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An Efficient Cubic B-Spline Technique for Solving the Time Fractional Coupled Viscous Burgers Equation.
- Source :
-
Fractal & Fractional . Feb2024, Vol. 8 Issue 2, p93. 19p. - Publication Year :
- 2024
-
Abstract
- The second order Burger's equation model is used to study the turbulent fluids, suspensions, shock waves, and the propagation of shallow water waves. In the present research, we investigate a numerical solution to the time fractional coupled-Burgers equation (TFCBE) using Crank–Nicolson and the cubic B-spline (CBS) approaches. The time derivative is addressed using Caputo's formula, while the CBS technique with the help of a θ -weighted scheme is utilized to discretize the first- and second-order spatial derivatives. The quasi-linearization technique is used to linearize the non-linear terms. The suggested scheme demonstrates unconditionally stable. Some numerical tests are utilized to evaluate the accuracy and feasibility of the current technique. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BURGERS' equation
*WATER depth
*SHOCK waves
*QUASILINEARIZATION
*FINITE differences
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 175647338
- Full Text :
- https://doi.org/10.3390/fractalfract8020093