A B-Spline Quasi Interpolation Crank–Nicolson Scheme for Solving the Coupled Burgers Equations with the Caputo–Fabrizio Derivative

M. Taghipour and H. Aminikhah

Mathematical Problems in Engineering, 2021, vol. 2021, 1-14

Abstract:

In this paper, a Crank–Nicolson finite difference scheme based on cubic B-spline quasi-interpolation has been derived for the solution of the coupled Burgers equations with the Caputo–Fabrizio derivative. The first- and second-order spatial derivatives have been approximated by first and second derivatives of the cubic B-spline quasi-interpolation. The discrete scheme obtained in this way constitutes a system of algebraic equations associated with a bi-pentadiagonal matrix. We show that the proposed scheme is unconditionally stable. Numerical examples are provided to verify the efficiency of the method.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8837846

DOI: 10.1155/2021/8837846

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