Numerical approach of flow and mass transfer on nonlinear stretching sheet with chemically reactive species using rational Jacobi collocation method

摘要

Purpose - The aim is to present in this paper an effective strategy in dealing with a semi-infinite interval by using a suitable mapping that transforms a semi-infinite interval to a finite interval. Design/methodology/approach - The authors introduce a new orthogonal system of rational functions induced by general Jacobi polynomials with the parameters alpha and beta. It is more flexible in applications. In particular, alpha and beta could be regulated, so that the systems are mutually orthogonal in certain weighted Hilbert spaces. Findings - This approach is applied for solving a non-linear system two-point boundary value problem (BVP) on semi-infinite interval, describing the flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium. The new approach reduces the solution of a problem to the solution of a system of algebraic equations. Originality/value - The paper presents an effective strategy in dealing with a semi-infinite interval by using a suitable mapping that transforms a semi-infinite interval to a finite interval.