Malaysian Journal of Mathematical Sciences, August 2012, Vol. 6(S)
Special Issue: International Workshop on Mathematical Analysis (IWOMA)
Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions
Allaberen Ashyralyev and Yildirim Ozdemir
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
A numerical method is proposed for solving hyperbolic-parabolic partial differential equations with nonlocal boundary condition. The first and second orders of accuracy difference schemes are presented. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic parabolic partial differential equations. The method is illustrated by numerical
examples.
Keywords: Hyperbolic-parabolic equation, difference scheme, stability
