A numerical technique for solving fractional Benjamin-Bona-Mahony-Burgers equations with bibliometric analysis

Abstract

In this chapter, we provide an efficient technique for solving fractional Benjamin-Bona-Mahony-Burgers equations arising from the propagation of water. The proposed method is based upon the Müntz-Legendre polynomials and collocation method. We present the Riemann-Liouville pseudooperational matrix for these polynomials. Using the Riemann-Liouville pseudooperational matrix and collocation method, we convert the problem to a system of nonlinear algebraic equations. We also present the convergence analysis. To reveal the performance and accuracy of the present technique, we provide some numerical evidence. Moreover, we present a brief bibliometric analysis and scientific trends of considered equations.