Unknown

Dataset Information

0

Two different methods for numerical solution of the modified Burgers' equation.


ABSTRACT: A numerical solution of the modified Burgers' equation (MBE) is obtained by using quartic B-spline subdomain finite element method (SFEM) over which the nonlinear term is locally linearized and using quartic B-spline differential quadrature (QBDQM) method. The accuracy and efficiency of the methods are discussed by computing L 2 and L ∞ error norms. Comparisons are made with those of some earlier papers. The obtained numerical results show that the methods are effective numerical schemes to solve the MBE. A linear stability analysis, based on the von Neumann scheme, shows the SFEM is unconditionally stable. A rate of convergence analysis is also given for the DQM.

SUBMITTER: Karakoc SB 

PROVIDER: S-EPMC4076646 | biostudies-other | 2014

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC7254341 | biostudies-literature
| S-EPMC9321790 | biostudies-literature
| S-EPMC4438506 | biostudies-literature
| S-EPMC7594019 | biostudies-literature
| 2051444 | ecrin-mdr-crc
| S-EPMC3496749 | biostudies-literature
| S-EPMC6387385 | biostudies-literature
| S-EPMC1168197 | biostudies-other
| S-EPMC7513018 | biostudies-literature
| S-EPMC5707563 | biostudies-literature