Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation

High Order ◽

Klein Gordon ◽

Difference Methods ◽

High Order Finite Difference ◽

The Finite Difference Methods for –Nonlinear Klein Gordon Equation

IOSR Journal of Engineering ◽

10.9790/3021-031150105 ◽

2013 ◽

Vol 3 (11) ◽

pp. 01-05

Author(s):

Fadhil H. Easif

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Klein Gordon ◽

Difference Methods ◽

Optimal error estimates of fourth‐order compact finite difference methods for the nonlinear Klein–Gordon equation in the nonrelativistic regime

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22664 ◽

2020 ◽

Author(s):

Teng Zhang ◽

Tingchun Wang

Keyword(s):

Finite Difference ◽

Error Estimates ◽

Fourth Order ◽

Gordon Equation ◽

Optimal Error Estimates ◽

Optimal Error ◽

Klein Gordon ◽

Difference Methods ◽

Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.140820.250820 ◽

2021 ◽

Vol 11 (1) ◽

pp. 119-142

Author(s):

Jingye Yan

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Klein Gordon ◽

Difference Methods ◽

The Finite Difference Methods for φ4 Klein-Gordon Equation

AL-Rafidain Journal of Computer Sciences and Mathematics ◽

10.33899/csmj.2008.163970 ◽

2008 ◽

Vol 5 (2) ◽

pp. 47-63

Author(s):

Saad Manaa ◽

Laya Hawell

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Klein Gordon ◽

Difference Methods ◽

Two regularized energy-preserving finite difference methods for the logarithmic Klein-Gordon equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113478 ◽

2021 ◽

pp. 113478

Author(s):

Jingye Yan ◽

Xu Qian ◽

Hong Zhang ◽

Songhe Song

Keyword(s):

Finite Difference ◽

Gordon Equation ◽

Klein Gordon ◽

Difference Methods ◽

Long time error analysis of the fourth‐order compact finite difference methods for the nonlinear Klein–Gordon equation with weak nonlinearity

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22558 ◽

2020 ◽

Vol 37 (1) ◽

pp. 897-914

Author(s):

Yue Feng

Keyword(s):

Finite Difference ◽

Fourth Order ◽

Gordon Equation ◽

Time Error ◽

Weak Nonlinearity ◽

Long Time ◽

Klein Gordon ◽

Difference Methods ◽

High order finite difference methods for unsteady incompressible flows in multi-connected domains

Computers & Fluids ◽

10.1016/s0045-7930(03)00037-9 ◽

2004 ◽

Vol 33 (2) ◽

pp. 223-255 ◽

Cited By ~ 10

Author(s):

Jian-Guo Liu ◽

Cheng Wang

Keyword(s):

Finite Difference ◽

Incompressible Flows ◽

High Order ◽

Difference Methods ◽

On the spurious solutions in the high-order finite difference methods for eigenvalue problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.06.018 ◽

2007 ◽

Vol 196 (49-52) ◽

pp. 5031-5046 ◽

Cited By ~ 26

Author(s):

S. Zhao

Keyword(s):

Finite Difference ◽

Eigenvalue Problems ◽

High Order ◽

Spurious Solutions ◽

Difference Methods ◽

High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.03.035 ◽

2017 ◽

Vol 309 ◽

pp. 31-48 ◽

Cited By ~ 4

Author(s):

Dingwen Deng ◽

Yaolin Jiang ◽

Dong Liang

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Second Order ◽

High Order ◽

Dual Phase ◽

Microscale Heat Transfer ◽

Difference Methods ◽

High order finite difference methods on non-uniform meshes for space fractional operators

Advances in Computational Mathematics ◽

10.1007/s10444-015-9430-3 ◽

2015 ◽

Vol 42 (2) ◽

pp. 425-468 ◽

Cited By ~ 8

Author(s):

Lijing Zhao ◽

Weihua Deng

Keyword(s):

Finite Difference ◽

High Order ◽

Fractional Operators ◽

Difference Methods ◽