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Volume 11, Issue 3
A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

Chunhua Zhang & Haiwei Sun

DOI: 10.4208/eajam.271120.310321

East Asian J. Appl. Math., 11 (2021), pp. 604-617.

Published online: 2021-05

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  • Abstract

A numerical method for nonlinear time fractional Klein-Gordon equations is studied. Discretising spatial and temporal variables by a combined compact difference and a weighted approximation, respectively, we develop a linearised method for the equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy of the method.

  • Keywords

Combined compact difference method, finite difference method, nonlinear time fractional Klein-Gordon equation.

  • AMS Subject Headings

65M06, 65N06

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-604, author = {Zhang , Chunhua and Sun , Haiwei}, title = {A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {3}, pages = {604--617}, abstract = {

A numerical method for nonlinear time fractional Klein-Gordon equations is studied. Discretising spatial and temporal variables by a combined compact difference and a weighted approximation, respectively, we develop a linearised method for the equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.271120.310321}, url = {http://global-sci.org/intro/article_detail/eajam/19144.html} }
TY - JOUR T1 - A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations AU - Zhang , Chunhua AU - Sun , Haiwei JO - East Asian Journal on Applied Mathematics VL - 3 SP - 604 EP - 617 PY - 2021 DA - 2021/05 SN - 11 DO - http://doi.org/10.4208/eajam.271120.310321 UR - https://global-sci.org/intro/article_detail/eajam/19144.html KW - Combined compact difference method, finite difference method, nonlinear time fractional Klein-Gordon equation. AB -

A numerical method for nonlinear time fractional Klein-Gordon equations is studied. Discretising spatial and temporal variables by a combined compact difference and a weighted approximation, respectively, we develop a linearised method for the equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy of the method.

Zhang , Chunhua and Sun , Haiwei. (2021). A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations. East Asian Journal on Applied Mathematics. 11 (3). 604-617. doi:10.4208/eajam.271120.310321
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