A B-Spline Quasi Interpolation Crank–Nicolson Scheme for Solving the Coupled Burgers Equations with the Caputo–Fabrizio Derivative
نویسندگان
چکیده
In this paper, a Crank–Nicolson finite difference scheme based on cubic B-spline quasi-interpolation has been derived for the solution of coupled Burgers equations with Caputo–Fabrizio derivative. The first- and second-order spatial derivatives have approximated by first second quasi-interpolation. discrete obtained in way constitutes system algebraic associated bi-pentadiagonal matrix. We show that proposed is unconditionally stable. Numerical examples are provided to verify efficiency method.
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2021
ISSN: ['1026-7077', '1563-5147', '1024-123X']
DOI: https://doi.org/10.1155/2021/8837846