scholarly journals Compact difference schemes for Klein–Gordon equation with variable coefficients

2021 ◽  
Vol 65 (1) ◽  
pp. 25-32
Author(s):  
P. P. Matus ◽  
H.T.K. Anh
Keyword(s):  
Gordon Equation ◽  
Variable Coefficients ◽  
Difference Schemes ◽  
Compact Difference Schemes ◽  
Compact Difference ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Compact difference schemes for Klein-Gordon equation

2020 ◽  
Vol 64 (5) ◽  
pp. 526-533
Author(s):  
P. P. Matus ◽  
H. T. K. Anh
Keyword(s):  
Gordon Equation ◽  
Initial Conditions ◽  
Linear Equations ◽  
Strong Stability ◽  
Difference Schemes ◽  
Difference Approximation ◽  
Compact Difference ◽  
Stability Of Difference Schemes ◽  
Klein Gordon ◽  
The Difference

In this paper, we consider compact difference approximation of the fourth-order schemes for linear, semi-linear, and quasilinear Klein-Gordon equations. with respect to a small perturbation of initial conditions, right-hand side, and coefficients of the linear equations the strong stability of difference schemes is proved. The conducted numerical experiment shows how Runge rule is used to determine the orders of convergence of the difference scheme in the case of two independent variables.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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