Discussion on “Numerical solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics”, “Analogue solution of 2nd-order hyperbolic partial differential equations by the method of continuous characteristics” and “Analogue solution of elliptic differential equations by conformal transformations”

1971 ◽  
Vol 118 (6) ◽  
pp. 812
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Solution ◽  
Hyperbolic Partial Differential Equations ◽  
Conformal Transformations ◽  
Partial Differential ◽  
Elliptic Differential Equations

scholarly journals On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Fadime Dal ◽  
Zehra Pinar
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Difference Scheme ◽  
Numerical Solution ◽  
Hyperbolic Partial Differential Equations ◽  
Stability Estimates ◽  
Partial Differential ◽  
One Dimensional ◽  
Gauss Elimination ◽  
Gauss Elimination Method

The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.

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