Finite Difference ◽

Gordon Equation ◽

Sine Gordon Equation ◽

Finite Difference Solution ◽

Difference Solution

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A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

Advances in Difference Equations ◽

10.1186/s13662-018-1674-z ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Yanjie Zhou ◽

Zhendong Luo

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fractional Order ◽

Finite Difference Scheme ◽

Gordon Equation ◽

Parabolic Type ◽

Riesz Space ◽

Sine Gordon Equation ◽

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An efficient finite difference scheme for the 2D sine-Gordon equation

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.06.14 ◽

2017 ◽

Vol 10 (06) ◽

pp. 2998-3012 ◽

Author(s):

Xiaorong Kang ◽

Wenqiang Feng ◽

Kelong Cheng ◽

Chunxiang Guo

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Gordon Equation ◽

Sine Gordon Equation

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A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation

Applied and Computational Mathematics ◽

10.11648/j.acm.20180701.13 ◽

2018 ◽

Vol 7 (1) ◽

pp. 19 ◽

Author(s):

Hong Xia

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Iterative Scheme ◽

Sine Gordon Equation ◽

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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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