Numerical Scheme Based on the Implicit Runge-Kutta Method and Spectral Method for Calculating Nonlinear Hyperbolic Evolution Equations
Keyword(s):
A numerical scheme for nonlinear hyperbolic evolution equations is made based on the implicit Runge-Kutta method and the Fourier spectral method. The detailed discretization processes are discussed in the case of one-dimensional Klein-Gordon equations. In conclusion, a numerical scheme with third-order accuracy is presented. The order of total calculation cost is O(Nlog2N). As a benchmark, the relations between numerical accuracy and discretization unit size and that between the stability of calculation and discretization unit size are demonstrated for both linear and nonlinear cases.
Keyword(s):
1990 ◽
Vol 3
(3)
◽
pp. 123-125
◽
2017 ◽
Vol 41
(2)
◽
pp. 429-437
◽
Keyword(s):
2016 ◽
Vol 13
(06)
◽
pp. 1650037
1991 ◽
Vol 43
(2)
◽
pp. 231-234
◽
Keyword(s):
2015 ◽
Vol 4
(1)
◽
pp. 180
2011 ◽
pp. 191-194
◽
Keyword(s):
2021 ◽
pp. 146134842110637
Keyword(s):