Numerical study of time-fractional hyperbolic partial differential equations


Authors

Saima Arshed - Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan.


Abstract

In this study, a numerical scheme is developed for the solution of time-fractional hyperbolic partial differential equation. In the proposed scheme, cubic B-spline collocation is used for space discretization and time discretization is obtained by using central difference formula. Caputo fractional derivative is used for time-fractional derivative. The stability and convergence of the developed scheme, have also been proved. The numerical examples support the theoretical results.


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ISRP Style

Saima Arshed, Numerical study of time-fractional hyperbolic partial differential equations, Journal of Mathematics and Computer Science, 17 (2017), no. 1, 53-65

AMA Style

Arshed Saima, Numerical study of time-fractional hyperbolic partial differential equations. J Math Comput SCI-JM. (2017); 17(1):53-65

Chicago/Turabian Style

Arshed, Saima. "Numerical study of time-fractional hyperbolic partial differential equations." Journal of Mathematics and Computer Science, 17, no. 1 (2017): 53-65


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