Numerical solution of a second‐moment parabolic equation for sound propagation in a random medium

1999 ◽  
Vol 106 (4) ◽  
pp. 2145-2145
Author(s):  
D. Keith Wilson ◽  
Vladimir E. Ostashev
Keyword(s):  
Parabolic Equation ◽  
Numerical Solution ◽  
Sound Propagation ◽  
Random Medium ◽  
Second Moment

scholarly journals Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdon Atangana ◽  
Dumitru Baleanu
Keyword(s):  
Parabolic Equation ◽  
Fractional Calculus ◽  
Numerical Solution ◽  
Parabolic Equations ◽  
Difference Schemes ◽  
Stability And Convergence ◽  
Implicit Schemes ◽  
The Stability

A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes. We presented together the stability and convergence of this time-fractional parabolic equation with two difference schemes. The explicit and the implicit schemes in this case are stable under some conditions.

A fast parabolic equation method for outdoor sound propagation.

1991 ◽  
Vol 90 (4) ◽  
pp. 2307-2307
Author(s):  
Kenneth E. Gilbert ◽  
Xiao Di ◽  
Chulsoo You
Keyword(s):  
Parabolic Equation ◽  
Sound Propagation ◽  
Equation Method ◽  
Parabolic Equation Method
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