2022•International Journal of Emerging Multidisciplinaries MathematicsOpen access

Homotopy Analysis Method for Free-Convective Boundary-Layer Equation Using Pade ´Approximation

Raja Mehmood Khan, Naveed Imran

Abstract

This paper is devoted to the study of a free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations. We apply Homotopy Analysis Method (HAM) along with Pade´ approximation to solve free-convective boundary-layer equation. It is observed that the combination of HAM and the Pade´ approximation improves the accuracy and enlarge the convergence domain.

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Key concepts: Homotopy analysis method, Padé approximant, Mathematics, Convective Boundary Layer, Mathematical analysis, Boundary layer, Ordinary differential equation, Convergence (economics)