In this study differential quadrature method based on quintic B-spline functions is setup for numerical solutions for nonlinear viscous Burgers’ equation. After space discretization with differential quadrature and application of boundary conditions, the resultant ordinary differential equation system is integrated in time by using Runge-Kutta method of order four. The method is validated by solving two initial value problems for the Burgers’ equation. The errors of the numerical solutions are measured by using discrete maximum norm. A comparison with some earlier works also given for the problem modeling fadeout of an initial shock.
Primary Language | en |
---|---|
Journal Section | Articles |
Authors | |
Dates |
Publication Date : May 30, 2018 |
Bibtex | @research article { cankujse428199,
journal = {Cankaya University Journal of Science and Engineering},
issn = {},
eissn = {2564-7954},
address = {},
publisher = {Cankaya University},
year = {2018},
volume = {15},
pages = { - },
doi = {},
title = {Quintic B-spline Differential Quadrature for Burgers’ Equation},
key = {cite},
author = {Korkmaz, Alper}
} |
APA | Korkmaz, A . (2018). Quintic B-spline Differential Quadrature for Burgers’ Equation . Cankaya University Journal of Science and Engineering , 15 (1) , . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/37138/428199 |
MLA | Korkmaz, A . "Quintic B-spline Differential Quadrature for Burgers’ Equation" . Cankaya University Journal of Science and Engineering 15 (2018 ): <https://dergipark.org.tr/en/pub/cankujse/issue/37138/428199> |
Chicago | Korkmaz, A . "Quintic B-spline Differential Quadrature for Burgers’ Equation". Cankaya University Journal of Science and Engineering 15 (2018 ): |
RIS | TY - JOUR T1 - Quintic B-spline Differential Quadrature for Burgers’ Equation AU - Alper Korkmaz Y1 - 2018 PY - 2018 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - EP - VL - 15 IS - 1 SN - -2564-7954 M3 - UR - Y2 - 2020 ER - |
EndNote | %0 Cankaya University Journal of Science and Engineering Quintic B-spline Differential Quadrature for Burgers’ Equation %A Alper Korkmaz %T Quintic B-spline Differential Quadrature for Burgers’ Equation %D 2018 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 15 %N 1 %R %U |
ISNAD | Korkmaz, Alper . "Quintic B-spline Differential Quadrature for Burgers’ Equation". Cankaya University Journal of Science and Engineering 15 / 1 (May 2018): - . |
AMA | Korkmaz A . Quintic B-spline Differential Quadrature for Burgers’ Equation. Cankaya University Journal of Science and Engineering. 2018; 15(1): -. |
Vancouver | Korkmaz A . Quintic B-spline Differential Quadrature for Burgers’ Equation. Cankaya University Journal of Science and Engineering. 2018; 15(1): -. |