June 1984
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23 Reads
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24 Citations
Applied Mathematics and Computation
We study a finite element scheme and a difference scheme for the radial solutions of a nonlinear Klein-Gordon equation.
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... Historically, the problem of designing energy-conserving methods may date back to the decade of the 1970s [3,48]. However, it is worth mentioning that L. Vázquez and coauthors were probably the first researchers who pointed out the physical and mathematical significance of designing this type of schemes [43]. Various seminal papers by Vázquez and his coworkers were published in the 1990s, including various energy-conserving numerical schemes to solve partial differential equations like the Schrödinger equation [54], the sine-Gordon equation [6,19], Klein-Gordon equations [53], and even systems consisting of ordinary differential equations [20]. ...
- Citing Article
June 1984
Applied Mathematics and Computation